إقليدس

11-10-2008, 03:27 PM

.][ السلام عليكم ورحمة الله وبركاته ][.

بيكفي، بلاش مقدمات :)

باسم الله ...

:36_1_33:

بيكفي، بلاش مقدمات :)

باسم الله ...

:36_1_33:

مشاهدة النسخة كاملة : -×- أغلب مراجع المعادلات التفاضبيه ... هون -×-

إقليدس

11-10-2008, 03:27 PM

.][ السلام عليكم ورحمة الله وبركاته ][.

بيكفي، بلاش مقدمات :)

باسم الله ...

:36_1_33:

بيكفي، بلاش مقدمات :)

باسم الله ...

:36_1_33:

إقليدس

11-10-2008, 03:28 PM

ISBN: 0444506160

Title: Numerical Analysis 2000, Volume 7, Partial Differential Equations

Author: Keith Jones, D. Sloan (Editor) , E Suli, S. Vandewaite

Publisher: North Holland

Publication Date: 2001-07-01

Number Of Pages: 480

Editorial Description

/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price !Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady diversification of the field were stimulated by the demand for accurate and reliable tools for computational modelling in physical sciences and engineering

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Title: Numerical Analysis 2000, Volume 7, Partial Differential Equations

Author: Keith Jones, D. Sloan (Editor) , E Suli, S. Vandewaite

Publisher: North Holland

Publication Date: 2001-07-01

Number Of Pages: 480

Editorial Description

/homepage/sac/cam/na2000/index.html7-Volume Set now available at special set price !Over the second half of the 20th century the subject area loosely referred to as numerical analysis of partial differential equations (PDEs) has undergone unprecedented development. At its practical end, the vigorous growth and steady diversification of the field were stimulated by the demand for accurate and reliable tools for computational modelling in physical sciences and engineering

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11-10-2008, 03:30 PM

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ISBN: 0127843973

Title: Handbook of Differential Equations (CD-ROM Version 1 only), Third Edition

Author: Daniel Zwillinger

Publisher: Academic Press

Publication Date: 1997-10-27

Number Of Pages: 824

This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations.

Key Features

* For nearly every technique, the book and CD-ROM provide:

* The types of equations to which the method is applicable

* The idea behind the method

* The procedure for carrying out the method

* At least one simple example of the method

* Any cautions that should be exercised

* Notes for more advanced users

* References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs

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ISBN: 0127843973

Title: Handbook of Differential Equations (CD-ROM Version 1 only), Third Edition

Author: Daniel Zwillinger

Publisher: Academic Press

Publication Date: 1997-10-27

Number Of Pages: 824

This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations.

Key Features

* For nearly every technique, the book and CD-ROM provide:

* The types of equations to which the method is applicable

* The idea behind the method

* The procedure for carrying out the method

* At least one simple example of the method

* Any cautions that should be exercised

* Notes for more advanced users

* References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs

=======================

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إقليدس

11-10-2008, 03:31 PM

Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations

Springer | ISBN: 0387986901 | 1999 | 299 pages | PDF | 1.3 MB

Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series

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Springer | ISBN: 0387986901 | 1999 | 299 pages | PDF | 1.3 MB

Simple Ordinary Differential Equations may have solutions in terms of power series whose coefficients grow at such a rate that the series has a radius of convergence equal to zero. In fact, every linear meromorphic system has a formal solution of a certain form, which can be relatively easily computed, but which generally involves such power series diverging everywhere. In this book the author presents the classical theory of meromorphic systems of ODE in the new light shed upon it by the recent achievements in the theory of summability of formal power series

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11-10-2008, 03:38 PM

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ISBN: 0471588849

Title: An Introduction to the Fractional Calculus and Fractional Differential Equations

Author: Kenneth S. Miller Bertram Ross

Publisher: John Wiley & Sons

Publication Date: 1993-05-19

Number Of Pages: 384

Commences with the historical development of fractional calculus, its mathematical theory—particularly the Riemann-Liouville version. Numerous examples and theoretical applications of the theory are presented. Features topics associated with fractional differential equations. Discusses Weyl fractional calculus and some of its uses. Includes selected physical problems which lead to fractional differential or integral equations

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ISBN: 0471588849

Title: An Introduction to the Fractional Calculus and Fractional Differential Equations

Author: Kenneth S. Miller Bertram Ross

Publisher: John Wiley & Sons

Publication Date: 1993-05-19

Number Of Pages: 384

Commences with the historical development of fractional calculus, its mathematical theory—particularly the Riemann-Liouville version. Numerous examples and theoretical applications of the theory are presented. Features topics associated with fractional differential equations. Discusses Weyl fractional calculus and some of its uses. Includes selected physical problems which lead to fractional differential or integral equations

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إقليدس

11-10-2008, 03:40 PM

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ISBN: 3764370092

Title: Adaptive Finite Element Methods for Differential Equations (Lectures in Mathematics. ETH Zürich)

Author: Wolfgang Bangerth Rolf Rannacher

Publisher: Birkhäuser Basel

Publication Date: 2003-04-28

Number Of Pages: 207

The key issues are a posteriori error estimation and it automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method for goal-oriented error estimation, is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag

كود:

Preface

1 Introduction 1

2 An ODE Model Case 15

3 A PDE Model Case 25

4 Practical Aspects 41

5 The Limits of Theoretical Analysis 61

6 An Abstract Approach for Nonlinear Problems 71

7 Eigenvalue Problems 81

8 Optimixation Problems 101

9 Time-Dependent Problems 113

10 Applications in Structural Mechanics 129

11 Applications in Fluid Mechanics 143

12 Miscellaneous and Open Problems 161

A Solutions of exercises 167

Bibliography 191

Index 203

http://rapidshare.com/files/9873112/Bangerth.djvu

ISBN: 3764370092

Title: Adaptive Finite Element Methods for Differential Equations (Lectures in Mathematics. ETH Zürich)

Author: Wolfgang Bangerth Rolf Rannacher

Publisher: Birkhäuser Basel

Publication Date: 2003-04-28

Number Of Pages: 207

The key issues are a posteriori error estimation and it automatic mesh adaptation. Besides the traditional approach of energy-norm error control, a new duality-based technique, the Dual Weighted Residual method for goal-oriented error estimation, is discussed in detail. This method aims at economical computation of arbitrary quantities of physical interest by properly adapting the computational mesh. This is typically required in the design cycles of technical applications. For example, the drag

كود:

Preface

1 Introduction 1

2 An ODE Model Case 15

3 A PDE Model Case 25

4 Practical Aspects 41

5 The Limits of Theoretical Analysis 61

6 An Abstract Approach for Nonlinear Problems 71

7 Eigenvalue Problems 81

8 Optimixation Problems 101

9 Time-Dependent Problems 113

10 Applications in Structural Mechanics 129

11 Applications in Fluid Mechanics 143

12 Miscellaneous and Open Problems 161

A Solutions of exercises 167

Bibliography 191

Index 203

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إقليدس

11-10-2008, 03:42 PM

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ISBN: 0127843973

Title: Handbook of Differential Equations (CD-ROM Version 1 only), Third Edition

Author: Daniel Zwillinger

Publisher: Academic Press

Publication Date: 1997-10-27

Number Of Pages: 824

This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations.Key Features* For nearly every tec

__________________

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ISBN: 0127843973

Title: Handbook of Differential Equations (CD-ROM Version 1 only), Third Edition

Author: Daniel Zwillinger

Publisher: Academic Press

Publication Date: 1997-10-27

Number Of Pages: 824

This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations.Key Features* For nearly every tec

__________________

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إقليدس

11-10-2008, 03:43 PM

ISBN: 0521205832

Title: Partial Differential Equations

Author: Copson

Publisher: Cambridge University Press

Publication Date: 1975-10-31

Number Of Pages: 287

This book has been written in memory of my father-in-law the late Professor Sir Edmund Whittaker, F.R.S., in gratitude for all the

help and encouragement he gave me for over thirty years. Today is the hundredth anniversary of his birth. When I went to Edinburgh as a young lecturer in 1922,1 was surprised to find how different the curriculum was from that in Oxford. It included such topics as Lebesgue integration, matrix theory, numerical analysis, Riemannian geometry, of which I knew nothing. I was particularly impressed by Whittaker's lectures on partial differential equations to undergraduate and postgraduate students, far different from the standard English textbooks of the time. This book is not based on Whittaker's lectures; yet without his inspiration it would never have been written. I have frequently given courses of lectures on partial differential equations and have always regretted that there was no book to which I could refer my students. Friends told me that the remedy was to write one myself; and here it is, a presentation of some of the theory by the methods of classical analysis. There are few references to original sources. After lecturing on the subject for so many years, I could not now say whence the material came. On page 277 will be found a list of the books which

I have read with profit, many of them more advanced than this.

Table of *******s

كود:

Preface page vii

1 Partial differential equations of the first order 1

2 Characteristics of equations of the second order 24

3 Boundary value and initial value problems 44

4 Equations of hyperbolic type 54

5 Riemann's method 77

6 The equation of wave motions 90

7 Marcel Riesz's method 107

8 Potential theory in the plane 131

9 Subharmonic functions and the problem of Dirichlet 175

10 Equations of elliptic type in the plane 186

11 Equations of elliptic type in space 207

12 The equation of heat 238

Appendix 271

Books for further reading 277

Index 279

Download Details

Djvu, 1,9 Mb

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OR

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Title: Partial Differential Equations

Author: Copson

Publisher: Cambridge University Press

Publication Date: 1975-10-31

Number Of Pages: 287

This book has been written in memory of my father-in-law the late Professor Sir Edmund Whittaker, F.R.S., in gratitude for all the

help and encouragement he gave me for over thirty years. Today is the hundredth anniversary of his birth. When I went to Edinburgh as a young lecturer in 1922,1 was surprised to find how different the curriculum was from that in Oxford. It included such topics as Lebesgue integration, matrix theory, numerical analysis, Riemannian geometry, of which I knew nothing. I was particularly impressed by Whittaker's lectures on partial differential equations to undergraduate and postgraduate students, far different from the standard English textbooks of the time. This book is not based on Whittaker's lectures; yet without his inspiration it would never have been written. I have frequently given courses of lectures on partial differential equations and have always regretted that there was no book to which I could refer my students. Friends told me that the remedy was to write one myself; and here it is, a presentation of some of the theory by the methods of classical analysis. There are few references to original sources. After lecturing on the subject for so many years, I could not now say whence the material came. On page 277 will be found a list of the books which

I have read with profit, many of them more advanced than this.

Table of *******s

كود:

Preface page vii

1 Partial differential equations of the first order 1

2 Characteristics of equations of the second order 24

3 Boundary value and initial value problems 44

4 Equations of hyperbolic type 54

5 Riemann's method 77

6 The equation of wave motions 90

7 Marcel Riesz's method 107

8 Potential theory in the plane 131

9 Subharmonic functions and the problem of Dirichlet 175

10 Equations of elliptic type in the plane 186

11 Equations of elliptic type in space 207

12 The equation of heat 238

Appendix 271

Books for further reading 277

Index 279

Download Details

Djvu, 1,9 Mb

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إقليدس

11-10-2008, 03:44 PM

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ISBN: 3764373687

Title: Differential Equations with Symbolic Computation (Trends in Mathematics)

Author: Dongming Wang Zhiming Zheng

Publisher: Birkhauser

Publication Date: 2005-09-27

Number Of Pages: 374

This book presents the state of the art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions. The 20 chapters are written by leading experts and are structured into three parts. The book is worth reading for researchers and students working on this interdisciplinary subject but may also serve as a valuable reference for everyone interested in differential equations, symbolic computation, and their interaction

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ISBN: 3764373687

Title: Differential Equations with Symbolic Computation (Trends in Mathematics)

Author: Dongming Wang Zhiming Zheng

Publisher: Birkhauser

Publication Date: 2005-09-27

Number Of Pages: 374

This book presents the state of the art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions. The 20 chapters are written by leading experts and are structured into three parts. The book is worth reading for researchers and students working on this interdisciplinary subject but may also serve as a valuable reference for everyone interested in differential equations, symbolic computation, and their interaction

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إقليدس

11-10-2008, 03:44 PM

ISBN: 0471399647

Title: Ordinary Differential Equations in the Complex Domain (Pure & Applied Mathematics)

Author: Einar Hille

Publisher: John Wiley & Sons Inc

Publication Date: 1976-06

Number Of Pages: 496

Graduate-level text offers full and extensive treatments of existence theorems, representation of solutions by series, representation by integrals, theory of majorants, dominants and minorants, questions of growth, much more. Relevant review material on complex analysis supplied. 675 exercises at chapter ends. Bibliography

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Title: Ordinary Differential Equations in the Complex Domain (Pure & Applied Mathematics)

Author: Einar Hille

Publisher: John Wiley & Sons Inc

Publication Date: 1976-06

Number Of Pages: 496

Graduate-level text offers full and extensive treatments of existence theorems, representation of solutions by series, representation by integrals, theory of majorants, dominants and minorants, questions of growth, much more. Relevant review material on complex analysis supplied. 675 exercises at chapter ends. Bibliography

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11-10-2008, 03:45 PM

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ISBN: 3764376007

Title: Partial Differential Equations and Functional Analysis: The Philippe Clément Festschrift (Operator Theory: Advances and Applications)

Author: Erik Koelink, Jan van Neerven, Ben de Pagter, and Guido Sweers

Publisher: Birkhauser

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Title: Partial Differential Equations and Functional Analysis: The Philippe Clément Festschrift (Operator Theory: Advances and Applications)

Author: Erik Koelink, Jan van Neerven, Ben de Pagter, and Guido Sweers

Publisher: Birkhauser

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11-10-2008, 03:46 PM

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ISBN: 3764372931

Title: Nonlinear Partial Differential Equations with Applications (International Series of Numerical Mathematics)

Author: Tomás Roubicek

Publisher: Birkhauser

Publication Date: 2005-10-26

Number Of Pages: 405

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads general theory as fast as possible towards the analysis of concrete equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering

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ISBN: 3764372931

Title: Nonlinear Partial Differential Equations with Applications (International Series of Numerical Mathematics)

Author: Tomás Roubicek

Publisher: Birkhauser

Publication Date: 2005-10-26

Number Of Pages: 405

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads general theory as fast as possible towards the analysis of concrete equations, which have specific applications in continuum (thermo-) mechanics of solids and fluids, electrically (semi-) conductive media, modelling of biological systems, or in mechanical engineering

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11-10-2008, 03:46 PM

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Handbook of Exact Solutions for Ordinary Differential Equations

By Andrei D. Polyanin, V. F. Zaitsev

Publisher: CRC-Press

Number Of Pages: 707

Publication Date: 1995-07-09

ISBN / ASIN: 0849394384

Exact solutions have always played and still play an important role in properly understanding the qualitative features of many phenomena. The Handbook of Exact Solutions for Ordinary Differential Equations contains a collection of more than 5,000 ordinary differential equations and their solutions. Coverage focuses on two types of equations: those that are of interest to researchers but are difficult to integrate (Abel equations, Emden-Fowler equations, Painlev equations, etc.), and equations relevant to applications in heat and mass transfer, nonlinear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering, and other related fields. The authors also pay special attention to equations containing arbitrary functions, and devote other sections to equations contain one or more arbitrary parameters that the reader can fix at will

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Handbook of Exact Solutions for Ordinary Differential Equations

By Andrei D. Polyanin, V. F. Zaitsev

Publisher: CRC-Press

Number Of Pages: 707

Publication Date: 1995-07-09

ISBN / ASIN: 0849394384

Exact solutions have always played and still play an important role in properly understanding the qualitative features of many phenomena. The Handbook of Exact Solutions for Ordinary Differential Equations contains a collection of more than 5,000 ordinary differential equations and their solutions. Coverage focuses on two types of equations: those that are of interest to researchers but are difficult to integrate (Abel equations, Emden-Fowler equations, Painlev equations, etc.), and equations relevant to applications in heat and mass transfer, nonlinear mechanics, hydrodynamics, nonlinear oscillations, combustion, chemical engineering, and other related fields. The authors also pay special attention to equations containing arbitrary functions, and devote other sections to equations contain one or more arbitrary parameters that the reader can fix at will

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11-10-2008, 03:49 PM

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Handbook of Differential Equations, Third Edition

By Daniel Zwillinger

Publisher: Academic Press

Number Of Pages: 801

Publication Date: 1998-01-15

ISBN / ASIN: 0127843965

This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations

كود:

* For nearly every technique, the book and CD-ROM provide:

* The types of equations to which the method is applicable

* The idea behind the method

* The procedure for carrying out the method

* At least one simple example of the method

* Any cautions that should be exercised

* Notes for more advanced users

* References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs

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Handbook of Differential Equations, Third Edition

By Daniel Zwillinger

Publisher: Academic Press

Number Of Pages: 801

Publication Date: 1998-01-15

ISBN / ASIN: 0127843965

This book and CD-ROM compile the most widely applicable methods for solving and approximating differential equations. The CD-ROM provides convenient access to these methods through electronic search capabilities, andtogether the book and CD-ROM contain numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations

كود:

* For nearly every technique, the book and CD-ROM provide:

* The types of equations to which the method is applicable

* The idea behind the method

* The procedure for carrying out the method

* At least one simple example of the method

* Any cautions that should be exercised

* Notes for more advanced users

* References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs

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11-10-2008, 03:50 PM

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By James Morris Page

* Publisher: Cornell University Library

* Number Of Pages: 244

* Publication Date: 2007-01-09

* ISBN / ASIN: 1429703822

This volume is produced from digital images from the Cornell University Library Historical Mathematics Monographs collection.

http://rapidshare.com/files/34791150...1897.djvu.html (http://rapidshare.com/files/34791150/James_M._Page._Ordinary_Differential_Equations._18 97.djvu.html) Ordinary differential equations: with an introduction to Lie's theory of the group of one parameter.

By James Morris Page

* Publisher: Cornell University Library

* Number Of Pages: 244

* Publication Date: 2007-01-09

* ISBN / ASIN: 1429703822

This volume is produced from digital images from the Cornell University Library Historical Mathematics Monographs collection.

http://rapidshare.com/files/34791150...1897.djvu.html (http://rapidshare.com/files/34791150/James_M._Page._Ordinary_Differential_Equations._18 97.djvu.html) Ordinary differential equations: with an introduction to Lie's theory of the group of one parameter.

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11-10-2008, 03:50 PM

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A Concise Course on Stochastic Partial Differential Equations (Lecture Notes in Mathematics)

By Claudia Prévôt, Michael Röckner,

* Publisher: Springer

* Number Of Pages: 148

* Publication Date: 2007-07

* ISBN / ASIN: 3540707808

Book Description:

These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. All kinds of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations. To keep the technicalities minimal we confine ourselves to the case where the noise term is given by a stochastic integral w.r.t. a cylindrical Wiener process.But all results can be easily generalized to SPDE with more general noises such as, for instance, stochastic integral w.r.t. a continuous local martingale.

There are basically three approaches to analyze SPDE: the "martingale measure approach", the "mild solution approach” and the "variational approach". The purpose of these notes is to give a concise and as self-contained as possible an introduction to the "variational approach”. A large part of necessary background material, such as definitions and results from the theory of Hilbert spaces, are included in appendices.

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A Concise Course on Stochastic Partial Differential Equations (Lecture Notes in Mathematics)

By Claudia Prévôt, Michael Röckner,

* Publisher: Springer

* Number Of Pages: 148

* Publication Date: 2007-07

* ISBN / ASIN: 3540707808

Book Description:

These lectures concentrate on (nonlinear) stochastic partial differential equations (SPDE) of evolutionary type. All kinds of dynamics with stochastic influence in nature or man-made complex systems can be modelled by such equations. To keep the technicalities minimal we confine ourselves to the case where the noise term is given by a stochastic integral w.r.t. a cylindrical Wiener process.But all results can be easily generalized to SPDE with more general noises such as, for instance, stochastic integral w.r.t. a continuous local martingale.

There are basically three approaches to analyze SPDE: the "martingale measure approach", the "mild solution approach” and the "variational approach". The purpose of these notes is to give a concise and as self-contained as possible an introduction to the "variational approach”. A large part of necessary background material, such as definitions and results from the theory of Hilbert spaces, are included in appendices.

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إقليدس

11-10-2008, 03:51 PM

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By Peter A. Markowich

* Publisher: Springer

* Number Of Pages: 206

* Publication Date: 2006-12-28

* ISBN / ASIN: 3540346457

Applied Partial Differential Equations:: A Visual Approach

Book Description:

This book presents selected topics in science and engineering from an applied-mathematics point of view. The described natural, socioeconomic, and engineering phenomena are modeled by partial differential equations that relate state variables such as mass, velocity, and energy to their spatial and temporal variations. Typically, these equations are highly nonlinear; in many cases they are systems, and they represent challenges even for the most modern and sophisticated mathematical and numerical-analytic techniques. The selected topics reflect the longtime scientific interests of the author. They include flows of fluids and gases, granular-material flows, biological processes such as pattern formation on animal skins, kinetics of rarified gases, free boundaries, semiconductor devices, and socioeconomic processes. Each topic is briefly introduced in its scientific or engineering context, followed by a presentation of the mathematical models in the form of partial differential equations with a discussion of their basic mathematical properties. The author illustrates each chapter by a series of his own high-quality photographs, which demonstrate that partial differential equations are powerful tools for modeling a large variety of phenomena influencing our daily lives

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By Peter A. Markowich

* Publisher: Springer

* Number Of Pages: 206

* Publication Date: 2006-12-28

* ISBN / ASIN: 3540346457

Applied Partial Differential Equations:: A Visual Approach

Book Description:

This book presents selected topics in science and engineering from an applied-mathematics point of view. The described natural, socioeconomic, and engineering phenomena are modeled by partial differential equations that relate state variables such as mass, velocity, and energy to their spatial and temporal variations. Typically, these equations are highly nonlinear; in many cases they are systems, and they represent challenges even for the most modern and sophisticated mathematical and numerical-analytic techniques. The selected topics reflect the longtime scientific interests of the author. They include flows of fluids and gases, granular-material flows, biological processes such as pattern formation on animal skins, kinetics of rarified gases, free boundaries, semiconductor devices, and socioeconomic processes. Each topic is briefly introduced in its scientific or engineering context, followed by a presentation of the mathematical models in the form of partial differential equations with a discussion of their basic mathematical properties. The author illustrates each chapter by a series of his own high-quality photographs, which demonstrate that partial differential equations are powerful tools for modeling a large variety of phenomena influencing our daily lives

16800 KB

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11-10-2008, 03:51 PM

Advanced Ordinary Differential Equations

Advanced Ordinary Differential Equations (Mathematics and Its Applications)

By K. Friedrichs

* Publisher: Routledge

* Number Of Pages: 216

* Publication Date: 1965-01-01

* ISBN / ASIN: 0677009607

$241.00

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Advanced Ordinary Differential Equations (Mathematics and Its Applications)

By K. Friedrichs

* Publisher: Routledge

* Number Of Pages: 216

* Publication Date: 1965-01-01

* ISBN / ASIN: 0677009607

$241.00

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11-10-2008, 03:52 PM

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* Publisher: Elsevier Science

* Number Of Pages: 394

* Publication Date: 2000-06-01

* ISBN / ASIN: 0444502971

$133.00

Book Description:

The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.

The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems.

The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus also gives classical results obtained earlier intuitively and is an alternative to Algebraic Geometry, Differential Algebra, Lie group Analysis and Nonstandard Analysis

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http://www.mediafire.com/?9mxjz0mzgyz Power Geometry in Algebraic and Differential Equations (North-Holland Mathematical Library)

* Publisher: Elsevier Science

* Number Of Pages: 394

* Publication Date: 2000-06-01

* ISBN / ASIN: 0444502971

$133.00

Book Description:

The geometry of power exponents includes the Newton polyhedron, normal cones of its faces, power and logarithmic transformations. On the basis of the geometry universal algorithms for simplifications of systems of nonlinear equations (algebraic, ordinary differential and partial differential) were developed.

The algorithms form a new calculus which allows to make local and asymptotical analysis of solutions to those systems.

The efficiency of the calculus is demonstrated with regard to several complicated problems from Robotics, Celestial Mechanics, Hydrodynamics and Thermodynamics. The calculus also gives classical results obtained earlier intuitively and is an alternative to Algebraic Geometry, Differential Algebra, Lie group Analysis and Nonstandard Analysis

rar'd pdf, 14.4 MB

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11-10-2008, 03:54 PM

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By

* Publisher: North Holland

* Number Of Pages: 624

* Publication Date: 2005-09-13

* ISBN / ASIN: 0444520457

Buy New $190.00

A collection of self contained, state-of-the-art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.

Partial differential equations represent one of the most rapidly developing topics in mathematics. This is due to their numerous applications in science and engineering on the one hand and to the challenge and beauty of associated mathematical problems on the other.

Key features: Handbook of Differential Equations:Stationary Partial Differential Equations, Volume 2 (Handbook of Differential Equations)

- Self-contained volume in series covering one of the most rapid developing topics in mathematics.

- 7 Chapters, enriched with numerous figures originating from numerical simulations.

- Written by well known experts in the field.

- Self-contained volume in series covering one of the most rapid developing topics in mathematics.

- 7 Chapters, enriched with numerous figures originating from numerical simulations.

- Written by well known experts in the field

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By

* Publisher: North Holland

* Number Of Pages: 624

* Publication Date: 2005-09-13

* ISBN / ASIN: 0444520457

Buy New $190.00

A collection of self contained, state-of-the-art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.

Partial differential equations represent one of the most rapidly developing topics in mathematics. This is due to their numerous applications in science and engineering on the one hand and to the challenge and beauty of associated mathematical problems on the other.

Key features: Handbook of Differential Equations:Stationary Partial Differential Equations, Volume 2 (Handbook of Differential Equations)

- Self-contained volume in series covering one of the most rapid developing topics in mathematics.

- 7 Chapters, enriched with numerous figures originating from numerical simulations.

- Written by well known experts in the field.

- Self-contained volume in series covering one of the most rapid developing topics in mathematics.

- 7 Chapters, enriched with numerous figures originating from numerical simulations.

- Written by well known experts in the field

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11-10-2008, 03:54 PM

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By

* Publisher: North Holland

* Number Of Pages: 584

* Publication Date: 2005-10-20

* ISBN / ASIN: 0444520279

Buy New $190.00

Handbook of Differential Equations: Ordinary Differential Equations, Volume 2 (Handbook of Differential Equations) This handbook is the second volume in a series devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, written

by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields, in order to make the chapters of the volume accessible to a wide audience.

. Six chapters covering a variety of problems in ordinary differential equations.

. Both, pure mathematical research and real word applications are reflected

. Written by leading researchers in the area.

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By

* Publisher: North Holland

* Number Of Pages: 584

* Publication Date: 2005-10-20

* ISBN / ASIN: 0444520279

Buy New $190.00

Handbook of Differential Equations: Ordinary Differential Equations, Volume 2 (Handbook of Differential Equations) This handbook is the second volume in a series devoted to self contained and up-to-date surveys in the theory of ordinary differential equations, written

by leading researchers in the area. All contributors have made an additional effort to achieve readability for mathematicians and scientists from other related fields, in order to make the chapters of the volume accessible to a wide audience.

. Six chapters covering a variety of problems in ordinary differential equations.

. Both, pure mathematical research and real word applications are reflected

. Written by leading researchers in the area.

RAR'd PDF, 2983 KB

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إقليدس

11-10-2008, 03:55 PM

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By Tyn Myint-U, Lokenath Debnath,

* Publisher: Birkhäuser Boston

* Number Of Pages: 778

* Publication Date: 2006-12-15

* ISBN / ASIN: 0817643931

Buy New $79.60

Linear Partial Differential Equations for Scientists and Engineers One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics.

This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinear partial differential equations with applications.

Key features include:

* Applications to a wide variety of physical problems in numerous interdisciplinary areas

* Over 900 worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry

* Historical comments on partial differential equations

* Solutions and hints to selected exercises

* A comprehensive bibliographycomprised of many standard texts and reference books, as well as a set of selected classic and recent papersfor readers interested in learning more about the modern treatment of the subject

Linear Partial Differential Equations for Scientists and Engineers, Fourth Edition will primarily serve as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics. The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering. Readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields.

Also by L. Debnath: Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition, ISBN 0-8176-4323-0.

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By Tyn Myint-U, Lokenath Debnath,

* Publisher: Birkhäuser Boston

* Number Of Pages: 778

* Publication Date: 2006-12-15

* ISBN / ASIN: 0817643931

Buy New $79.60

Linear Partial Differential Equations for Scientists and Engineers One of the most fundamental and active areas in mathematics, the theory of partial differential equations (PDEs) is essential in the modeling of natural phenomena. PDEs have a wide range of interesting and important applications in every branch of applied mathematics, physics, and engineering, including fluid dynamics, elasticity, and optics.

This significantly expanded fourth edition is designed as an introduction to the theory and applications of linear PDEs. The authors provide fundamental concepts, underlying principles, a wide range of applications, and various methods of solutions to PDEs. In addition to essential standard material on the subject, the book contains new material that is not usually covered in similar texts and reference books, including conservation laws, the spherical wave equation, the cylindrical wave equation, higher-dimensional boundary-value problems, the finite element method, fractional partial differential equations, and nonlinear partial differential equations with applications.

Key features include:

* Applications to a wide variety of physical problems in numerous interdisciplinary areas

* Over 900 worked examples and exercises dealing with problems in fluid mechanics, gas dynamics, optics, plasma physics, elasticity, biology, and chemistry

* Historical comments on partial differential equations

* Solutions and hints to selected exercises

* A comprehensive bibliographycomprised of many standard texts and reference books, as well as a set of selected classic and recent papersfor readers interested in learning more about the modern treatment of the subject

Linear Partial Differential Equations for Scientists and Engineers, Fourth Edition will primarily serve as a textbook for the first two courses in PDEs, or in a course on advanced engineering mathematics. The book may also be used as a reference for graduate students, researchers, and professionals in modern applied mathematics, mathematical physics, and engineering. Readers will gain a solid mathematical background in PDEs, sufficient to start interdisciplinary collaborative research in a variety of fields.

Also by L. Debnath: Nonlinear Partial Differential Equations for Scientists and Engineers, Second Edition, ISBN 0-8176-4323-0.

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إقليدس

11-10-2008, 03:56 PM

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Control of Coupled Partial Differential Equations

(International Series of Numerical Mathematics)

By

* Publisher: Birkhäuser Basel

* Number Of Pages: 382

* Publication Date: 2007-05-21

* ISBN / ASIN: 3764377208

Buy New $129.00

This volume contains selected contributions originating from the Conference on Optimal Control of Coupled Systems of Partial Differential Equations, held at the Mathematisches Forschungsinstitut Oberwolfach in April 2005.

With their articles, leading scientists cover a broad range of topics such as controllability, feedback-control, optimality systems, model-reduction techniques, analysis and optimal control of flow problems, and fluid-structure interactions, as well as problems of shape and topology optimization. Applications affected by these findings are distributed over all time and length scales starting with optimization and control of quantum mechanical systems, the design of piezoelectric acoustic micro-mechanical devices, or optimal control of crystal growth to the control of bodies immersed into a fluid, airfoil design, and much more.

The book addresses advanced students and researchers in optimization and control of infinite dimensional systems, typically represented by partial differential equations. Readers interested either in theory or in numerical simulation of such systems will find this book equally appealing

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Control of Coupled Partial Differential Equations

(International Series of Numerical Mathematics)

By

* Publisher: Birkhäuser Basel

* Number Of Pages: 382

* Publication Date: 2007-05-21

* ISBN / ASIN: 3764377208

Buy New $129.00

This volume contains selected contributions originating from the Conference on Optimal Control of Coupled Systems of Partial Differential Equations, held at the Mathematisches Forschungsinstitut Oberwolfach in April 2005.

With their articles, leading scientists cover a broad range of topics such as controllability, feedback-control, optimality systems, model-reduction techniques, analysis and optimal control of flow problems, and fluid-structure interactions, as well as problems of shape and topology optimization. Applications affected by these findings are distributed over all time and length scales starting with optimization and control of quantum mechanical systems, the design of piezoelectric acoustic micro-mechanical devices, or optimal control of crystal growth to the control of bodies immersed into a fluid, airfoil design, and much more.

The book addresses advanced students and researchers in optimization and control of infinite dimensional systems, typically represented by partial differential equations. Readers interested either in theory or in numerical simulation of such systems will find this book equally appealing

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إقليدس

11-10-2008, 03:56 PM

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By Nakhle H. Asmar

* Publisher: Prentice Hall

* Number Of Pages: 816

* Publication Date: 2004-05-24

* ISBN-10 / ASIN: 0131480960

* ISBN-13 / EAN: 9780131480964

Partial Differential Equations and Boundary Value Problems with Fourier Series (2nd Edition) Book Description:

This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to topics beyond calculus. Encourages computer for illustrating results and applications, but is also suitable for use without computer access. Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition. Offers a large number of exercises per section. Provides marginal comments and remarks throughout with insightful remarks, keys to following the material, and formulas recalled for the reader's convenience. Offers Mathematica files available for download from the author's website. A useful reference for engineers or anyone who needs to brush up on partial differential equations

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By Nakhle H. Asmar

* Publisher: Prentice Hall

* Number Of Pages: 816

* Publication Date: 2004-05-24

* ISBN-10 / ASIN: 0131480960

* ISBN-13 / EAN: 9780131480964

Partial Differential Equations and Boundary Value Problems with Fourier Series (2nd Edition) Book Description:

This example-rich reference fosters a smooth transition from elementary ordinary differential equations to more advanced concepts. Asmar's relaxed style and emphasis on applications make the material accessible even to readers with limited exposure to topics beyond calculus. Encourages computer for illustrating results and applications, but is also suitable for use without computer access. Contains more engineering and physics applications, and more mathematical proofs and theory of partial differential equations, than the first edition. Offers a large number of exercises per section. Provides marginal comments and remarks throughout with insightful remarks, keys to following the material, and formulas recalled for the reader's convenience. Offers Mathematica files available for download from the author's website. A useful reference for engineers or anyone who needs to brush up on partial differential equations

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11-10-2008, 03:58 PM

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A Treatise on Differential Equations

By George Boole

* Publisher: Adamant Media Corporation

* Number Of Pages: 573

* Publication Date: 2000-12-21

* ISBN-10 / ASIN: 140218364X

* ISBN-13 / EAN: 9781402183645

Product Description:

This Elibron Classics book is a facsimile reprint of a 1877 edition by Macmillan and Co., London

This is a Masterpiece on the theory of differential equations, This book was forgotton by many people who read newer books on differential equations, but hold on --- this book contains the finest of the expositions of differential equations and can be regarded as an encyclopedia of Theory, Problems and applications of differential equations

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A Treatise on Differential Equations

By George Boole

* Publisher: Adamant Media Corporation

* Number Of Pages: 573

* Publication Date: 2000-12-21

* ISBN-10 / ASIN: 140218364X

* ISBN-13 / EAN: 9781402183645

Product Description:

This Elibron Classics book is a facsimile reprint of a 1877 edition by Macmillan and Co., London

This is a Masterpiece on the theory of differential equations, This book was forgotton by many people who read newer books on differential equations, but hold on --- this book contains the finest of the expositions of differential equations and can be regarded as an encyclopedia of Theory, Problems and applications of differential equations

Djvu | 26,2 Mb

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إقليدس

11-10-2008, 03:58 PM

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By John W. Dettman

* Publisher: Dover Publications

* Number Of Pages: 416

* Publication Date: 1986-12-01

* ISBN-10 / ASIN: 0486651916

* ISBN-13 / EAN: 9780486651910

Book Description:

Excellent introductory text for students with 1 year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

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By John W. Dettman

* Publisher: Dover Publications

* Number Of Pages: 416

* Publication Date: 1986-12-01

* ISBN-10 / ASIN: 0486651916

* ISBN-13 / EAN: 9780486651910

Book Description:

Excellent introductory text for students with 1 year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.

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11-10-2008, 03:59 PM

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Brooks Cole | 2005-09-19 | ISBN: 0495012653 | 848 pages | Djvu | 12 MB

Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.

http://depositfiles.com/files/8546262

http://www.filefactory.com/file/ab439c/n/DifEquat_rar Paul Blanchard, Robert L. Devaney, Glen R. Hall “Differential Equations, 3rd Edition"

Brooks Cole | 2005-09-19 | ISBN: 0495012653 | 848 pages | Djvu | 12 MB

Incorporating a modeling approach throughout, this exciting text emphasizes concepts and shows that the study of differential equations is a beautiful application of the ideas and techniques of calculus to everyday life. By taking advantage of readily available technology, the authors eliminate most of the specialized techniques for deriving formulas for solutions found in traditional texts and replace them with topics that focus on the formulation of differential equations and the interpretations of their solutions. Students will generally attack a given equation from three different points of view to obtain an understanding of the solutions: qualitative, numeric, and analytic. Since many of the most important differential equations are nonlinear, students learn that numerical and qualitative techniques are more effective than analytic techniques in this setting. Overall, students discover how to identify and work effectively with the mathematics in everyday life, and they learn how to express the fundamental principles that govern many phenomena in the language of differential equations.

http://depositfiles.com/files/8546262

http://www.filefactory.com/file/ab439c/n/DifEquat_rar Paul Blanchard, Robert L. Devaney, Glen R. Hall “Differential Equations, 3rd Edition"

إقليدس

11-10-2008, 04:00 PM

http://ecx.images-amazon.com/images/I/51GfEmE7APL.jpg

By Michael Griebel, Marc Alexander Schweitzer

Meshfree Methods for Partial Differential Equations IV (Lecture Notes in Computational Science and Engineering)

Publisher: Springer

Number Of Pages: 412

Publication Date: 2008-11-01

ISBN-10 / ASIN: 3540799931

ISBN-13 / EAN: 9783540799931

Product Description:

The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this very active and exciting area of interdisciplinary research and to present recent advances and results in this field

Size: 23 MB

http://www.filefactory.com/file/7e6761/n/3540799931_rar

By Michael Griebel, Marc Alexander Schweitzer

Meshfree Methods for Partial Differential Equations IV (Lecture Notes in Computational Science and Engineering)

Publisher: Springer

Number Of Pages: 412

Publication Date: 2008-11-01

ISBN-10 / ASIN: 3540799931

ISBN-13 / EAN: 9783540799931

Product Description:

The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a very active research field both in the mathematics and engineering community. Due to their independence of a mesh, particle schemes and meshfree methods can deal with large geometric changes of the domain more easily than classical discretization techniques. Furthermore, meshfree methods offer a promising approach for the coupling of particle models to continuous models. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn. The articles address the different meshfree methods (SPH, PUM, GFEM, EFGM, RKPM, etc.) and their application in applied mathematics, physics and engineering. The volume is intended to foster this very active and exciting area of interdisciplinary research and to present recent advances and results in this field

Size: 23 MB

http://www.filefactory.com/file/7e6761/n/3540799931_rar

إقليدس

11-10-2008, 04:04 PM

بث خلصنا :36_1_14:

ملاحظه: اذا ما ولّعش الرابط الاول جرب التاني، ماشي :)؟؟؟

تشققونهم بالعافيه:36_1_24:

سلااااام

^

:36_1_22:

ملاحظه: اذا ما ولّعش الرابط الاول جرب التاني، ماشي :)؟؟؟

تشققونهم بالعافيه:36_1_24:

سلااااام

^

:36_1_22:

hood

11-16-2008, 07:40 PM

ماشي ماشي يا باشا

يا شيخ هداياك سمينة حيل :)

الله ينور لك ويبارك بعمرك ووقتك

نورت الدار أستاذ

يا شيخ هداياك سمينة حيل :)

الله ينور لك ويبارك بعمرك ووقتك

نورت الدار أستاذ

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