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رد: مجموعة جميلة من كتب مسائل في الرياضيات




PROBLEMS IN PLANE AND SOLID GEOMETRY v.1 Plane Geometry
by Viktor Prasolov
translated and edited by Dimitry Leites





or




× × ×


رابط اخر لكتاب


Problems in Mathematical Analysis 1: Real Numbers, Sequences and Series
By W. J. Kaczor, M. T. Nowak





× × × ×


Selected Problems in Real Analysis (Translations of Mathematical Monographs)
by B. M. Makarov, M. G. Goluzina, A. A. Lodkin, A. N. Podkorytov





× × × ×

Solved Problems in Analysis
As Applied to Gamma, Beta
Legendre, & Bessel Functions

by Orin J. Farrell, Bertram Ross



× × × ×



by V.I. Arnold



Publisher: Springer
Number Of Pages: 620
Publication Date: 2005-01-12
Sales Rank: 978055
ISBN / ASIN: 3540207481
EAN: 9783540207481
Binding: Paperback
Manufacturer: Springer
Studio: Springer
Average Rating: 5
Total Reviews: 1



Book Description:
Arnold's Problems contains mathematical problems brought up by Vladimir Arnold in his famous seminar at Moscow State University over several decades. In addition, there are problems published in his numerous papers and books.





password: gigapedia.org


× × × ×


Fifty Challenging Problems in Probability with Solutions

By Frederick Mosteller



Publisher: Dover Publications
Number Of Pages: 88
Publication Date: 1987-05-01
ISBN-10 / ASIN: 0486653552
ISBN-13 / EAN: 9780486653556
Binding: Paperback


Book Description:
Remarkable selection of puzzlers, graded in difficulty, that illustrate both elementary and advanced aspects of probability. Selected for originality, general interest or because they demonstrate valuable techniques, the problems are ideal as a supplement to courses in probability or statistics, or as stimulating recreation for the mathematically minded. Detailed solutions. Illustrated





× × × ×



Challenging Mathematical Problems With Elementary Solutions, Vol. 1

By A. M. Yaglom, I. M. Yaglom



Publisher: Dover Publications
Number Of Pages: 239
Publication Date: 1987-12-01
ISBN-10 / ASIN: 0486655369
ISBN-13 / EAN: 9780486655369
Binding: Paperback


Book Description:
Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 1 contains 100 problems on probability theory and combinatorial analysis







Challenging Mathematical Problems
With Elementary Solutions
(Volume 2)

By A. M. Yaglom, I. M. Yaglom


Publisher: Dover Publications
Number Of Pages: 223
Publication Date: 1987-12-01
ISBN-10 / ASIN: 0486655377
ISBN-13 / EAN: 9780486655376
Binding: Paperback

Book Description:
Over 170 challenging problems ranging from the relatively simple to the extremely difficult. Volume 2 contains 74 problems on points and lines, topology, convex polygons, nondecimal counting and other topics. Includes solutions



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رد: مجموعة جميلة من كتب مسائل في الرياضيات






Mathematical Olympiads, 2000-2001
Problems and Solutions from Around the World
(MAA Problem Book Series)
by Titu Andreescu, Zuming Feng ,Jr. George Lee
(Editors)




Publisher: The Mathematical Association of America
Number Of Pages: 292
Publication Date: 2003-10
Sales Rank: 633290
ISBN / ASIN: 088385810X
EAN: 9780883858103
Binding: Paperback
Manufacturer: The Mathematical Association of America
Studio: The Mathematical Association of America
Average Rating: 5
Total Reviews: 1


Book Description:
This book is a continuation of Mathematical Olympiads 1999–2000: Problems and Solutions From Around the World, published by the Mathematical Association of America. It contains solutions to the problems from 27 national and regional contests featured in the earlier book, together with selected problems (without solutions) from national and regional contests given during 2001. In many cases multiple solutions are provided in order to encourage students to compare different problem-solving strategies. The editors have tried to present a wide variety of problems, especially from those countries that have often done well at the IMO. The problems themselves should provide much enjoyment for all those fascinated by solving challenging mathematics questions



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Sequences of numbers involved in unsolved problems
by Florentin Smarandache



Publisher: Hexis
Number Of Pages: 139
Publication Date: 2006-06-15
Sales Rank:
ISBN / ASIN: 1599730065
EAN: 9781599730066
Binding: Paperback
Manufacturer: Hexis
Studio: Hexis
Average Rating: 0
Total Reviews: 0


Product Description:


Over 300 sequences and many unsolved problems and conjectures related to them are presented herein. The book contains definitions, unsolved problems, questions, theorems corollaries, formulae, conjectures, examples, mathematical criteria, etc. ( on integer sequences, numbers, quotients, residues, exponents, sieves, pseudo-primes/squares/cubes/factorials, almost primes, functions, tables, prime/square/factorial bases, generalized factorials, generalized palindromes, etc



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Unsolved Problems in Mathematical Systems
and Control Theory

by Vincent D. Blondel

Publisher: Princeton University Press
Number Of Pages: 360
Publication Date: 2004-07-06
Sales Rank: 1595141
ISBN / ASIN: 0691117489
EAN: 9780691117485
Binding: Hardcover
Manufacturer: Princeton University Press
Studio: Princeton University Press
Average Rating: 0
Total Reviews: 0


Book Description

This book provides clear presentations of more than sixty important unsolved problems in mathematical systems and control theory. Each of the problems included here is proposed by a leading expert and set forth in an accessible manner. Covering a wide range of areas, the book will be an ideal reference for anyone interested in the latest developments in the field, including specialists in applied mathematics, engineering, and computer science
The book consists of ten parts representing various problem areas, and each chapter sets forth a different problem presented by a researcher in the particular area and in the same way: description of the problem, motivation and history, available results, and bibliography. It aims not only to encourage work on the included problems but also to suggest new ones and generate fresh research. The reader will be able to submit solutions for possible inclusion on an online version of the book to be updated quarterly on the Princeton University Press website, and thus also be able to access solutions, updated information, and partial solutions as they are developed.


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From Erdös to Kiev
Problems of Olympiad Caliber
(Dolciani Mathematical Expositions)


by Ross Honsberger



Publisher: The Mathematical Association of America
Number Of Pages: 267
Publication Date: 1997-02-27
ISBN-10 / ASIN: 0883853248
ISBN-13 / EAN: 9780883853245
Binding: Paperback


Book Description:


Ross Honsberger's love of mathematics comes through very clearly in From Erdös to Kiev. He presents intriguing, stimulating problems that can be solved with elementary mathematical techniques. It will give pleasure to motivated students and their teachers, but it will also appeal to anyone who enjoys a mathematical challenge. Most of the problems in the collection have appeared on national or international Olympiads or other contests. Thus, they are quite challenging (with solutions that are all the more rewarding). The solutions use straightforward arguments from elementary mathematics (often not very technical arguments) with only the occasional foray into sophisticated or advanced ideas. Anyone familiar with elementary mathematics can appreciate a large part of the book. The problems included in this collection are taken from geometry, number theory, probability, and combinatorics. Solutions to the problems are included






Mathematical Thinking: Problem-Solving and Proofs
(2nd Edition)


By John P. D'Angelo, Douglas B. West



Publisher: Prentice Hall


Number Of Pages: 412


Publication Date: 1999-12-27



ISBN-10 / ASIN: 0130144126


ISBN-13 / EAN: 9780130144126


Binding: Hardcover





Book Description:

This survey of both discrete and continuous mathematics focuses on the logical thinking skills necessary to understand and communicate fundamental ideas and proofs in mathematics, rather than on rote symbolic manipulation. Coverage begins with the fundamentals of mathematical language and proof techniques (such as induction); then applies them to easily-understood questions in elementary number theory and counting; then develops additional techniques of proofs via fundamental topics in discrete and continuous mathematics. Topics are addressed in the context of familiar objects; easily-understood, engaging examples; and over 700 stimulating exercises and problems, ranging from simple applications to subtle problems requiring ingenuity. ELEMENTARY CONCEPTS. Numbers, Sets and Functions. Language and Proofs. Properties of Functions. Induction. PROPERTIES OF NUMBERS. Counting and Cardinality. Divisibility. Modular Arithmetic. The Rational Numbers. DISCRETE MATHEMATICS. Combinatorial Reasoning. Two Principles of Counting. Graph Theory. Recurrence Relations. CONTINUOUS MATHEMATICS. The Real Numbers. Sequences and Series. Continuity. Differentiation. Integration. The Complex Numbers. For anyone interested in learning how to understand and write mathematical proofs, or a reference for college professors and high school teachers of mathematics




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lectures and exercises on
functional analysis


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Ochan - Collection of Problems on Functional Analysis

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Problems in Mathematical Analysis

by B. DEMIDOVICH


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Problems in Geometry

V. V. Prasolov

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Challenging Problems In Algebra

by Posamentier Salkin

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Title: Mathematical Mountaintops
The Five Most Famous Problems of All Time



Author: John L. Casti



Book Description
Casti has done it again--he's brought five epic math problems and their solutions to vivid life. Even math-phobes will thrill to the search for answers to the Four-Color Map Problem, Fermat's Last Theorem, the Continuum Hypothesis, Kepler's Conjecture, and Hilbert's Tenth Problem. Math students and pros alike will get insight into their heroes and inspiration for further work.
TypejVu
Size:1.6 MB




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Title: A COLLECTION OF MATHEMATICAL PROBLEMS
Author: Stanislaw M Ulam

Publisher: John Wiley
Number Of Pages: 150
Publication Date: 1964



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قديم 09-05-2009, 06:52 AM   رقم المشاركة : 13
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رد: مجموعة جميلة من كتب مسائل في الرياضيات






Berkeley Problems in Mathematics
By Paulo N. de Souza, Jorge-Nuno Silva, Paulo Ney de Souza


Publisher: Springer
Number Of Pages: 616
Publication Date: 2004-01-20
ISBN-10 / ASIN: 0387008926
ISBN-13 / EAN: 9780387008929
Binding: Paperback


Book Description:


This book is a compilation of approximately nine hundred problems, which have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph.D. program. Students who work through this book will develop problem solving skills in areas such as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. The problems are organized by subject and ordered in an increasing level of difficulty. This new edition contains approximately 120 new problems and 200 new solutions. It is an ideal means for students to strengthen their foundation in basic mathematics and to prepare for graduate studies


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By Ji-Xiu Chen, Jiang Guo-Ying, Pan Yang-Lian, Qin Tie-Hu, Tong Yu-Sun, Wu Quan-Shui, Xu Shen-Zhi, Ta-Chien Li,
Publisher: World Scientific Publishing Company
Number Of Pages: 539
Publication Date: 1999-06
Sales Rank: 783961
ISBN / ASIN: 9810234805
EAN: 9789810234805
Binding: Paperback
Manufacturer: World Scientific Publishing Company
Studio: World Scientific Publishing Company
Average Rating: 5
Total Reviews: 2



Publisher: LearningExpress
Number Of Pages: 271
Publication Date: 2002-08-09
Sales Rank: 392050
ISBN / ASIN: 1576854248
EAN: 9781576854242
Binding: Paperback
Manufacturer: LearningExpress
Studio: LearningExpress
Average Rating: 1.5
Total Reviews: 3


Book Description:
Key aptitude tests, such as the SAT and GRE, include an algebra section within the math portion of the exam. In lieu of this, college-bound students must master algebra to get into their school of choice. 501 Algebra Questions provides the questions to help master these tests. These algebra questions familiarize readers with algebraic expressions and integers, how to multiply and factor polynomials, and how to use quadratic formulas and sound reasoning skills to solve these problems. In addition, 501 Algebra Questions teaches math-phobics, or those just needing math practice, how to build analytical skills.


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College Algebra Solved!™ 2007
by Bagatrix

If you're looking for help in college algebra, you've come to the right

place. College Algebra Solved!™ solves your most difficult college

algebra problems, providing the answers you want with all of the step-

by-step work and explanations you need. With additional powerful

features including infinite example problems, practice tests, progress

tracking, and a math document desiger College Algebra Solved!™ is the

complete all-in-one college algebra solution you've been looking for.



Exclusive College Algebra Software Solver
Using Bagatrix Problem Solved!™ Technology, an advanced mathematical

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YOUR college algebra problems and provides the answers with step-by-

step work.




Covers All College Algebra Topoics:

Addition/Elimination Method
Arithmetic of Functions
Arithmetic Operations
Arithmetic Sequences
Calculating Slope and Y Intercept
Combining Like Terms
Completing the Square
Complex Operations
Composite Functions
Determining Odd and Even Functions
Determining Parallel Lines
Determining Perpendicular Lines
Difference of Cubes
Difference of Squares
Distance Formula
Distributive Property
Domain of Rational Expressions
Evaluating Expressions
Evaluating Function
Expanding Logarithmic Expressions
Expanding Series Notation
Exponential Equations
Exponential Expressions
Factoring by Grouping
Factoring Out Greatest Common Factor (GCF)
Factoring Trinomials
Factoring Using Any Method
Find the Midpoint of the Line Segment
Finding a Point's Quadrant
Finding Equations Using the Point-Slope Formula
Finding Equations Using Two Points
Finding the nTh Term
Finding the Sum of First n Terms
Geometric Sequences
Identifying Circles

Identifying Degree of Polynomial
Identifying Ellipses
Identifying Hyperbolas
Identifying Parabolas
Interval Inequalities
Logarithmic Equations
Matrix Addition
Matrix Multiplication
Matrix Multiplication by a Scalar
Matrix Subtraction
Maximum/Minimum of Quadratic Functions
Multiplying Polynomials Using FOIL
Negative Exponents
Operations on Polynomials
Operations on Rational Expressions
Polynomial Division
Quadratic Formula
Quadratic Inequalities
Rational Inequalities
Rationalizing Radical Expressions
Rationalizing with Complex Conjugates
Roots of Functions
Simple Exponents
Simplifying Absolute Value Expressions
Simplifying Expressions
Simplifying Functions
Simplifying Logarithmic Expressions
Simplifying Radical Expressions
Simplifying Rational Expressions by Factoring
Solve by Graphing Method
Solving Equations by Factoring
Solving Equations with Absolute Values
Solving Linear Equations
Solving Linear Inequalities
Solving Radical Equations
Solving Rational Equations
Substitution Method
Sum of Cubes
Synthetic Division
Trinomial Squares

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قديم 09-05-2009, 06:54 AM   رقم المشاركة : 14
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رد: مجموعة جميلة من كتب مسائل في الرياضيات






Dusan Djukic, Vladimir Z. Jankovic, Ivan Matic, Nikola Petrovic
"The IMO Compendium: A Collection of Problems Suggested for The International
Mathematical Olympiads: 1959-2004"
Springer | 2006-02-23 | ISBN: 0387242996 | 746 pages | PDF | 5,3 MB

The International Mathematical Olympiad (IMO) has within its almost 50-year-old history become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world.
The IMO has sparked off a burst of creativity among enthusiasts in creating new and interesting mathematics problems. In an extremely stiff competition, only six problems are chosen each year to appear on the IMO. The total number of problems proposed for the IMOs up to this point is staggering and, as a whole, this collection of problems represents a valuable resource for all high school students preparing for the IMO.
Until now it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a two year long collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO, as well as the so-called "short-lists", a total of 864 problems. In addition, the book contains 1036 problems from various "long-lists" over the years, for a grand total of 1900 problems.
In short, "The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems. It will be an invaluable resource, not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates math.



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Solving Least Squares Problems
(Classics in Applied Mathematics)
By Charles L. Lawson, Richard J. Hanson



Publisher: Society for Industrial Mathematics
Number Of Pages: 350
Publication Date: 1987-01-01
ISBN-10 / ASIN: 0898713560
ISBN-13 / EAN: 9780898713565
Binding: Paperback



Product Description:
An accessible text for the study of numerical methods for solving least squares problems remains an essential part of a scientific software foundation. This book has served this purpose well. Numerical analysts, statisticians, and engineers have developed techniques and nomenclature for the least squares problems of their own discipline. This well-organized presentation of the basic material needed for the solution of least squares problems can unify this divergence of methods. Mathematicians, practicing engineers, and scientists will welcome its return to print. The material covered includes Householder and Givens orthogonal transformations, the QR and SVD decompositions, equality constraints, solutions in nonnegative variables, banded problems, and updating methods for sequential estimation. Both the theory and practical algorithms are included. The easily understood explanations and the appendix providing a review of basic linear algebra make the book accessible for the non-specialist.



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The Problems of Mathematics 2ND Edition
By Ian Stewart



Publisher: Oxford University Press, USA
Number Of Pages: 368
Publication Date: 1992-10-01
ISBN-10 / ASIN: B000OK8F7G, 0192861484, 0192192620
ISBN-13 / EAN: 9780192861481, 9780192192622


Product Description:

Greeted with terrific reviews, the first edition of this book proved to be widely popular as both a teaching aid and an entertaining introduction to modern mathematics. It succeeded in opening the door for general readers to the power and beauty of a field often thought of as remote and lifeless. In fact, more mathematical research is being done today than ever before, while the field is evolving with unprecedented rapidity and excitement. For this second edition, Ian Stewart has fully revised the text to incorporate recent developments. There are many new illustrations, and three new chapters, including one on Kepler's sphere-packing problem, which has recently been solved, 380 years after it was first articulated. In addition, the book surveys many other areas of current research in nontechnical terms, describing what the key problems are, where they come from, how they get solved, and what can be done with the answers that are forthcoming. Readers will learn what mathematicians are like, and how their work has affected our society and history. Topics include such famous problems as Fermat's last theorem, the Riemann hypothesis, the Poincare conjecture, prime numbers, non-Euclidean geometry, the concept of infinity, probability, catastrophe theory, chaos, fractals, algorithms, and undecidable propositions. A final chapter discusses the relation between mathematics and its applications. Each topic is developed within a historical framework, and a number of recent breakthroughs are presented for the first time in a manner that general readers will find easy to understand. Ideal as supplementary reading in the classroom, The Problems of Mathematics will also be enjoyed by anyone interested in mathematics or who has sought to understand the fascinating work taking place in the field today.


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Open Problems in Analysis

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PROBLEMS IN PLANE AND SOLID GEOMETRY v.1 -Plane Geometry


by: Victor Prasolov, translated and edited by Dimitry Leites


http://ifile.it/edq0b8r/cac_bai_toan_hhp_prasolov.pdf

OR

http://www.mediafire.com/?5tq0jumxwny



Problems in Plane and Solid Geometry v.2 - Solid Geometry

by: V.Prasolov, I.Sharygin, translated and edited by Dimitry Leites

http://ifile.it/j5tzuyq

OR

http://www.megaupload.com/?d=XV6JGEFT



Problems and Solutions in Introductory and Advanced Matrix Calculus





World Scientific Publishing Co Pte Ltd | 2006 | ISBN: 9812702024 | 252 pages | Djvu | 2,4 MB

As an extensive collection of problems with detailed solutions in introductory and advanced matrix calculus, this self-contained book is ideal for both graduate and undergraduate mathematics students. The coverage includes systems of linear equations, linear differential equations, functions of matrices and the Kronecker product. Many of the problems are related to applications in areas such as group theory, Lie algebra theory and graph theory. Thus, physics and engineering students will also benefit from the book. Exercises for matrix-valued differential forms are also included.



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Problems in Real Analysis
Advanced Calculus on the Real Axis

By Teodora-Liliana Radulescu, Vincentiu D. Radulescu, Titu Andreescu



Publisher: Springer
Number Of Pages: 452
Publication Date: 2009-05-29
ISBN-10 / ASIN: 0387773789
ISBN-13 / EAN: 9780387773780


Product Description


Problems in Real Analysis: Advanced Calculus on the Real Axis features a comprehensive collection of challenging problems in mathematical analysis that aim to promote creative, non-standard techniques for solving problems. This self-contained text offers a host of new mathematical tools and strategies which develop a connection between analysis and other mathematical disciplines, such as physics and engineering. A broad view of mathematics is presented throughout; the text is excellent for the classroom or self-study. It is intended for undergraduate and graduate students in mathematics, as well as for researchers engaged in the interplay between applied analysis, mathematical physics, and numerical analysis


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Mathematical Olympiads: Problems and Solutions from Around the World, 1999-2000
(MAA Problem Book Series)

By Titu Andreescu, Zuming Feng



Publisher: The Mathematical Association of America
Number Of Pages: 280
Publication Date: 2002-04
ISBN-10 / ASIN: 0883858053
ISBN-13 / EAN: 9780883858059


Product Description:

Contained here are solutions to challenging problems from algebra, geometry, combinatorics and number theory featured in the earlier book, together with selected questions (without solutions) from national and regional Olympiads given during the year 2000. Intended for the serious student/problem solver, these books can help to improve performance in the Mathematical Olympiad competition. However, for those not entering the competition, there is much to challenge any mathematician, even those with advanced degrees. Different nations have different mathematical cultures, so you will find that some of the questions are extremely difficult and some rather easy. There are a wide variety of problems especially from those countries that have often done well in the IMO. Anyone interested in mathematical problem solving will encounter some beautiful mathematics in the pages of this book. If you are up to a real challenge, take some of these problems on!

http://www.4shared.com/file/57980671...1999-2000.html

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قديم 09-05-2009, 06:55 AM   رقم المشاركة : 15
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إقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالةإقليدس عضو مبدع لامحالة


 

رد: مجموعة جميلة من كتب مسائل في الرياضيات




انتهى بحمد الله ...






قديم 09-05-2009, 01:37 PM   رقم المشاركة : 16
sweet1000
المشرفة العامة على منتديات قياس
 
الصورة الرمزية sweet1000





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رد: مجموعة جميلة من كتب مسائل في الرياضيات




مكتبة قيمة من كتب الرياضيات ..
جهد كبير تشكر عليه .. بارك الله فيك ..






 

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