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بقلم الأستاذ ثامرالعيسى




[E. Lozansky, C. Rousseau : Winning Solutions, Springer-Verlag, New York, 1996.
R.L. Graham, D.E. Knuth, O. Patashnik : Concrete Mathematics, 2nd Edition, Addison-Wesley, 1989.
T. Andreescu, R. Gelca : Mathematical Olympiad Challenges, Birkhauser, Boston, 2000.
C.R. Pranesachar, S.A. Shailesh, B.J. Venkatachala, C.S. Yogananda : Mathematical Challenges from Olympiads, Interline Publishing Pvt. Ltd., Bangalore, 1995.
A.M. Yaglom, I.M. Yaglom : Challenging Mathematical Problems with Elementary Solutions, Dover Publications, 1987.
...sorted alphabetically...



Algebra, Analysis, and Inequalities
E.J. Barbeau : Polynomials , Springer-Verlag, 2003.
D.S. Mitrinovic , J. Pecaric, A.M Fink : Classical and New Inequalities in Analysis, Springer-Verlag, 1992.
N.D. Kazarinoff : Geometric Inequalities , MAA, 1975.
T. Andreescu, V. Cartoaje, G. Dospinescu, M. Lascu : Old and New Inequalities , GIL Publishing House, 2004.
M. Arsenovic, V. Dragovic : Functional Equations (in Serbian) , MS of Serbia, Belgrade, 1999.
G.H. Hardy, J.E. Littlewood, G. Polya : Inequalities, Cambridge University Press; 2nd edition, 1998.
T. Andreescu, D. Andrica : Complex Numbers from A to ... Z, Birkhauser, Boston, 2005.
P.S. Bullen, D.S. Mitrinovic , M. Vasic : Means and Their Inequalities, Springer-Verlag, 1989.
C.G. Small : Functional Equations and How to Solve Them, Springer, 2006
A.S. Posamentier, C.T. Salkind : Challenging Problems in Algebra, Dover Books in Mathematics, 1996.
D.S. Mitrinovic, J.E. Pecaric, V. Volenec : Recent Advances in Geometric Inequalities, Kluwer Academic Publishers, 1989.
Z. Kadelburg, D. Djukic, M. Lukic, I. Matic : Inequalities (in Serbian), MS of Serbia, Belgrade, 2003.
...sorted alphabetically...



Geometry and Trigonometry
I.M. Yaglom : Geometric Transformations, Vol. I, MAA, 1962
P.S. Modenov : Problems in Geometry, MIR, Moscow, 1981.
L. Hahn : Complex Numbers and Geometry, New York, 1960.
V.V. Prasolov, V.M. Tikhomirov : Geometry, American Mathematical Society, 2001.
I.M. Yaglom : Geometric Transformations, Vol. II, MAA, 1968.
I.M. Yaglom : Geometric Transformations, Vol. III, MAA, 1973.
H.S.M. Coxeter : Introduction to Geometry , John Willey and Sons, New York, 1969
H.S.M. Coxeter, S.L. Greitzer : Geometry Revisited , Random House, New York, 1967
I.F. Sharygin : Problems in Plane Geometry, Imported Pubn, 1988.
P.S. Modenov, A.S. Parhomenko : Geometric Transformations, Academic Press, New York, 1965.
A.S. Posamentier, C.T. Salkind : Challenging Problems in Geometry, Dover Publications, 1996.
T. Andreescu, Z. Feng : 103 Trigonometry Problems: From the Training of the USA IMO Team, Birkhauser Boston, 2004.
C.J. Bradley : Challenges in Geometry : for Mathematical Olympians Past and Present, Oxford University Press, 2005.
T. Andreescu, O. Mushkarov, L. Stoyanov : Geometric Problems on Maxima and Minima, Birkhauser Boston, 2005.
...sorted alphabetically...



Number Theory
E.J. Barbeau : Pell's Equation , Springer-Verlag, 2003.
I.M. Vinogradov : Elements of Number Theory, Dover Publications, 2003.
L.J. Mordell : Diophantine Equations, Academic Press, London and New York, 1969.
R.K. Guy : Unsolved Problems in Number Theory, Springer-Verlag, 3rd edition, 2004.
W. Sierpinski : Elementary Theory of Numbers, Polski Academic Nauk, Warsaw, 1964.
I. Nagell : Introduction to Number Theory, John Wiley and Sons, Inc., New York, Stockholm, 1951.
A. Baker : A Concise Introduction to the Theory of Numbers , Cambridge University Press, Cambridge, 1984.
T. Andreescu, D. Andrica, Z. Feng : 104 Number Theory Problems, Birkhauser, Boston 2006
V. Micic, Z. Kadelburg, D. Djukic : Introduction to Number Theory (in Serbian), 4th edition, MS of Serbia, Belgrade, 2004.
W. Sierpinski : 250 Problems in Elementary Number Theory, American Elsevier Publishing Company, Inc., New York, PWN, Warsaw, 1970.
T. Andreescu, D. Andrica : An Introduction to the Diophantine Equations, GIL Publishing House, Zalau, 2002.
I. Niven, H.S. Zuckerman, H.L. Montgomery : An Introduction to the Theory of Numbers , John Wiley and Sons, Inc., 1991.
G.H. Hardy, E.M. Wright : An Introduction to the Theory of Numbers, Oxford University Press; 5th edition, 1980.
...sorted alphabetically...



Combinatorics, Graph Theory, and Game Theory
T. Andreescu, Z. Feng : 102 Combinatorial Problems, Birkhauser Boston, 2002.
I. Tomescu, R.A. Melter : Problems in Combinatorics and Graph Theory, John Wiley and Sons, 1985.
P. Mladenovic : Combinatorics (in Serbian), 3rd edition, MS of Serbia, Belgrade, 2001.
H.S. Wilf : Generatingfunctionology , Academic Press, Inc.; 2nd edition, 1994.
J.H. van Lint, R.M. Wilson : A Course in Combinatorics, second edition, Cambridge University Press, 2001.
E.L. Berlekamp, J.H. Conway, R.K. Guy : Winning Ways for Your Mathematical Plays (Vol. 1), AK Peters, Ltd., 2nd edition, 2001.
E.L. Berlekamp, J.H. Conway, R.K. Guy : Winning Ways for Your Mathematical Plays (Vol. 4), AK Peters, Ltd., 2nd edition, 2004.
R.P. Stanley : Enumerative Combinatorics, Volumes 1 and 2, Cambridge University Press; New Ed edition, 2001.
E.L. Berlekamp, J.H. Conway, R.K. Guy : Winning Ways for Your Mathematical Plays (Vol. 2), AK Peters, Ltd., 2nd edition, 2003.
D. Stevanovic, M. Milosevic, V. Baltic : Discrete Mathematics: Problem Book in Elementary Combinatorics and Graph Theory (in Serbian), MS of Serbia, Belgrade, 2004.
E.L. Berlekamp, J.H. Conway, R.K. Guy : Winning Ways for Your Mathematical Plays (Vol. 3), AK Peters, Ltd., 2nd edition, 2003.
...sorted alphabetically...


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