ALGEBRA Inequalities Secrets In Inequalities volume 1 - Basic Inequalities - Pham Kim Hung. Secrets In Inequalities volume 2 - Advanced Inequalities - Pham Kim Hung. Algebraic Inequalities - Old And New Methods - Vasile Cirtoaje. Old And New inequalities volume 1 - Titu Andreescu, Vasile Cirtoaje, Gabriel Dos pinescu, Mircea Lascu. Old And New Inequalities volume 2 - Vo Quoc Ba Can, Cosmin Pohoata. The Cauchy-Schwarz Master Class - J. Michael Steele. Inequalities: A Mathematical Olympiad Approach - Radmila Bulajich Manfrino, Jose Antonio Ortega, Rogelio Valdez Delgado. An Introduction to Inequalities - Bellman, Beckenbach. Analytic Inequalities - Mitrinovic. Polynomials Polynomials and Polynomial Inequalities (Graduate Texts in Mathematics) - (Sprin ger) - Peter Borwein - Tamas Erdely. Geometry of Polynomials - (American Mathematical Society) - Morris Marden. Polynomials - (Springer) - E.J. Barbeau. Solving Polynomial Equations: Foundations, Algorithms, and Applications - (Sprin ger) - Alicia Dickenstein - Ioannis Z. Emiris. Functional Equations Functional Equations and Inequalities in Several Variables - (World Scientific P ublication) - Stefan Czerwik. Lectures on Functional Equations - (Academic Press) - J. Aczel. Functional Equations: A Problem Solving Approach - (Prism Books) - B.J. Venkatch ala. NUMBER THEORY Number Theory Structures, Examples, and Problems - Titu Andreescu, Dorin Andrica - Both Book (olympiad examples followed by problems). Excellent book for number theory. An Introduction to Diophantine Equations - Titu Andreescu, Dorin Andrica, Ion Cu curezeanu - Both Book (olympiad examples followed by problems). Excellent book f or Diophantine equations. 104 Number Theory Problems - Titu Andreescu, Dorin Andrica, Zuming Feng - Proble m Book. 250 problems in number theory - W. Sierpinski - Problem Book. A Selection of Problems in Theory of Numbers - W. Sierpinski - Problem Book. Gre at book. The Theory of Numbers - a Text and Source Book of Problems - Andrew Adler, John E. Coury - Both Book (olympiad examples followed by problems). Excellent book. Number Theory - Naoki Sato (nsato) - Theory Book. Solved and Unsolved Problems in Number Theory - Daniel Shanks - Problem Book. Elementary Number Theory (Revised Printing) - David M. Burton - It is a nice boo k for theory building and is low-impact in its approach. An Introduction to the Theory of Numbers - Ivan Niven, Herbert S. Zuckerman - Th eory Book. Number Theory, An Introduction via the Distribution of Primes - Benjamin Fine, G erhard Rosenberger - Theory Book. Number Theory for Computing - Song Y. Yan - Theory Book (this book contains comp utational examples/theorems for number theory). Pell's Equation - Edward J. Barbeau [level is a little above olympiad] - Both Bo ok (olympiad examples followed by problems). GEOMETRY 103 Trigonometry Problems - Titu Andreescu, Zuming Feng - Both book (solved exam ples and approaches + problems). Famous Problems of Geometry and How to Solve Them - Benjamin Bold - Both book (s
olved examples and approaches + problems). Challenging Problems in Geometry - Alfred S. Posamenter, Charles T. Salkind - Bo th book - Great book. Elements of Projective Geometry - Luigi Ceremona - Both book, again. Japanese Temple Geometry Problems - San Gaku - Problem book (it contains lots of theorems about circles). Geometric Problems on Maxima and Minima - Titu Andreescu, Oleg Mushkarov, Luchez ar Stoyanov - Problem book - Great book. Complex Numbers in Geometry - I. M. Yaglom - Theory book. Forum Geometricorum (A Journal on Classical Euclidean Geometry and Related Areas ) - Authors - Uploaded by Amir Hossein Parvardi. AVAILABLE for DOWNLOAD. Geometry revisited - Coxeter and Greitzer - Both book. Problems in Geometry - Kutepov, Rubanov - Problem book. Investigations in Geometry (Math Motivators!) - Posamentier, Sheridan - Both boo k. Introduction to Geometry - Coxeter - Theory book. 103 Trigonometry Problems - Andreescu, Feng - Problem book - this is a very good book. Modern Geometry with Applications - Jennings - Both book. Geometric Transformations (4 volumes) - Yaglom - Theory book. COMBINATORICS A Path to Combinatorics for Undergraduates - Andreescu, Feng. Proofs that Really Count (The Art of Combinatorial Proof)' - Benjamin and Quinn. A Course in Combinatorics - Lint and Wilson. GENERAL PROBLEM SOLVING Challenging Mathematical Problems With Elementary Solutions (Volume I, Combinato rial Analysis and Probability Theory) - A. M. Yaglom, I. M. Yaglom. Challenging Mathematical Problems With Elementary Solutions (Volume II, Problem From Various Branches of Mathematics) - A. M. Yaglom, I. M. Yaglom. Mathematics as Problem Solving - Alexander Soifer. A Primer For Mathematics Competitions - Alexander Zawaira, Gavin Hitchcock. Problem Solving Strategies For Efficient And Elegant Solutions (A Resource For T he Mathematics Teacher) - Alfred S. Posamentier, Stephen Kruli. Problems for the Mathematical Olympiads (From the First Team Selection Test to t he IMO) - Andrei Negut. Problem Primer for the Olympiad - C. R. Pranesachar, B. J. Venkatachala, C. S. Y ogananda. Chinese Mathematics Competitions and Olympiads (two volumes) - Andy Liu. Hungarian Problem Book' (three volumes) - Andy Liu. Canadian Mathematical Olympiad 1969-1993 (Problems and Solutions) - Michael Doob . The Art and Craft of Problem Solving - Paul Zeitz. International Mathematical Olympiads 1978-1985 and Forty Supplementary Problems - Murray S. Klamkin. USA Mathematical Olympiads 1972-1986 (Problems and Solutions) - Murray S. Klamki n. USSR Mathematical Olympiads 1989-1992 - Arkadii M. Slinko. Problems From THE BOOK - Martin Aigner, Günter M. Ziegler. Techniques of Problem Solving - Steven G. Krantz. Junior Balkan Mathematical Olympiads - Dan Branzei, loan Serdean, Vasile Serdean . The IMO Compendium (A Collection of Problems Suggested for the Mathematical Olym piads, 1959-2004) - Dusan Djukic, Vladimir Jankovic, Ivan Matic, Nikola Petrovic . Five Hundred Mathematical Challenges - Edward J. Barbeau, Murray S. Klamkin, Wil liam O. J. Moser. The USSR Olympiad Problem Book (Selected Problems and Theorems of Elementary Mat hematics) - D. O. Shklarsky, N. N. Chentzov, I. M. Yaglom.
The William Lowell Putnam Mathematical Competition (Problems and Solutions 19651984) (three volumes) - Volume 1: A. M. Gleason, R. E. Greenwood, L. M. Kelly, V olume 2: Gerald L. Alexanderson, Leonard F. Klosinski, Loren C. Larson, Volume 3 : Kiran S. Kedlaya, Bjorn Poonen, Ravi Vakil. International Mathematics TOURNAMENT OF THE TOWNS (Questions & Solutions) - (fiv e volumes) - Peter J. Taylor. Mathematical Problems and Proofs (Combinatorics, Number Theory and Geometry) - B ranislav Kisacanin. 360 Problems for Mathematical Contests - Titu Andreescu, Dorin Andrica. PROBLEMS FROM AROUND THE WORLD - (six volumes) - Titu Andreescu, Kiran S. Kedlay a, Paul Zeitz. Mathematical Olympiad Treasures - Titu Andreescu, Bogdan Enescu. Mathematical Olympiad Challenges - Titu Andreescu, Razvan Gelca. Lecture Notes on Mathematical Olympiad Courses - Xu Jiagu. Putnam and Beyond - Titu Andreescu, Razvan Gelca. Hungary-Israeli Mathematics Competition - Shay Gueron. MAA - The Contest Problem Book (Annual High School Contests) - (four volumes) Volumes 1, 2, 3: Charles T. Salkind, James M. Earl, Volume 4: Ralph A. Artino, A nthony M. Gaglione, Niel Shell. Mathematical Olympiad in China (2007-2008) (Problems and Solutions) - Xiong Bin, Lee Peng Yee. What to Solve (Problems and Suggestions For Young Mathematicians) - Judita Cofma n.