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Number Theory (Structures, Examples, and Problems)

Number theory, an ongoing rich area of mathematical exploration, is noted for its theoretical depth, with connections and applications to other fields from representation theory, to physics, cryptography, and more. While the forefront of number theory is replete with sophisticated Read more…


An Introduction to Diophantine Equations (A Problem-Based Approach)

This problem-solving book is an introduction to the study of Diophantine equations, a class of equations in which only integer solutions are allowed. The presentation features some classical Diophantine equations, including linear, Pythagorean, and some higher degree equations, as well Read more…


Putnam and Beyond

This book takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis, differential equations, coordinate geometry, trigonometry, elementary number Read more…


102 Combinatorial Problems (From the Training of the USA IMO Team)

“102 Combinatorial Problems” consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and Read more…


Complex Numbers from A to…Z

It is impossible to imagine modern mathematics without complex numbers. Complex Numbers from A to . . . Z introduces the reader to this fascinating subject that, from the time of L. Euler, has become one of the most utilized Read more…


Mathematical Olympiads (Problems and Solutions From Around the World 1998-1999)

This volume contains a large range of problems, with and without solutions, taken from 25 national and regional mathematics olympiads from around the world, and the problems are drawn from several years’ contests. In many cases, more than one solution Read more…


101 Problems in Algebra

This book contains 101 highly rated problems used in training and testing the USA IMO Team. It gradually builds students’ algebraic skills and techniques and aims to broaden students’ views of mathematics and better prepare them for participation in mathematics Read more…