Authors:Titu Andreescu, Razvan Gelca,
Publisher: Birkhäuser Bosto
Keywords: challenges, olympiad, mathematical
Number of Pages: 283
Published: 2008-12-09
List price: $49.95
ISBN-10: 0817645284
ISBN-13: 9780817645281

This signficantly revised and expanded second edition of Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory from numerous mathematical competitions and journals have been selected and updated. The problems are clustered by topic into self-contained sections with solutions provided separately. Historical insights and asides are

Authors:Titu Andreescu, Zuming Feng,
Publisher: Birkhäuser Bosto
Keywords: imo, team, usa, training, problems, trigonometry
Number of Pages: 214
Published: 2004-12-15
List price: $49.95
ISBN-10: 0817643346
ISBN-13: 9780817643348

103 Trigonometry Problems contains highly-selected problems and solutions used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Though many problems may initially appear impenetrable to the novice, most can be solved using only elementary high school mathematics techniques. Key features: * Gradual progression in problem difficulty builds and strengthens mathematical skills and techniques * Basic topics include trigonometric formulas and identities, their applications in the geometry of the triangle, trigonometric equations and inequalities, and substitu

Authors:Titu Andreescu, Dorin Andrica,
Publisher: Birkhäuser Bosto
Keywords: numbers, complex
Number of Pages: 321
Published: 2005-10-03
List price: $49.95
ISBN-10: 0817643265
ISBN-13: 9780817643263

It is impossible to imagine modern mathematics without complex numbers. "Complex Numbers from A to ...Z" introduces the reader to this fascinating subject which, from the time of L. Euler, has become one of the most utilized ideas in mathematics. The exposition concentrates on key concepts and then elementary results concerning these numbers. The reader learns how complex numbers can be used to solve algebraic equations and to understand the geometric interpretation of complex numbers and the operations involving them. The theoretical parts of the book are augmented with rich exercises and pro

Authors:Titu Andreescu, Dorin Andrica,
Publisher: Birkhäuser Bosto
Keywords: problems, examples, structures, theory, number
Number of Pages: 384
Published: 2009-03-11
List price: $59.95
ISBN-10: 081763245X
ISBN-13: 9780817632458

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 and famous open problems, at its foundation are basic, elementary ideas that can stimulate and challenge beginning students. This lively introductory text focuses on a problem-solving approach to the subject. Key features of Number Theory: Structures, Examples, and Problems: * A rigorous exposition starts with the na

Authors:Titu Andreescu, Razvan Gelca,
Publisher: Birkhäuser Boston
Keywords: challenges, olympiad, mathematical
Number of Pages: 260
Published: 2001-01-10
List price: $44.95
ISBN-10: 0817641556
ISBN-13: 9780817641559

"Mathematical Olympiad Challenges" is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list

Authors:Titu Andreescu, Zuming Feng,
Publisher: Birkhäuser Boston
Keywords: strategies, counting, undergraduates, combinatorics, path
Number of Pages: 228
Published: 2003-11-11
List price: $54.95
ISBN-10: 0817642889
ISBN-13: 9780817642884

This unique approach to combinatorics is centered around challenging examples, fully-worked solutions, and hundreds of problems---many from Olympiads and other competitions, and many original to the authors. Each chapter highlights a particular aspect of the subject and casts combinatorial concepts in the guise of questions, illustrations, and exercises that are designed to encourage creativity, improve problem-solving techniques, and widen the reader’s mathematical horizons. Topics encompass permutations and combinations, binomial coefficients and their applications, recursion, bijec

Authors:Titu Andreescu, Zuming Feng,
Publisher: Birkhäuser Boston
Keywords: problems, combinatorial
Number of Pages: 128
Published: 2002-10-29
List price: $49.95
ISBN-10: 0817643176
ISBN-13: 9780817643171

"Combinatorial Problems" consists of 102 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 enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and ad