USA and International Mathematical Olympiads 2004

USA and International Mathematical Olympiads 2004 PDF Author: Titu Andreescu
Publisher: Mathematical Association of America
ISBN: 9780883858196
Category : Mathematics
Languages : en
Pages : 85

Book Description
A publication to help prepare students to participate in the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO).

USA and International Mathematical Olympiads, 2005

USA and International Mathematical Olympiads, 2005 PDF Author: Zuming Feng
Publisher: MAA
ISBN: 9780883858233
Category : Mathematics
Languages : en
Pages : 100

Book Description
The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO), have been published annually by the MAA American Mathematics Competitions since 1976. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics.

USA and International Mathematical Olympiads, 2003

USA and International Mathematical Olympiads, 2003 PDF Author: Titu Andreescu
Publisher: MAA
ISBN: 9780883858172
Category : Mathematics
Languages : en
Pages : 106

Book Description
The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO), have been published annually since 1976. This is the fourth volume in that series. The IMO is a world mathematics competition for high school students that takes place each year in a different country. Students from all over the world participate in this competition. These Olympiad style exams consist of several challenging essay-type problems. Although a correct and complete solution to an Olympiad problem often requires deep analysis and careful argument, the problems require no more than a solid background in high school mathematics coupled with a dose of mathematical ingenuity. There are helpful hints provided for each of the problems. These hints often help lead the student to a solution of the problem. Complete solutions to each of the problems is also included, and many of the problems are presented together with a collection of remarkable solutions developed by the examination committees, contestants and experts, during or after the contest. For each problem with multiple solutions, some common crucial results are presented at the beginning of these solutions.

USA and International Mathematical Olympiads 2004

USA and International Mathematical Olympiads 2004 PDF Author: Titu Andreescu
Publisher: MAA
ISBN: 9780883858196
Category : Mathematics
Languages : en
Pages : 130

Book Description
The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olypiad (IMO), have been published annually since 1976. The IMO is the world mathematics championship for high school students. It takes place every year in a different country. The IMO competitions help to discover, challenge, and encourage mathematically gifted young people all over the world. In addition to presenting their own carefully written solutions to the problems presented here, the editors have provided remarkable solutions developed by the examination committees, contestants, and experts, during and after the contests. They also provide a comprehensive guide to other materials on advances problem-solving. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics outside the school curriculum and to deepen their knowledge of mathematics.

USA and International Mathematical Olympiads, 2002

USA and International Mathematical Olympiads, 2002 PDF Author: Titu Andreescu
Publisher: MAA Press
ISBN:
Category : Education
Languages : en
Pages : 104

Book Description
This is the third volume of problems that cover the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO) to be published by the MAA in its Problem Book series.

USA and International Mathematical Olympiads, 2001

USA and International Mathematical Olympiads, 2001 PDF Author: Titu Andreescu
Publisher: MAA Press
ISBN:
Category : Mathematics
Languages : en
Pages : 144

Book Description
The Mathematical Olympiad examinations, covering the USA Mathematical Olympiad (USAMO) and the International Mathematical Olympiad (IMO), have been published annually by the MAA American Mathematics Competitions since 1976. This collection of excellent problems and beautiful solutions is a valuable companion for students who wish to develop their interest in mathematics.

Number Theory

Number Theory PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817646450
Category : Mathematics
Languages : en
Pages : 384

Book Description
This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.

Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads PDF Author: Evan Chen
Publisher: American Mathematical Soc.
ISBN: 1470466201
Category : Education
Languages : en
Pages : 311

Book Description
This is a challenging problem-solving book in Euclidean geometry, assuming nothing of the reader other than a good deal of courage. Topics covered included cyclic quadrilaterals, power of a point, homothety, triangle centers; along the way the reader will meet such classical gems as the nine-point circle, the Simson line, the symmedian and the mixtilinear incircle, as well as the theorems of Euler, Ceva, Menelaus, and Pascal. Another part is dedicated to the use of complex numbers and barycentric coordinates, granting the reader both a traditional and computational viewpoint of the material. The final part consists of some more advanced topics, such as inversion in the plane, the cross ratio and projective transformations, and the theory of the complete quadrilateral. The exposition is friendly and relaxed, and accompanied by over 300 beautifully drawn figures. The emphasis of this book is placed squarely on the problems. Each chapter contains carefully chosen worked examples, which explain not only the solutions to the problems but also describe in close detail how one would invent the solution to begin with. The text contains a selection of 300 practice problems of varying difficulty from contests around the world, with extensive hints and selected solutions. This book is especially suitable for students preparing for national or international mathematical olympiads or for teachers looking for a text for an honor class.

104 Number Theory Problems

104 Number Theory Problems PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817645616
Category : Mathematics
Languages : en
Pages : 204

Book Description
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

103 Trigonometry Problems

103 Trigonometry Problems PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817644326
Category : Mathematics
Languages : en
Pages : 214

Book Description
* Problem-solving tactics and practical test-taking techniques provide in-depth enrichment and preparation for various math competitions * Comprehensive introduction to trigonometric functions, their relations and functional properties, and their applications in the Euclidean plane and solid geometry * A cogent problem-solving resource for advanced high school students, undergraduates, and mathematics teachers engaged in competition training