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

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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, 2005

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

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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, 2002

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

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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.

Articles and Excerpts, Volume 1

Articles and Excerpts, Volume 1 PDF Author: AoPS Incorporated
Publisher: AoPS Incorporated
ISBN: 1934124001
Category :
Languages : en
Pages : 98

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Book Description


Number Theory

Number Theory PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817646450
Category : Mathematics
Languages : en
Pages : 383

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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.

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

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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.

104 Number Theory Problems

104 Number Theory Problems PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817645616
Category : Mathematics
Languages : en
Pages : 214

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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.

First Steps for Math Olympians: Using the American Mathematics Competitions

First Steps for Math Olympians: Using the American Mathematics Competitions PDF Author: J. Douglas Faires
Publisher: American Mathematical Soc.
ISBN: 1470451263
Category : Education
Languages : en
Pages : 331

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Book Description
Any high school student preparing for the American Mathematics Competitions should get their hands on a copy of this book! A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions (AMC) have been given for more than fifty years to millions of high school students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone taking the AMC exams or helping students prepare for them will find many useful ideas here. But people generally interested in logical problem solving should also find the problems and their solutions interesting. This book will promote interest in mathematics by providing students with the tools to attack problems that occur on mathematical problem-solving exams, and specifically to level the playing field for those who do not have access to the enrichment programs that are common at the top academic high schools. The book can be used either for self-study or to give people who want to help students prepare for mathematics exams easy access to topic-oriented material and samples of problems based on that material. This is useful for teachers who want to hold special sessions for students, but it is equally valuable for parents who have children with mathematical interest and ability. As students' problem solving abilities improve, they will be able to comprehend more difficult concepts requiring greater mathematical ingenuity. They will be taking their first steps towards becoming math Olympians!

Mathematical Olympiad in China (2007-2008)

Mathematical Olympiad in China (2007-2008) PDF Author: Bin Xiong
Publisher: World Scientific
ISBN: 9814261149
Category : Mathematics
Languages : en
Pages : 221

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Book Description
The International Mathematical Olympiad (IMO) is a competition for high school students. China has taken part in the IMO 21 times since 1985 and has won the top ranking for countries 14 times, with a multitude of golds for individual students. The six students China has sent every year were selected from 20 to 30 students among approximately 130 students who took part in the annual China Mathematical Competition during the winter months. This volume comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2006 to 2008. Mathematical Olympiad problems with solutions for the years 2002?2006 appear in an earlier volume, Mathematical Olympiad in China.

Mathematical Olympiad Treasures

Mathematical Olympiad Treasures PDF Author: Titu Andreescu
Publisher: Springer Science & Business Media
ISBN: 0817682538
Category : Mathematics
Languages : en
Pages : 256

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Book Description
Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.

50th IMO - 50 Years of International Mathematical Olympiads

50th IMO - 50 Years of International Mathematical Olympiads PDF Author: Hans-Dietrich Gronau
Publisher: Springer Science & Business Media
ISBN: 3642145655
Category : Mathematics
Languages : en
Pages : 298

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Book Description
In July 2009 Germany hosted the 50th International Mathematical Olympiad (IMO). For the very first time the number of participating countries exceeded 100, with 104 countries from all continents. Celebrating the 50th anniversary of the IMO provides an ideal opportunity to look back over the past five decades and to review its development to become a worldwide event. This book is a report about the 50th IMO as well as the IMO history. A lot of data about all the 50 IMOs are included. We list the most successful contestants, the results of the 50 Olympiads and the 112 countries that have ever taken part. It is impressive to see that many of the world’s leading research mathematicians were among the most successful IMO participants in their youth. Six of them gave presentations at a special celebration: Bollobás, Gowers, Lovász, Smirnov, Tao and Yoccoz. This book is aimed at students in the IMO age group and all those who have interest in this worldwide leading competition for highschool students.