Mathematical Olympiad Treasures
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Mathematical Olympiad Treasures
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Author : Titu Andreescu
language : en
Publisher: Orient Blackswan
Release Date : 2005
Mathematical Olympiad Treasures written by Titu Andreescu and has been published by Orient Blackswan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
Mathematical Olympiad Treasures
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-21
Mathematical Olympiad Treasures written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-21 with Mathematics categories.
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.
Mathematical Olympiad Challenges
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-04-26
Mathematical Olympiad Challenges written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-26 with Mathematics categories.
A collection of problems put together by coaches of the U.S. International Mathematical Olympiad Team.
Mathematical Olympiad Treasures
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Author : Titu Andreescu
language : en
Publisher: Birkhäuser
Release Date : 2004-01-01
Mathematical Olympiad Treasures written by Titu Andreescu and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-01 with Mathematics categories.
* "Mathematical Olympiad Treasures" aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts and problems in undergraduate mathematics. * The book contains a stimulating collection of problems in the subjects of algebra, geometry and trigonometry, number theory and combinatorics. * The problems are clustered by topic into self-contained sections, that begin with elementary facts, followed by a number of carefully selected problems and an extensive discussion of their solutions. * Should benefit undergraduate students, advanced high school students, instructors, and coaches. * "Treasures" is similar in structure to "Challenges", but with more emphasis on unconventional examples, essay answers, and creative thinking.
Mathematical Olympiad Challenges
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Author : Titu Andreescu, Razvan Gelca
language : en
Publisher: Orient Blackswan
Release Date : 2005
Mathematical Olympiad Challenges written by Titu Andreescu, Razvan Gelca and has been published by Orient Blackswan this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.
This is a rich collection of problems put together by two experienced and well-known professors of the US International Mathematical Olympiad Team. Hundreds of beautiful, challenging and instructive problems from algebra, geomety, trigonomety, combinations and number theory are clustered by topic into self-containd sections.....
Inequalities
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Author : Radmila Bulajich Manfrino
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-01-01
Inequalities written by Radmila Bulajich Manfrino and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-01 with Mathematics categories.
This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this volume we present both classic inequalities and the more useful inequalities for confronting and solving optimization problems. An important part of this book deals with geometric inequalities and this fact makes a big difference with respect to most of the books that deal with this topic in the mathematical olympiad. The book has been organized in four chapters which have each of them a different character. Chapter 1 is dedicated to present basic inequalities. Most of them are numerical inequalities generally lacking any geometric meaning. However, where it is possible to provide a geometric interpretation, we include it as we go along. We emphasize the importance of some of these inequalities, such as the inequality between the arithmetic mean and the geometric mean, the Cauchy-Schwarz inequality, the rearrangementinequality, the Jensen inequality, the Muirhead theorem, among others. For all these, besides giving the proof, we present several examples that show how to use them in mathematical olympiad problems. We also emphasize how the substitution strategy is used to deduce several inequalities.
Challenging Problems In Algebra
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Author : Alfred S. Posamentier
language : en
Publisher: Courier Corporation
Release Date : 2012-05-04
Challenging Problems In Algebra written by Alfred S. Posamentier and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-04 with Mathematics categories.
Over 300 unusual problems, ranging from easy to difficult, involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms, more. Detailed solutions, as well as brief answers, for all problems are provided.
103 Trigonometry Problems
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Author : Titu Andreescu
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-04
103 Trigonometry Problems written by Titu Andreescu and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-04 with Mathematics categories.
* 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
Topics In Algebra And Analysis
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Author : Radmila Bulajich Manfrino
language : en
Publisher: Birkhäuser
Release Date : 2015-02-09
Topics In Algebra And Analysis written by Radmila Bulajich Manfrino and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-09 with Mathematics categories.
The techniques presented here are useful for solving mathematical contest problems in algebra and analysis. Most of the examples and exercises that appear in the book originate from mathematical Olympiad competitions around the world. In the first four chapters the authors cover material for competitions at high school level. The level advances with the chapters. The topics explored include polynomials, functional equations, sequences and an elementary treatment of complex numbers. The final chapters provide a comprehensive list of problems posed at national and international contests in recent years, and solutions to all exercises and problems presented in the book. It helps students in preparing for national and international mathematical contests form high school level to more advanced competitions and will also be useful for their first year of mathematical studies at the university. It will be of interest to teachers in college and university level, and trainers of the mathematical Olympiads.
Contests In Higher Mathematics
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Author : Gabor J. Szekely
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Contests In Higher Mathematics written by Gabor J. Szekely and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
One of the most effective ways to stimulate students to enjoy intellectual efforts is the scientific competition. In 1894 the Hungarian Mathematical and Physical Society introduced a mathematical competition for high school students. The success of high school competitions led the Mathematical Society to found a college level contest, named after Miklós Schweitzer. The problems of the Schweitzer Contests are proposed and selected by the most prominent Hungarian mathematicians. This book collects the problems posed in the contests between 1962 and 1991 which range from algebra, combinatorics, theory of functions, geometry, measure theory, number theory, operator theory, probability theory, topology, to set theory. The second part contains the solutions. The Schweitzer competition is one of the most unique in the world. The experience shows that this competition helps to identify research talents. This collection of problems and solutions in several fields in mathematics can serve as a guide for many undergraduates and young mathematicians. The large variety of research level problems might be of interest for more mature mathematicians and historians of mathematics as well.