Fifty Lectures for American Mathematics Competitions
Fifty Lectures for American Mathematics Competitions

Author: Jane Chen

Publisher: Createspace Independent Publishing Platform

Published: 2013-01-09

Total Pages: 0

ISBN-13: 9781470194086

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While the books in this series are primarily designed for AMC competitors, they contain the most essential and indispensable concepts used throughout middle and high school mathematics. Some featured topics include key concepts such as equations, polynomials, exponential and logarithmic functions in Algebra, various synthetic and analytic methods used in Geometry, and important facts in Number Theory. The topics are grouped in lessons focusing on fundamental concepts. Each lesson starts with a few solved examples followed by a problem set meant to illustrate the content presented. At the end, the solutions to the problems are discussed with many containing multiple methods of approach. I recommend these books to not only contest participants, but also to young, aspiring mathletes in middle school who wish to consolidate their mathematical knowledge. I have personally used a few of the books in this collection to prepare some of my students for the AMC contests or to form a foundation for others. By Dr. Titu Andreescu US IMO Team Leader (1995 - 2002) Director, MAA American Mathematics Competitions (1998 - 2003) Director, Mathematical Olympiad Summer Program (1995 - 2002) Coach of the US IMO Team (1993 - 2006) Member of the IMO Advisory Board (2002 - 2006) Chair of the USAMO Committee (1996 - 2004) I love this book! I love the style, the selection of topics and the choice of problems to illustrate the ideas discussed. The topics are typical contest problem topics: divisors, absolute value, radical expressions, Veita's Theorem, squares, divisibility, lots of geometry, and some trigonometry. And the problems are delicious. Although the book is intended for high school students aiming to do well in national and state math contests like the American Mathematics Competitions, the problems are accessible to very strong middle school students. The book is well-suited for the teacher-coach interested in sets of problems on a given topic. Each section begins with several substantial solved examples followed by a varied list of problems ranging from easily accessible to very challenging. Solutions are provided for all the problems. In many cases, several solutions are provided. By Professor Harold Reiter Chair of MATHCOUNTS Question Writing Committee. Chair of SAT II Mathematics committee of the Educational Testing Service Chair of the AMC 12 Committee (and AMC 10) 1993 to 2000.

Fifty Lectures for American Mathematics Competitions Problems
Fifty Lectures for American Mathematics Competitions Problems

Author: Guiling Chen

Publisher: Createspace Independent Pub

Published: 2013-01-06

Total Pages: 226

ISBN-13: 9781477600160

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This problems book is for high school students who need extra practice preparing for American Math Competitions 10 and 12. It contains over 500 problems (with solutions) accompanying the lectures 1 through 25 of our 50 Lectures for American Mathematics Competitions books.

Twenty More Problem Solving Skills for Mathcounts Competitions
Twenty More Problem Solving Skills for Mathcounts Competitions

Author: Jane Chen

Publisher: Createspace Independent Pub

Published: 2010-10-13

Total Pages: 368

ISBN-13: 9781453784969

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Your book is "fabulous". I spent two hours last night working problems from it. I'm planning to use some in what I do with teachers, with citation of course. I love it. I love the clever problems you came up with and the clever solutions of the MATHCOUNTS problems you used. Dr. Harold Reiter, former Chairman of Mathcounts Question Written Committee, Math Professor, UNC at Charlotte Being responsible for the publications we put out at MATHCOUNTS, I understand the incredible amount of work this required. Congratulations on such a great accomplishment. ---Kristen Chandler Mathcounts, Deputy Director & Program Director I just finished going through with it. As for the book, I'm pretty impressed. It really seems you put a lot of time and effort into it, and I liked it. - Calvin Deng 2010 USA IMO Team Member, Silver Medalist I bought this book together with "Twenty More Problem Solving Skills" for my 6th grade daughter, who loves math, and is preparing for AMC and MathCounts competition. She is very excited with these two books, and learns a lot from these two books in her math competitionpreparation. We recommend this book as a must have math competition collection. - -A parent

50th IMO - 50 Years of International Mathematical Olympiads
50th IMO - 50 Years of International Mathematical Olympiads

Author: Hans-Dietrich Gronau

Publisher: Springer Science & Business Media

Published: 2011-01-03

Total Pages: 298

ISBN-13: 3642145655

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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.

Fifty Challenging Problems in Probability with Solutions
Fifty Challenging Problems in Probability with Solutions

Author: Frederick Mosteller

Publisher: Courier Corporation

Published: 2012-04-26

Total Pages: 100

ISBN-13: 0486134962

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Remarkable puzzlers, graded in difficulty, illustrate elementary and advanced aspects of probability. These problems were selected for originality, general interest, or because they demonstrate valuable techniques. Also includes detailed solutions.

Fifty Lectures for American Invitational Mathematics Examination (Aime)
Fifty Lectures for American Invitational Mathematics Examination (Aime)

Author: Yongcheng Chen

Publisher: CreateSpace

Published: 2014-10-25

Total Pages: 262

ISBN-13: 9781499298536

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Lectures preparing for American Invitational Mathematics Examination (AIME) with plenty of problems with detailed solutions. Topics include: Solid Geometry - Cube and Prism Solid Geometry - Tetrahedron Counting with Solid Geometry Plane Geometry Similar Triangles Plane Geometry Area and Area Method Plane Geometry Menelaus and Ceva Algebraic Manipulations Logarithms Solving Equations Cauchy Inequalities

The William Lowell Putnam Mathematical Competition 1985-2000
The William Lowell Putnam Mathematical Competition 1985-2000

Author: Kiran Sridhara Kedlaya

Publisher: MAA

Published: 2002

Total Pages: 360

ISBN-13: 9780883858073

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This third volume of problems from the William Lowell Putnam Competition is unlike the previous two in that it places the problems in the context of important mathematical themes. The authors highlight connections to other problems, to the curriculum and to more advanced topics. The best problems contain kernels of sophisticated ideas related to important current research, and yet the problems are accessible to undergraduates. The solutions have been compiled from the American Mathematical Monthly, Mathematics Magazine and past competitors. Multiple solutions enhance the understanding of the audience, explaining techniques that have relevance to more than the problem at hand. In addition, the book contains suggestions for further reading, a hint to each problem, separate from the full solution and background information about the competition. The book will appeal to students, teachers, professors and indeed anyone interested in problem solving as a gateway to a deep understanding of mathematics.

Putnam and Beyond
Putnam and Beyond

Author: Răzvan Gelca

Publisher: Springer

Published: 2017-09-19

Total Pages: 857

ISBN-13: 3319589881

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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 theory, combinatorics, and probability. Preliminary material provides an overview of common methods of proof: argument by contradiction, mathematical induction, pigeonhole principle, ordered sets, and invariants. Each chapter systematically presents a single subject within which problems are clustered in each section according to the specific topic. The exposition is driven by nearly 1300 problems and examples chosen from numerous sources from around the world; many original contributions come from the authors. The source, author, and historical background are cited whenever possible. Complete solutions to all problems are given at the end of the book. This second edition includes new sections on quad ratic polynomials, curves in the plane, quadratic fields, combinatorics of numbers, and graph theory, and added problems or theoretical expansion of sections on polynomials, matrices, abstract algebra, limits of sequences and functions, derivatives and their applications, Stokes' theorem, analytical geometry, combinatorial geometry, and counting strategies. Using the W.L. Putnam Mathematical Competition for undergraduates as an inspiring symbol to build an appropriate math background for graduate studies in pure or applied mathematics, the reader is eased into transitioning from problem-solving at the high school level to the university and beyond, that is, to mathematical research. This work may be used as a study guide for the Putnam exam, as a text for many different problem-solving courses, and as a source of problems for standard courses in undergraduate mathematics. Putnam and Beyond is organized for independent study by undergraduate and gradu ate students, as well as teachers and researchers in the physical sciences who wish to expand their mathematical horizons.

Mathematical Problems and Puzzles
Mathematical Problems and Puzzles

Author: S. Straszewicz

Publisher: Elsevier

Published: 2014-06-28

Total Pages: 376

ISBN-13: 1483280314

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Popular Lectures in Mathematics, Volume 12: Mathematical Problems and Puzzles: From the Polish Mathematical Olympiads contains sample problems from various fields of mathematics, including arithmetic, algebra, geometry, and trigonometry. The contest for secondary school pupils known as the Mathematical Olympiad has been held in Poland every year since 1949/50. This book is composed of two main parts. Part I considers the problems and solutions about integers, polynomials, algebraic fractions and irrational experience. Part II focuses on the problems of geometry and trigonometric transformation, along with their solutions. The provided solutions aim to extend the student's knowledge of mathematics and train them in mathematical thinking. This book will prove useful to secondary school mathematics teachers and students.