A Friendly Mathematics Competition: 35 Years of Teamwork in Indiana

(Maa Problem Books Series) 

Rick Gillman 

Mathematical Association of America | 2003 | 196 páginas | rar - pdf |658 kb

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"A Friendly Mathematics Competition" tells the story of the Indiana College Mathematics Competition (ICMC) by presenting the problems, solutions, and results of the first 35 years of the ICMC. The ICMC was organized in reaction to the Putnam Exam - its problems were to be more representative of the undergraduate curriculum, and students could work on them in teams.

Originally participation was originally restricted to the small, private colleges and universities of the state, but was later opened up to students from all of the schools in Indiana. The competition was quickly nicknamed the "Friendly" Competition because of its focus on solving mathematical problems, which brought faculty and students together, rather than on the competitive nature of winning. Organized by year, the problems and solutions in this volume present an excellent archive of information about what has been expected of an undergraduate mathematics major over the past 35 years. With more than 245 problems and solutions, the book is also a must buy for faculty and students interested in problem-solving.

The index of problems lists problems in: Algebraic Structures; Analytic Geometry, Arclength, Binomial Coefficients, Derangements, Differentiation, Differential Equations, Diophantine Equations, Enumeration, Field and Ring Theory, Fibonacci Sequences, Finite Sums, Fundamental Theorem of Calculus Geometry, Group Theory, Inequalities, Infinite Series, Integration, Limit Evaluation, Logic, Matrix Algebra, Maxima and Minima Problems, Multivariable Calculus, Number Theory, Permutations, Probability, Polar Coordinates, Polynomials, Real Valued Functions Riemann Sums, Sequences, Systems of Equations, Statistics, Synthetic Geometry, Taylor Series, Trigonometry, and Volumes.

Hungarian Problem Book 1: based on the Eötvos Competitions: 1894-1905

J. Kürchak, Elvira Rapaport

Mathematical Association of America | 1963 |  120 páginas | rar - pdf | 3,9 Mb

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The Eötvös Contests in elementary mathematics have been open to Hungarian students in their last year of high school ever since 1894. They are famous for the simplicity of the concepts employed, the mathematical depth reached, and the diversity of elementary mathematical fields touched. But perhaps their most remarkable feature is the influence that they, together with a mathematics journal for students, seem to have had on the young people of that small country. Among the winners of the first 11 contests (i.e. those contained in the present volume) many turned into scientists of international fame; e.g. L. Fejér, T. von Kármán, D. Kónig, M. Riesz. Among the winners of the next twenty contests (i.e., those contained in volume 12) are G. Szegró, T. Radó, E. Teller; all three are well known in the United States, where they now reside. This translation of the Eötvös Contests Problems from 1894-1928 is based on the revised Hungarian edition of J. Kürschák's original compilation. Kürschák combined his excellence in mathematics with his interest in education when he supplied the elegant solutions and illuminating explanations. Book I, 1894-1905 Problems and solutions included.

International Mathematical Olympiads 1959-1977

(New Mathematical Library)
Samuel L. Greitzer

Mathematical Association of America (MAA) | 1979 | 204 páginas | rar - pdf | 7,2 Mb

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The International Olympiad has been held annually since 1959; the U.S. began participating in 1974, when the Sixteenth International Olympiad was held in Erfurt, G.D.R.
In 1974 and 1975, the National Science Foundation funded a three week summer training session with Samuel L. Greitzer of Rutgers University and Murray Klamkin of the University of Alberta as the U.S. teams' coaches. Summer training sessions in 1976, 1977 were funded by grants from the Army Research Office and Office of Naval Research. To date the U.S. teams have consistently placed among the top three national scores: second in 1974(the USSR was first), third in 1975 (behind Hungary and the G.D.R) and 1976 (behind the USSR and Great Britain) and first in 1977.
Members of U.S. team are selected from the 100 top scorers on the Annual High School Examinations (see NML vols. 5, 17, 25) by subsequent competition in the U.S. Mathematical Olympiad.
In this volume the demonstrably effective coach and prime mover in planning the participation of the U.S.A. in the I.M.O., Samuel L. Greitzer, has compiled all the IMO problems from the First through the Nineteenth (1977) IMO and their solutions, some based on the contestants' papers.
The problems ae solvable by methods accessible to secondary school students in most nations, but insight and ingenuity are often required. A chronological examination of the questions throws some light on the changes and trends in secondary school mathematics curricula.

Mathematical Olympiad In China (2009-2010): Problems And Solutions

(Mathematical Olympiad Series)

Bin Xiong e Peng Yee Lee

World Scientific Publishing Company | 2013 | 205  páginas | rar - pdf | 15 Mb

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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 gold's 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 of comprises a collection of original problems with solutions that China used to train their Olympiad team in the years from 2009 to 2010. Mathematical Olympiad problems with solutions for the years 2002 - 2008 appear in an earlier volume, "Mathematical Olympiad in China".

The Hard Mathematical Olympiad Problems And Their Solutions

Steve Dinh

AuthorHouse | 2011 | 320 páginas

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This book shows the approaches to solving many difficult Mathematical Olympiad and other international problems posted at the www.mathlinks.ro, the largest mathematical webpage that has most of the problems used to select the talented students of the world. At the time of this book's publication, the solutions to many of these problems are not yet available.

Soluções de alguns problemas do livro: link

A pedido de Hugo Delatorre

USA Mathematical Olympiads 1972-1986 Problems and Solutions

(Anneli Lax New Mathematical Library) 

Murray Klamkin 

Mathematical Association of America | 1989 | 146 páginas | pdf | 1,7 Mb

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People delight in working on problems "because they are there," for the sheer pleasure of meeting a challenge. This is a book full of such delights. In it, Murray S. Klamkin brings together 75 original USA Mathematical Olympiad (USAMO) problems for yearss 1972-1986, with many improvements, extensions, related exercises, open problems, referneces and solutions, often showing alternative approaches. The problems are coded by subject, and solutions are arranged by subject, e.g., algebra, number theory, solid geometry, etc., as an aid to those interested in a particular field. Included is a Glossary of frequently used terms and theorems and a comprehensive bibliography with items numbered and referred to in brackets in the text. This a collection of problemsand solutions of arresting ingenuit, all accessible to secondary school students.

The USAMO has been taken annually by about 150 of the nation's best high school mathematics students. This exam helps to find and encourage high school students with superior mathematical talent and creativity and is the culmination of a three-tiered competition that begins with the American High School Mathematics Examination (AHSME) taken by over 400, 000 students. The eight winners of the USAMO are canidates for the US team in the International Mathematical Olympiad. Schools are encouraged to join this large and important enterprise. See page x of the preface for further information. this book includes a list of all of the top contestants in the USAMO and their schools.

The problems are intriguing and the solutions elegant and informative. Students and teachers will enjoy working these challenging problems. Indeed, all hose who are mathematically inclined will find many delights and pleasant challenges in this book.

Contents
Editors' Note Vii
Preface ix
USA Olympiad Problems 1
Solutions of Olympiad Problems 15
Algebra (A) 15
Number Theory (N.T.) 30
Plane Geometry (P.G.) 45
Solid Geometry (S.G.) 55
Geometric Inequalities (G.I.) 66
Inequalities (I) 81
Combinatorics & Probability (C.& P.) 93
Appendix 105
List of Symbols 110
Glossary 111
References 120

International Mathematical Olympiads and Forty Supplementary Problems

(New Mathematical Library) 

Murray S. Klamkin

The Mathematical Association of America |1986 | 155 páginas | rar -pdf | 5 Mb

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A compilation of problems of arresting ingenuity given to high school students competing in the International Mathematical Olympiads

Contents
Editor’s Note
Preface
Olympiad Problems
Supplementary Problems
Solutions of Olympiad Problems
Olympiad 20,1978
Olympiad 21,1979
Olympiad 22,1981
Olympiad 23,1982
Olympiad 24,1983
Olympiad 25,1984
Olympiad 26,1985
Solutions of Supplementary Problems
Algebra
Number Theory
Plane Geometry
Solid Geometry
Geometric Inequalities
Inequalities
Combinatorics
Appendix A

Lecture Notes on Mathematical Olympiad Courses: For Junior Section

Xu Jiagu

World Scientific Publishing Company | 2012 |


vol. 1  - 178 páginas | pdf

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Olympiad mathematics is not a collection of techniques of solving mathematical problems but a system for advancing mathematical education. This book is based on the lecture notes of the mathematical Olympiad training courses conducted by the author in Singapore. Its scope and depth not only covers and beyond the usual syllabus, but introduces a variety of concepts and methods in modern mathematics as well. In each lecture, the concepts, theories and methods are taken as the core. The examples serve to explain and enrich their intentions and to indicate their applications. Besides, appropriate number of test questions is available for the readers' practice and testing purpose. Their detailed solutions are also conveniently provided. The examples are not very complicated so readers can easily understand. There are many real competition questions included which students can use to verify their abilities. These test questions originate from many countries all over the world. This book will serve as a useful textbook of mathematical Olympiad courses, a self-study lecture notes for students, or as a reference book for related teachers and researchers.

Selected Problems Of The Vietnamese Mathematical Olympiad (1962-2009)

Hai Chau Le

World Scientific Publishing Company | 2010 | 332 páginas | pdf

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Vietnam has actively organized the National Competition in Mathematics and since 1962, the Vietnamese Mathematical Olympiad (VMO). On the global stage, Vietnam has also competed in the International Mathematical Olympiad (IMO) since 1974 and constantly emerged as one of the top ten.To inspire and further challenge readers, we have gathered in this book problems of various degrees of difficulty of the VMO from 1962 to 2009. The book is highly useful for high school students and teachers, coaches and instructors preparing for mathematical olympiads, as well as non-experts simply interested in having the edge over their opponents in mathematical competitions.

50th IMO - 50 Years of International Mathematical Olympiads

Springer | 2011 | 245 páginas | pdf |

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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.

Mathematical Olympiad in China (2007-2008) : Problems and Solutions

Bin Xiong, Yee Lee Peng

 World Scientific Publishing Company |2009 | 194 páginas | 

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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

Titu Andreescu, Bogdan Enescu

Birkhäuser; 2nd ed.  edition  | 2012 | 334 páginas| PDF | 1,2 Mb

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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.

The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2009

Duan Djuki, Vladimir Jankovi, Ivan Mati and Nikola Petrovi,  
2.ª Edição

Springer | 2011  | 823 páginas | PDF | 6,2 Mb

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"The IMO Compendium" is the ultimate collection of challenging high-school-level mathematics problems and is an invaluable resource not only for high-school students preparing for mathematics competitions, but for anyone who loves and appreciates mathematics. The International Mathematical Olympiad (IMO), nearing its 50th anniversary, has become the most popular and prestigious competition for high-school students interested in mathematics. Only six students from each participating country are given the honor of participating in this competition every year. The IMO represents not only a great opportunity to tackle interesting and challenging mathematics problems, it also offers a way for high school students to measure up with students from the rest of the world. Until the first edition of this book appearing in 2006, it has been almost impossible to obtain a complete collection of the problems proposed at the IMO in book form. "The IMO Compendium" is the result of a collaboration between four former IMO participants from Yugoslavia, now Serbia and Montenegro, to rescue these problems from old and scattered manuscripts, and produce the ultimate source of IMO practice problems. This book attempts to gather all the problems and solutions appearing on the IMO through 2009. This second edition contains 143 new problems, picking up where the 1959-2004 edition has left off.  

1.ª edição


The IMO Compendium: A Collection of Problems Suggested for The International Mathematical Olympiads: 1959-2004 (2006)

The Art and Craft of Problem Solving

Paul Zeitz

2.ª Edição

Wiley | 2006 |  384 páginas |

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The newly revised Second Edtion of this distinctive text uniquely blends interesting problems with strategies, tools, and techniques to develop mathematical skill and intuition necessary for problem solving. Readers are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International Mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problem

The Colorado Mathematical Olympiad and Further Explorations

Alexander Soifer

Springer | 2011 | 447 páginas | PDF | 8 Mb

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This book dramatically (by a factor of 2.5) expands its predecessor, the 1994 Colorado Mathematical Olympiad: The First Ten Years and Further Explorations. It conveys the spirit and the exciting history of the competition as well as an outline of all original problems and solutions that have been created for the contest over 20 years mostly by the author. Some of the problems were inspired by Russian mathematical folklore; for example, the 1989 Sugar Cubed problem was written in a pleasant Lewis Carroll-like story. Other entertaining problems involve Olde Victorian Map Colourings, King Authur and the Knights of the Round Table, Crawford Cowboy Had a Farm, Santa Claus and his elves painting the plane, etc. The twenty "Further Explorations" form a unique feature, not found in any other Olympiad book: each exploration takes off a solved Olympiad problem and leads the reader to the forefront of mathematics. These bridges allow young mathematicians to engage in mathematical research all of their own. Part V of the book gives the microphone to the winners, who describe the role of this Olympiad in their lives and share their successful careers.

Romanian Mathematical Competitions

Romanian Mathematical Society

Romanian Mathematical Competitions 1996
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Romanian Mathematical Competitions 1997
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Romanian Mathematical Competitions 1998
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Romanian Mathematical Competitions 1999
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Romanian Mathematical Competitions 2000
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Romanian Mathematical Competitions 2001
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Romanian Mathematical Competitions 2002
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Romanian Mathematical Competitions 2003
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Romanian Mathematical Competitions 2006

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Romanian Mathematical Competitions 2007
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Romanian Mathematical Competitions 2008
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Australian Mathematical Olympiads 1979-1995

(Enrichment Series, 12)
M. Lausch, A.J. Taylor

AMT Publishing | 1997 | 206 páginas | DjVu | 2,17 MB

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Descrição: This book is a complete collection of all Australian Mathematical Olympiad papers from the first paper in 1979 to 1995. Solutions to all of the problems are included and in a number of cases, alternative solutions are also offered.

Junior Balkan Mathematical Olympiads

Dan Branzei, loan Serdean, Vasile Serdean

Plus Publishing House | 2003 | 160 Páginas | DjVu (ocr) | 1,5 MB

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Descrição: This book is intended to help students preparing to participate in mathematical Olympiads for juniors. An international competition for students up to 15 and 1/2 years is hosted annually in one of the Balkan countries since 1997. In the first chapter are presented the problems from this six Olympiads. Each Olympiad test consists in four problems, which are to be done in four hours.
The book presents the tests used to select the Romanian team for the Junior Balkan Mathematical Olympiad. In addition, short-listed problems submitted to the Jury of JBMO, together with 20 training tests completes the content. Full solutions are provided for each of the 211 problems. It is our believe that students, teachers and all those who are mathematically incline will enjoy working these intriguing and challenging problems.

Mathematical Olympiad Challenges

Titu Andreescu, Razvan Gelca

Birkhauser | 2009 | 320 páginas | PDF | 13 Mb

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Descrição: This significantly 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 presented to stimulate further inquiry. The emphasis throughout is on creative solutions to open-ended problems.With many new or expanded examples, problems, and solutions, this second edition includes completely rewritten discussions preceding each of the 30 units, as well as a more user-friendly style with more accessible and inviting examples. Featuring enhanced motivation for advanced high school and beginning college students, as well as instructors and Olympiad coaches, this text can be used for creative problem-solving courses, for professional teacher development seminars and workshops, for self-study, or as a resource for training for mathematical competitions.

Mathematical Olympiad Treasures

Titu Andreescu, Bogdan Enescu

Birkhäuser Boston | 2003 | 234 páginas| djvu | 3,26 Mb

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Descrição: Mathematical Olympiad Treasures contains a stimulating collection of problems in geometry and trigonometry, algebra, number theory, and combinatorics. It encourages readers to think creatively about techniques and strategies for problem solving in the real world. The problems are clustered by topic into self-contained chapters. The book begins with elementary facts, followed by carefully selected problems and detailed, step-by-step solutions, which then lead to more complicated, challenging problems and their solutions. Reflecting the experience of two professors and coaches of Mathematical Olympiads, the text will be valuable to teachers, students, and puzzle enthusiasts.