Mathematics For Competitions

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First Steps for Math Olympians: Using the American Mathematics Competitions

Author : J. Douglas Faires
Publisher : American Mathematical Soc.
ISBN 13 : 1470451263
Total Pages : 307 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis First Steps for Math Olympians: Using the American Mathematics Competitions by : J. Douglas Faires

Download or read book First Steps for Math Olympians: Using the American Mathematics Competitions written by J. Douglas Faires and published by American Mathematical Soc.. This book was released on 2020-10-26 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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!

Competition Math for Middle School

Author : Jason Batteron
Publisher :
ISBN 13 : 9781934124208
Total Pages : pages
Book Rating : 4.1/5 (242 download)

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Book Synopsis Competition Math for Middle School by : Jason Batteron

Download or read book Competition Math for Middle School written by Jason Batteron and published by . This book was released on 2011-01-01 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Stanford Mathematics Problem Book

Author : George Polya
Publisher : Courier Corporation
ISBN 13 : 048631832X
Total Pages : 80 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis The Stanford Mathematics Problem Book by : George Polya

Download or read book The Stanford Mathematics Problem Book written by George Polya and published by Courier Corporation. This book was released on 2013-04-09 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on Stanford University's well-known competitive exam, this excellent mathematics workbook offers students at both high school and college levels a complete set of problems, hints, and solutions. 1974 edition.

New Mexico Mathematics Contest Problem Book

Author : Liong-shin Hahn
Publisher : UNM Press
ISBN 13 : 9780826335340
Total Pages : 220 pages
Book Rating : 4.3/5 (353 download)

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Book Synopsis New Mexico Mathematics Contest Problem Book by : Liong-shin Hahn

Download or read book New Mexico Mathematics Contest Problem Book written by Liong-shin Hahn and published by UNM Press. This book was released on 2005 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: The New Mexico Mathematics Contest for high-school students has been held annually since 1966. Each November, thousands of middle- and high-school students from all over New Mexico converge to battle with elementary but tricky math problems. The 200 highest-scoring students meet for the second round the following February at the University of New Mexico in Albuquerque where they listen to a prominent mathematician give a keynote lecture, have lunch, and then get down to round two, an even more challenging set of mathematical mind-twisters. Liong-shin Hahn was charged with the task of creating a new set of problems each year for the New Mexico Mathematics Contest, 1990-1999. In this volume, Hahn has collected the 138 best problems to appear in these contests over the last decades. They range from the simple to the highly challenging--none are trivial. The solutions contain many clever analyses and often display uncommon ingenuity. His questions are always interesting and relevant to teenage contestants. Young people training for competitions will not only learn a great deal of useful mathematics from this book but, and this is much more important, they will take a step toward learning to love mathematics.

Undergraduate Mathematics Competitions (1995–2016)

Author : Volodymyr Brayman
Publisher : Springer
ISBN 13 : 3319586734
Total Pages : 228 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Undergraduate Mathematics Competitions (1995–2016) by : Volodymyr Brayman

Download or read book Undergraduate Mathematics Competitions (1995–2016) written by Volodymyr Brayman and published by Springer. This book was released on 2017-06-25 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Versatile and comprehensive in content, this book of problems will appeal to students in nearly all areas of mathematics. The text offers original and advanced problems proposed from 1995 to 2016 at the Mathematics Olympiads. Essential for undergraduate students, PhD students, and instructors, the problems in this book vary in difficulty and cover most of the obligatory courses given at the undergraduate level, including calculus, algebra, geometry, discrete mathematics, measure theory, complex analysis, differential equations, and probability theory. Detailed solutions to all of the problems from Part I are supplied in Part II, giving students the ability to check their solutions and observe new and unexpected ideas. Most of the problems in this book are not technical and allow for a short and elegant solution. The problems given are unique and non-standard; solving the problems requires a creative approach as well as a deep understanding of the material. Nearly all of the problems are originally authored by lecturers, PhD students, senior undergraduates, and graduate students of the mechanics and mathematics faculty of Taras Shevchenko National University of Kyiv as well as by many others from Belgium, Canada, Great Britain, Hungary, and the United States.

Contests in Higher Mathematics

Author : Gabor J. Szekely
Publisher : Springer Science & Business Media
ISBN 13 : 1461207339
Total Pages : 576 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Contests in Higher Mathematics by : Gabor J. Szekely

Download or read book Contests in Higher Mathematics written by Gabor J. Szekely and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Invitation to Mathematics

Author : Dierk Schleicher
Publisher : Springer Science & Business Media
ISBN 13 : 3642195334
Total Pages : 225 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis An Invitation to Mathematics by : Dierk Schleicher

Download or read book An Invitation to Mathematics written by Dierk Schleicher and published by Springer Science & Business Media. This book was released on 2011-05-19 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Invitation to Mathematics consists of 14 contributions, many from the world's leading mathematicians, which introduce the readers to exciting aspects of current mathematical research. The contributions are as varied as the personalities of active mathematicians, but together they show mathematics as a rich and lively field of research. The contributions are written for interested students at the age of transition between high school and university who know high school mathematics and perhaps competition mathematics and who want to find out what current research mathematics is about. We hope that it will also be of interest to teachers or more advanced mathematicians who would like to learn about exciting aspects of mathematics outside of their own work or specialization. Together with a team of young ``test readers'', editors and authors have taken great care, through a substantial ``active editing'' process, to make the contributions understandable by the intended readership.

A Primer for Mathematics Competitions

Author : Alexander Zawaira
Publisher : OUP Oxford
ISBN 13 : 0191561703
Total Pages : 368 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis A Primer for Mathematics Competitions by : Alexander Zawaira

Download or read book A Primer for Mathematics Competitions written by Alexander Zawaira and published by OUP Oxford. This book was released on 2008-10-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of mathematics competitions has been widely recognised for three reasons: they help to develop imaginative capacity and thinking skills whose value far transcends mathematics; they constitute the most effective way of discovering and nurturing mathematical talent; and they provide a means to combat the prevalent false image of mathematics held by high school students, as either a fearsomely difficult or a dull and uncreative subject. This book provides a comprehensive training resource for competitions from local and provincial to national Olympiad level, containing hundreds of diagrams, and graced by many light-hearted cartoons. It features a large collection of what mathematicians call "beautiful" problems - non-routine, provocative, fascinating, and challenging problems, often with elegant solutions. It features careful, systematic exposition of a selection of the most important topics encountered in mathematics competitions, assuming little prior knowledge. Geometry, trigonometry, mathematical induction, inequalities, Diophantine equations, number theory, sequences and series, the binomial theorem, and combinatorics - are all developed in a gentle but lively manner, liberally illustrated with examples, and consistently motivated by attractive "appetiser" problems, whose solution appears after the relevant theory has been expounded. Each chapter is presented as a "toolchest" of instruments designed for cracking the problems collected at the end of the chapter. Other topics, such as algebra, co-ordinate geometry, functional equations and probability, are introduced and elucidated in the posing and solving of the large collection of miscellaneous problems in the final toolchest. An unusual feature of this book is the attention paid throughout to the history of mathematics - the origins of the ideas, the terminology and some of the problems, and the celebration of mathematics as a multicultural, cooperative human achievement. As a bonus the aspiring "mathlete" may encounter, in the most enjoyable way possible, many of the topics that form the core of the standard school curriculum.

The Contest Problem Book IX

Author : David Wells
Publisher : American Mathematical Society
ISBN 13 : 1470454912
Total Pages : 220 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis The Contest Problem Book IX by : David Wells

Download or read book The Contest Problem Book IX written by David Wells and published by American Mathematical Society. This book was released on 2021-02-22 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the ninth book of problems and solutions from the American Mathematics Competitions (AMC) contests. It chronicles 325 problems from the thirteen AMC 12 contests given in the years between 2001 and 2007. The authors were the joint directors of the AMC 12 and the AMC 10 competitions during that period. The problems have all been edited to ensure that they conform to the current style of the AMC 12 competitions. Graphs and figures have been redrawn to make them more consistent in form and style, and the solutions to the problems have been both edited and supplemented. A problem index at the back of the book classifies the problems into subject areas of Algebra, Arithmetic, Complex Numbers, Counting, Functions, Geometry, Graphs, Logarithms, Logic, Number Theory, Polynomials, Probability, Sequences, Statistics, and Trigonometry. A problem that uses a combination of these areas is listed multiple times. The problems on these contests are posed by members of the mathematical community in the hope that all secondary school students will have an opportunity to participate in problem-solving and an enriching mathematical experience.

University of Toronto Mathematics Competition (2001–2015)

Author : Edward J. Barbeau
Publisher : Springer
ISBN 13 : 3319281062
Total Pages : 207 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis University of Toronto Mathematics Competition (2001–2015) by : Edward J. Barbeau

Download or read book University of Toronto Mathematics Competition (2001–2015) written by Edward J. Barbeau and published by Springer. This book was released on 2016-04-13 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text records the problems given for the first 15 annual undergraduate mathematics competitions, held in March each year since 2001 at the University of Toronto. Problems cover areas of single-variable differential and integral calculus, linear algebra, advanced algebra, analytic geometry, combinatorics, basic group theory, and number theory. The problems of the competitions are given in chronological order as presented to the students. The solutions appear in subsequent chapters according to subject matter. Appendices recall some background material and list the names of students who did well. The University of Toronto Undergraduate Competition was founded to provide additional competition experience for undergraduates preparing for the Putnam competition, and is particularly useful for the freshman or sophomore undergraduate. Lecturers, instructors, and coaches for mathematics competitions will find this presentation useful. Many of the problems are of intermediate difficulty and relate to the first two years of the undergraduate curriculum. The problems presented may be particularly useful for regular class assignments. Moreover, this text contains problems that lie outside the regular syllabus and may interest students who are eager to learn beyond the classroom.

American Mathematics Competitions (AMC 10) Preparation (Volume 3)

Author : Yongcheng Chen
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781519207777
Total Pages : 0 pages
Book Rating : 4.2/5 (77 download)

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Book Synopsis American Mathematics Competitions (AMC 10) Preparation (Volume 3) by : Yongcheng Chen

Download or read book American Mathematics Competitions (AMC 10) Preparation (Volume 3) written by Yongcheng Chen and published by Createspace Independent Publishing Platform. This book was released on 2016 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book can be used by 6th to 10th grade students preparing for AMC 10. Each chapter consists of (1) basic skill and knowledge section with examples, (2) plenty of exercise problems, and (3) detailed solutions to all problems. Training class is offered: http: //www.mymathcounts.com/Copied-2015-Summer-AMC-10-Training-Program.php

Euclidean Geometry in Mathematical Olympiads

Author : Evan Chen
Publisher : American Mathematical Soc.
ISBN 13 : 1470466201
Total Pages : 311 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Euclidean Geometry in Mathematical Olympiads by : Evan Chen

Download or read book Euclidean Geometry in Mathematical Olympiads written by Evan Chen and published by American Mathematical Soc.. This book was released on 2021-08-23 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Practical Guide to Math Competitions

Author : Annabel Zhou
Publisher :
ISBN 13 : 9781735028811
Total Pages : pages
Book Rating : 4.0/5 (288 download)

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Book Synopsis A Practical Guide to Math Competitions by : Annabel Zhou

Download or read book A Practical Guide to Math Competitions written by Annabel Zhou and published by . This book was released on 2020-07 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is mostly for high school students who are interested in math competitions. Such competitions are not easy. You have most likely learned many concepts, formulas, theorems, and general information about several different areas of math during your middle school and high school years, but you may not know how to apply all that knowledge to solve the difficult and daunting problems in competitions. This book helps bridge the gap between math classes and math competitions. In addition, it will help you build intuition and develop strong problem-solving skills beyond reciting formulas or doing calculations. Such skills make it much easier to simplify and solve math problems, and are immensely valuable in your future study of any fields and careers that you may pursue as well. It is important to note, however, that this book does not teach you algebra, number theory, counting, probability, or geometry. We review essential knowledge about such topics, but it is assumed that you already have a solid grasp of them.

American Mathematics Competitions (AMC 8) Preparation (Volume 2)

Author : Jane Chen
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781500965631
Total Pages : 0 pages
Book Rating : 4.9/5 (656 download)

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Book Synopsis American Mathematics Competitions (AMC 8) Preparation (Volume 2) by : Jane Chen

Download or read book American Mathematics Competitions (AMC 8) Preparation (Volume 2) written by Jane Chen and published by Createspace Independent Publishing Platform. This book was released on 2014-10-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book can be used by 5th to 8th grade students preparing for AMC 8. Each chapter consists of (1) basic skill and knowledge section with plenty of examples, (2) about 30 exercise problems, and (3) detailed solutions to all problems. Training class is offered: http://www.mymathcounts.com/Copied-2015-Summer-AMC-8-Online-Training-Program.php

Concepts in Competitive Mathematics

Author : Zachary M. Boazman
Publisher : Zachary Boazman
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4./5 ( download)

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Book Synopsis Concepts in Competitive Mathematics by : Zachary M. Boazman

Download or read book Concepts in Competitive Mathematics written by Zachary M. Boazman and published by Zachary Boazman. This book was released on 2010-05-27 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This short reference book contains fundamental concepts crucial to solving math competition problems such as those found on the Mathematical Association of America's AMC 10, AMC 12, and AIME, as well as those found in local or regional competitions. Full of formulas as well as examples and solutions, this book shows how specific problems can be best solved in order to succeed in math competitions. Content is organized by mathematical topic and has been selected for its diversity. Topics include Number Theory, Combinatorics, Probability, Statistics, Sequences and Series, Algebra, Geometry, Trigonometry, and Coordinate Mathematics. The book even contains a section containing the author's own tips from past experience in math competitions. All in all, this is a must buy for math competition participants and teachers alike. Contains: Nine Chapters, Table of Contents, Index.

Elementary Methods in Number Theory

Author : Melvyn B. Nathanson
Publisher : Springer Science & Business Media
ISBN 13 : 0387227385
Total Pages : 514 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Elementary Methods in Number Theory by : Melvyn B. Nathanson

Download or read book Elementary Methods in Number Theory written by Melvyn B. Nathanson and published by Springer Science & Business Media. This book was released on 2008-01-11 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the distribution of prime numbers are covered. Of particular interest is the inclusion of a proof for one of the most famous results in mathematics, the prime number theorem. With many examples and exercises, and only requiring knowledge of a little calculus and algebra, this book will suit individuals with imagination and interest in following a mathematical argument to its conclusion.

Analysis II

Author : Terence Tao
Publisher : Hindustan Book Agency
ISBN 13 : 9789380250656
Total Pages : 0 pages
Book Rating : 4.2/5 (56 download)

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Book Synopsis Analysis II by : Terence Tao

Download or read book Analysis II written by Terence Tao and published by Hindustan Book Agency. This book was released on 2016-09-26 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book discusses the basics of analysis (limits, series, continuity, differentiation, Riemann integration), through to power series, several variable calculus and Fourier analysis, and then finally the Lebesgue integral. These are almost entirely set in the concrete setting of the real line and Euclidean spaces, although there is some material on abstract metric and topological spaces. The book also has appendices on mathematical logic and the decimal system. The entire text (omitting some less central topics) can be taught in two quarters of 25–30 lectures each. The course material is deeply intertwined with the exercises, as it is intended that the student actively learn the material (and practice thinking and writing rigorously) by proving several of the key results in the theory.