Introduction to Math Olympiad Problems

Introduction to Math Olympiad Problems
Author: Michael A. Radin
Publsiher: CRC Press
Total Pages: 160
Release: 2021-06-24
Genre: Mathematics
ISBN: 9781000396669

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Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra. Features: Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills Suitable for advanced high school students preparing for Math Olympiad competitions

A First Step to Mathematical Olympiad Problems

A First Step to Mathematical Olympiad Problems
Author: Derek Holton
Publsiher: World Scientific Publishing Company
Total Pages: 292
Release: 2009-07-30
Genre: Mathematics
ISBN: 9789814365253

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See also A SECOND STEP TO MATHEMATICAL OLYMPIAD PROBLEMS The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the first 8 of 15 booklets originally produced to guide students intending to contend for placement on their country's IMO team. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though A First Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions.

The Mathematical Olympiad Handbook

The Mathematical Olympiad Handbook
Author: A. Gardiner,Anthony Gardiner,A. (Reader in Mathematics Gardiner, Reader in Mathematics University of Birmingham)
Publsiher: Oxford Science Publications
Total Pages: 229
Release: 1997
Genre: Mathematics
ISBN: 0198501056

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The book contains problems from the first 32 British Mathematical Olympiad (BMO) papers 1965-96 and gives hints and outline solutions to each problem from 1975 onwards. An overview is given of the basic mathematical skills needed, and a list of books for further reading is provided. Working through the exercises provides a valuable source of extension and enrichment for all pupils and adults interested in mathematics.

The USSR Olympiad Problem Book

The USSR Olympiad Problem Book
Author: D. O. Shklarsky,N. N. Chentzov,I. M. Yaglom
Publsiher: Courier Corporation
Total Pages: 480
Release: 2013-04-15
Genre: Mathematics
ISBN: 9780486319865

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Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition.

A Second Step to Mathematical Olympiad Problems

A Second Step to Mathematical Olympiad Problems
Author: Derek Allan Holton
Publsiher: World Scientific
Total Pages: 299
Release: 2011
Genre: Mathematics
ISBN: 9789814327879

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The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the booklets originally produced to guide students intending to contend for placement on their country's IMO team. See also A First Step to Mathematical Olympiad Problems which was published in 2009. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though A Second Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions.

First Steps for Math Olympians Using the American Mathematics Competitions

First Steps for Math Olympians  Using the American Mathematics Competitions
Author: J. Douglas Faires
Publsiher: American Mathematical Soc.
Total Pages: 307
Release: 2020-10-26
Genre: Education
ISBN: 9781470451264

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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!

Challenging Problems in Algebra

Challenging Problems in Algebra
Author: Alfred S. Posamentier,Charles T. Salkind
Publsiher: Courier Corporation
Total Pages: 288
Release: 2012-05-04
Genre: Mathematics
ISBN: 9780486131542

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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.

Euclidean Geometry in Mathematical Olympiads

Euclidean Geometry in Mathematical Olympiads
Author: Evan Chen
Publsiher: American Mathematical Soc.
Total Pages: 311
Release: 2021-08-23
Genre: Education
ISBN: 9781470466206

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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.

Inequalities

Inequalities
Author: Radmila Bulajich Manfrino,José Antonio Gómez Ortega,Rogelio Valdez Delgado
Publsiher: Springer Science & Business Media
Total Pages: 220
Release: 2010-01-01
Genre: Mathematics
ISBN: 9783034600507

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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.

A First Step to Mathematical Olympiad Problems

A First Step to Mathematical Olympiad Problems
Author: Derek Allan Holton
Publsiher: World Scientific Publishing Company Incorporated
Total Pages: 279
Release: 2010
Genre: Mathematics
ISBN: 9814273872

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The International Mathematical Olympiad (IMO) is an annual international mathematics competition held for pre-collegiate students. It is also the oldest of the international science olympiads, and competition for places is particularly fierce. This book is an amalgamation of the first 8 of 15 booklets originally produced to guide students intending to contend for placement on their country's IMO team. The material contained in this book provides an introduction to the main mathematical topics covered in the IMO, which are: Combinatorics, Geometry and Number Theory. In addition, there is a special emphasis on how to approach unseen questions in Mathematics, and model the writing of proofs. Full answers are given to all questions. Though A First Step to Mathematical Olympiad Problems is written from the perspective of a mathematician, it is written in a way that makes it easily comprehensible to adolescents. This book is also a must-read for coaches and instructors of mathematical competitions.

Winning Solutions

Winning Solutions
Author: Edward Lozansky,Cecil Rousseau
Publsiher: Springer Science & Business Media
Total Pages: 260
Release: 2012-12-06
Genre: Mathematics
ISBN: 9781461240341

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This book provides the mathematical tools and problem-solving experience needed to successfully compete in high-level problem solving competitions. Each section presents important background information and then provides a variety of worked examples and exercises to help bridge the gap between what the reader may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises.

Mathematical Olympiad Challenges

Mathematical Olympiad Challenges
Author: Titu Andreescu,Razvan Gelca
Publsiher: Springer Science & Business Media
Total Pages: 283
Release: 2008-12-04
Genre: Mathematics
ISBN: 9780817646110

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Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory Historical insights and asides are presented to stimulate further inquiry Emphasis is on creative solutions to open-ended problems Many examples, problems and solutions, with a user-friendly and accessible style Enhanced motivatio References

Solving Mathematical Problems

Solving Mathematical Problems
Author: Terence Tao
Publsiher: OUP Oxford
Total Pages: 116
Release: 2006-07-28
Genre: Mathematics
ISBN: 9780191568695

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Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the tactics involved in solving mathematical problems at the Mathematical Olympiad level. With numerous exercises and assuming only basic mathematics, this text is ideal for students of 14 years and above in pure mathematics.

Introduction to Algebra

Introduction to Algebra
Author: Richard Rusczyk
Publsiher: Unknown
Total Pages: 656
Release: 2009
Genre: Algebra
ISBN: 1934124141

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Introduction to Counting and Probability

Introduction to Counting and Probability
Author: David Patrick
Publsiher: Aops Incorporated
Total Pages: 243
Release: 2007-08-01
Genre: Mathematics
ISBN: 1934124109

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