Problem Solving Methods And Strategies In High School Mathematical Competitions

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Problem Solving Methods And Strategies In High School Mathematical Competitions

Author : Bin Xiong
Publisher : World Scientific
ISBN 13 : 9811277443
Total Pages : 301 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Problem Solving Methods And Strategies In High School Mathematical Competitions by : Bin Xiong

Download or read book Problem Solving Methods And Strategies In High School Mathematical Competitions written by Bin Xiong and published by World Scientific. This book was released on 2023-12-14 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book not only introduces important methods and strategies for solving problems in mathematics competition, but also discusses the basic principles behind them and the mathematical way of thinking.It may be used as a valuable textbook for a mathematics competition course or a mathematics education course at undergraduate and graduate level. It can also serve as a reference book for students and teachers in primary and secondary schools.The materials of this book come from a book series of Mathematical Olympiad Competition. It is a collection of problems and solutions of the major mathematical competitions in China. The translation is done by Yongming Liu.The authors are mathematical competition teachers and researchers, many China's national team coaches and national team leaders. Many techniques and approaches in the book come directly from their own research results.

Problem-Solving Strategies

Author : Arthur Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 404 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problem-Solving Strategies by : Arthur Engel

Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

Cracking the Hich School Math Competitions Solutions Manual

Author : Kevin Wang
Publisher :
ISBN 13 : 9781944863012
Total Pages : 156 pages
Book Rating : 4.8/5 (63 download)

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Book Synopsis Cracking the Hich School Math Competitions Solutions Manual by : Kevin Wang

Download or read book Cracking the Hich School Math Competitions Solutions Manual written by Kevin Wang and published by . This book was released on 2016-02-01 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the curriculum materials of the Math Challenge courses at Areteem Institute. The math competitions for middle and high school students generally do not involve college mathematics such as calculus and linear algebra. There are four main topics covered in the competitions: Number Theory, Algebra, Geometry, and Combinatorics. The problems in the math competitions are usually challenging problems for which conventional methods are not sufficient, and students are required to use more creative ways to combine the methods they have learned to solve these problems. The companion book, "Cracking the High School Math Competitions," covers these topics, along with fundamental concepts required and problem solving strategies useful for solving problems in the math competitions such as AMC 10 & 12, ARML, and ZIML Division JV. This book provides complete solutions to the problems in the aforementioned book. For information about Areteem Institute, visit http: //www.areteem.org.

Problems And Solutions In Mathematical Olympiad (High School 1)

Author : Bin Xiong
Publisher : World Scientific
ISBN 13 : 9811229872
Total Pages : 580 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Problems And Solutions In Mathematical Olympiad (High School 1) by : Bin Xiong

Download or read book Problems And Solutions In Mathematical Olympiad (High School 1) written by Bin Xiong and published by World Scientific. This book was released on 2022-04-07 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.

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.

Cracking the Hich School Math Competitions

Author : Kevin Wang
Publisher :
ISBN 13 : 9781944863005
Total Pages : pages
Book Rating : 4.8/5 (63 download)

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Book Synopsis Cracking the Hich School Math Competitions by : Kevin Wang

Download or read book Cracking the Hich School Math Competitions written by Kevin Wang and published by . This book was released on 2016-01-20 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the curriculum materials of the Math Challenge courses at Areteem Institute. The math competitions for middle and high school students generally do not involve college mathematics such as calculus and linear algebra. There are four main topics covered in the competitions: Number Theory, Algebra, Geometry, and Combinatorics. The problems in the math competitions are usually challenging problems for which conventional methods are not sufficient, and students are required to use more creative ways to combine the methods they have learned to solve these problems. This book covers these topics, along with fundamental concepts required and problem solving strategies useful for solving problems in the math competitions such as AMC 10 & 12, ARML, and ZIML Division JV. For information about Areteem Institute, visit http: //www.areteem.org.

Challenging Problems from Around the World Vol. 2

Author : Richard Hammond
Publisher : Independently Published
ISBN 13 : 9781095887875
Total Pages : 119 pages
Book Rating : 4.8/5 (878 download)

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Book Synopsis Challenging Problems from Around the World Vol. 2 by : Richard Hammond

Download or read book Challenging Problems from Around the World Vol. 2 written by Richard Hammond and published by Independently Published. This book was released on 2019-04-25 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many countries around the world that hold Mathematics Competitions. The Competitions are extremely interesting since many professors try to create new interesting problems. If you want to take part in these competitions, you have to solve many problems. That means you must master your problem-solving skills. Challenging Problems from Around the World Vol 2 is a selected problem book. This book has only two chapters. The first chapter of this book is a collection of problems. We select many good problems from different sources. Most of them used to appear in Mathematics Competitions. In this part, we want the readers try their best to solve the problems. Remember that only a few people can solve all problems in this book. So, do not be up set if you cannot solve some problems. Even we cannot solve problems, we still gain some techniques in solving problems. The readers should keep in mind that the only way in learning Mathematics is to do Mathematics. The second chapter of this book was written about the solution to each problem that listed in the first chapter. We try to solve the problems step by step. We believe that the solutions will help the readers to understand well. Reading through this part, we hope the readers will learn many problem-solving strategies. Let this book be your close friend when you learn about Mathematics. We hope the readers have a great journey in reading this book. Richard S.Hammond

Introduction to Math Olympiad Problems

Author : Michael A. Radin
Publisher : CRC Press
ISBN 13 : 1000396665
Total Pages : 160 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Introduction to Math Olympiad Problems by : Michael A. Radin

Download or read book Introduction to Math Olympiad Problems written by Michael A. Radin and published by CRC Press. This book was released on 2021-06-24 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

First Steps for Math Olympians

Author : J. Douglas Faires
Publisher : MAA
ISBN 13 : 9780883858240
Total Pages : 344 pages
Book Rating : 4.8/5 (582 download)

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Book Synopsis First Steps for Math Olympians by : J. Douglas Faires

Download or read book First Steps for Math Olympians written by J. Douglas Faires and published by MAA. This book was released on 2006-12-21 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions have been given for more than fifty years to millions of 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 preparing for the Mathematical Olympiads will find many useful ideas here, but people generally interested in logical problem solving should also find the problems and their solutions stimulating. The book can be used either for self-study or as topic-oriented material and samples of problems for practice exams. Useful reading for anyone who enjoys solving mathematical problems, and equally valuable for educators or parents who have children with mathematical interest and ability.

Introduction to Functional Equations

Author : Costas Efthimiou
Publisher : American Mathematical Soc.
ISBN 13 : 0821853147
Total Pages : 381 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Introduction to Functional Equations by : Costas Efthimiou

Download or read book Introduction to Functional Equations written by Costas Efthimiou and published by American Mathematical Soc.. This book was released on 2011-10-13 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functions and their properties have been part of the rigorous precollege curriculum for decades. And functional equations have been a favorite topic of the leading national and international mathematical competitions. Yet the subject has not received equal attention by authors at an introductory level. The majority of the books on the topic remain unreachable to the curious and intelligent precollege student. The present book is an attempt to eliminate this disparity. The book opens with a review chapter on functions, which collects the relevant foundational information on functions, plus some material potentially new to the reader. The next chapter presents a working definition of functional equations and explains the difficulties in trying to systematize the theory. With each new chapter, the author presents methods for the solution of a particular group of equations. Each chapter is complemented with many solved examples, the majority of which are taken from mathematical competitions and professional journals. The book ends with a chapter of unsolved problems and some other auxiliary material. The book is an invaluable resource for precollege and college students who want to deepen their knowledge of functions and their properties, for teachers and instructors who wish to enrich their curricula, and for any lover of mathematical problem-solving techniques. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.

Problem-Solving Through Problems

Author : Loren C. Larson
Publisher : Springer Science & Business Media
ISBN 13 : 1461254981
Total Pages : 322 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Problem-Solving Through Problems by : Loren C. Larson

Download or read book Problem-Solving Through Problems written by Loren C. Larson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.

Methods of Solving Nonstandard Problems

Author : Ellina Grigorieva
Publisher : Birkhäuser
ISBN 13 : 3319198874
Total Pages : 349 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Methods of Solving Nonstandard Problems by : Ellina Grigorieva

Download or read book Methods of Solving Nonstandard Problems written by Ellina Grigorieva and published by Birkhäuser. This book was released on 2015-09-17 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation for the mathematics Olympiad. Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions. The author uses a friendly, non-intimidating approach to emphasize connections between different fields of mathematics and often proposes several different ways to attack the same problem. Topics covered include functions and their properties, polynomials, trigonometric and transcendental equations and inequalities, optimization, differential equations, nonlinear systems, and word problems. Over 360 problems are included with hints, answers, and detailed solutions. Methods of Solving Nonstandard Problems will interest high school and college students, whether they are preparing for a math competition or looking to improve their mathematical skills, as well as anyone who enjoys an intellectual challenge and has a special love for mathematics. Teachers and college professors will be able to use it as an extra resource in the classroom to augment a conventional course of instruction in order to stimulate abstract thinking and inspire original thought.

Putnam and Beyond

Author : Răzvan Gelca
Publisher : Springer
ISBN 13 : 3319589881
Total Pages : 857 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Putnam and Beyond by : Răzvan Gelca

Download or read book Putnam and Beyond written by Răzvan Gelca and published by Springer. This book was released on 2017-09-19 with total page 857 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Problems And Solutions In Mathematical Olympiad (High School 2)

Author : Shi-xiong Liu
Publisher : World Scientific
ISBN 13 : 9811229902
Total Pages : 607 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Problems And Solutions In Mathematical Olympiad (High School 2) by : Shi-xiong Liu

Download or read book Problems And Solutions In Mathematical Olympiad (High School 2) written by Shi-xiong Liu and published by World Scientific. This book was released on 2022-04-08 with total page 607 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is edited by the head coaches of China's IMO National Team. Each volume, catering to different grades, is contributed by the senior coaches of the IMO National Team. The Chinese edition has won the award of Top 50 Most Influential Educational Brands in China.The series is created in line with the mathematics cognition and intellectual development levels of the students in the corresponding grades. All hot mathematics topics of the competition are included in the volumes and are organized into chapters where concepts and methods are gradually introduced to equip the students with necessary knowledge until they can finally reach the competition level.In each chapter, well-designed problems including those collected from real competitions are provided so that the students can apply the skills and strategies they have learned to solve these problems. Detailed solutions are provided selectively. As a feature of the series, we also include some solutions generously offered by the members of Chinese national team and national training team.

Elementary Methods in Number Theory

Author : Melvyn B. Nathanson
Publisher : Springer Science & Business Media
ISBN 13 : 0387227385
Total Pages : 518 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 518 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.

Challenging Problems from Around the World Vol. 1: Math Olympiad Contest Problems

Author : Richard S. Hammond
Publisher : Independently Published
ISBN 13 : 9781724188533
Total Pages : 116 pages
Book Rating : 4.1/5 (885 download)

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Book Synopsis Challenging Problems from Around the World Vol. 1: Math Olympiad Contest Problems by : Richard S. Hammond

Download or read book Challenging Problems from Around the World Vol. 1: Math Olympiad Contest Problems written by Richard S. Hammond and published by Independently Published. This book was released on 2018-09-30 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many countries around the world that hold Mathematics Competitions. The Competitions are extremely interesting since many professors try to create new interesting problems. If you want to take part in these competitions, you have to solve many problems. That means you must master your problem-solving skills. Challenging Problems from Around the World Vol 1 is a selected problem book. This book has only two chapters. The first chapter of this book is a collection of problems. We select many good problems from different sources. Most of them used to appear in Mathematics Competitions. In this part, we want the readers try their best to solve the problems. Remember that only a few people can solve all problems in this book. So, do not be up set if you cannot solve some problems. Even we cannot solve problems, we still gain some techniques in solving problems. The readers should keep in mind that the only way in learning Mathematics is to do Mathematics. The second chapter of this book was written about the solution to each problem that listed in the first chapter. We try to solve the problems step by step. We believe that the solutions will help the readers to understand well. Reading through this part, we hope the readers will learn many problem-solving strategies. Let this book be your close friend when you learn about Mathematics. We hope the readers have a great journey in reading this book. Richard S.Hammond

Mathematical Olympiad In China (2021-2022): Problems And Solutions

Author :
Publisher : World Scientific
ISBN 13 : 9811292205
Total Pages : 433 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematical Olympiad In China (2021-2022): Problems And Solutions by :

Download or read book Mathematical Olympiad In China (2021-2022): Problems And Solutions written by and published by World Scientific. This book was released on 2024-03-19 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: In China, many excellent students in mathematics take an active part in various mathematical contests, and each year, the best six senior high school students are selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years, China's IMO Team has achieved outstanding results — they won first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Xiao Liang, Yu Hongbing, Yao Yijun, Qu Zhenhua, Li Ting, Ai Yinhua, Wang Bin, Fu Yunhao, He Yijie, Zhang Sihui, Wang Xinmao, Lin Tianqi, Xu Disheng, et al. Those who took part in the translation work are Chen Haoran and Zhao Wei.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: a collection of mathematical Olympiad problems (2021-2022). It is a collection of problems and solutions of the major mathematical competitions in China. It provides a glimpse of how the China national team is selected and formed.