Problem Solving Methods And Strategies In High School Mathematical Competitions

Problem Solving Methods And Strategies In High School Mathematical Competitions
Author :
Publisher : World Scientific
Total Pages : 301
Release :
ISBN-10 : 9789811277443
ISBN-13 : 9811277443
Rating : 4/5 (43 Downloads)

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

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

Problem-Solving Strategies
Author :
Publisher : Springer Science & Business Media
Total Pages : 404
Release :
ISBN-10 : 9780387226415
ISBN-13 : 0387226419
Rating : 4/5 (15 Downloads)

Synopsis Problem-Solving Strategies by : Arthur Engel

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.

Problems And Solutions In Mathematical Olympiad (High School 2)

Problems And Solutions In Mathematical Olympiad (High School 2)
Author :
Publisher : World Scientific
Total Pages : 607
Release :
ISBN-10 : 9789811229909
ISBN-13 : 9811229902
Rating : 4/5 (09 Downloads)

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

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

Euclidean Geometry in Mathematical Olympiads
Author :
Publisher : American Mathematical Soc.
Total Pages : 311
Release :
ISBN-10 : 9781470466206
ISBN-13 : 1470466201
Rating : 4/5 (06 Downloads)

Synopsis Euclidean Geometry in Mathematical Olympiads by : Evan Chen

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 First Step To Mathematical Olympiad Problems

A First Step To Mathematical Olympiad Problems
Author :
Publisher : World Scientific Publishing Company
Total Pages : 292
Release :
ISBN-10 : 9789814365253
ISBN-13 : 9814365254
Rating : 4/5 (53 Downloads)

Synopsis A First Step To Mathematical Olympiad Problems by : Derek Allan Holton

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.

Introduction to Functional Equations

Introduction to Functional Equations
Author :
Publisher : American Mathematical Soc.
Total Pages : 381
Release :
ISBN-10 : 9780821853146
ISBN-13 : 0821853147
Rating : 4/5 (46 Downloads)

Synopsis Introduction to Functional Equations by : Costas Efthimiou

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.

Elementary Methods in Number Theory

Elementary Methods in Number Theory
Author :
Publisher : Springer Science & Business Media
Total Pages : 518
Release :
ISBN-10 : 9780387227382
ISBN-13 : 0387227385
Rating : 4/5 (82 Downloads)

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

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.

Methods of Solving Nonstandard Problems

Methods of Solving Nonstandard Problems
Author :
Publisher : Birkhäuser
Total Pages : 349
Release :
ISBN-10 : 9783319198873
ISBN-13 : 3319198874
Rating : 4/5 (73 Downloads)

Synopsis Methods of Solving Nonstandard Problems by : Ellina Grigorieva

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.

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

Mathematical Olympiad In China (2021-2022): Problems And Solutions
Author :
Publisher : World Scientific
Total Pages : 433
Release :
ISBN-10 : 9789811292200
ISBN-13 : 9811292205
Rating : 4/5 (00 Downloads)

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

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.

Problem-Solving Through Problems

Problem-Solving Through Problems
Author :
Publisher : Springer Science & Business Media
Total Pages : 322
Release :
ISBN-10 : 9781461254980
ISBN-13 : 1461254981
Rating : 4/5 (80 Downloads)

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

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.