Sequences And Mathematical Inductionin Mathematical Olympiad And Competitions 2nd Edition

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Sequences And Mathematical Induction:in Mathematical Olympiad And Competitions (2nd Edition)

Author : Zhi-gang Feng
Publisher : World Scientific
ISBN 13 : 9811211051
Total Pages : 224 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Sequences And Mathematical Induction:in Mathematical Olympiad And Competitions (2nd Edition) by : Zhi-gang Feng

Download or read book Sequences And Mathematical Induction:in Mathematical Olympiad And Competitions (2nd Edition) written by Zhi-gang Feng and published by World Scientific. This book was released on 2019-10-08 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: In China, lots of excellent maths students takes an active part in various maths contests and the best six senior high school students will be 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 have won the first place almost every year.The author is one of the senior coaches of China's IMO National Team, he is the headmaster of Shanghai senior high school which is one of the best high schools of China. In the past decade, the students of this school have won the IMO gold medals almost every year.The author attempts to use some common characteristics of sequence and mathematical induction to fundamentally connect Math Olympiad problems to particular branches of mathematics. In doing so, the author hopes to reveal the beauty and joy involved with math exploration and at the same time, attempts to arouse readers' interest of learning math and invigorate their courage to challenge themselves with difficult problems.

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.

Combinatorial Problems in Mathematical Competitions

Author : Yao Zhang
Publisher : World Scientific
ISBN 13 : 9812839496
Total Pages : 303 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Combinatorial Problems in Mathematical Competitions by : Yao Zhang

Download or read book Combinatorial Problems in Mathematical Competitions written by Yao Zhang and published by World Scientific. This book was released on 2011 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. This text provides basic knowledge on how to solve combinatorial problems in mathematical competitions, and also introduces important solutions to combinatorial problems and some typical problems with often-used solutions.

Geometric Inequalities

Author : Gangsong Leng
Publisher : World Scientific Publishing Company
ISBN 13 : 9814696501
Total Pages : 144 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Geometric Inequalities by : Gangsong Leng

Download or read book Geometric Inequalities written by Gangsong Leng and published by World Scientific Publishing Company. This book was released on 2015-10-21 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In China, lots of excellent maths students take an active interest in various maths contests and the best six senior high school students will be 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 the first place almost every year. The author is one of the coaches of China's IMO National Team, whose students have won many gold medals many times in IMO. This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. The book elaborates on Geometric Inequality problems such as inequality for the inscribed quadrilateral, the area inequality for special polygons, linear geometric inequalities, etc.

A First Step to Mathematical Olympiad Problems

Author : Derek Holton
Publisher : World Scientific Publishing Company
ISBN 13 : 9814365254
Total Pages : 292 pages
Book Rating : 4.8/5 (143 download)

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Book Synopsis A First Step to Mathematical Olympiad Problems by : Derek Holton

Download or read book A First Step to Mathematical Olympiad Problems written by Derek Holton and published by World Scientific Publishing Company. This book was released on 2009-07-30 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Second Step To Mathematical Olympiad Problems

Author : Derek Allan Holton
Publisher : World Scientific Publishing Company
ISBN 13 : 9813100737
Total Pages : 312 pages
Book Rating : 4.8/5 (131 download)

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

Download or read book A Second Step To Mathematical Olympiad Problems written by Derek Allan Holton and published by World Scientific Publishing Company. This book was released on 2011-06-30 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: See also A FIRST 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 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.

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.

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.

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.

Hungarian Mathematical Olympiad (1964-1997): Problems And Solutions

Author : Fusheng Leng
Publisher : World Scientific
ISBN 13 : 9811255571
Total Pages : 308 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Hungarian Mathematical Olympiad (1964-1997): Problems And Solutions by : Fusheng Leng

Download or read book Hungarian Mathematical Olympiad (1964-1997): Problems And Solutions written by Fusheng Leng and published by World Scientific. This book was released on 2022-10-04 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about a famous Hungarian mathematics competition that was founded in 1894, and thus, the oldest mathematics competition for secondary school students organized on a national scale. This book is based on Volumes III and IV of the Hungarian work by János Surányi, covering the years from 1964 to 1997.Hungary, along with Russia, has a well-deserved reputation for proposing important, instructive, and interesting problems. Here, the reader will find a treasure trove of over 100 of them. The solutions are written carefully, giving all the details, and keeping in mind at all times the overall logical structures of the arguments.An outstanding feature of this book is Part II: Discussion. Here, the problems are divided by topics into six groups. It contains a discussion of the topic in general, followed by the basic results, that precedes the discussions of the individual problems. When a student encounters some difficulty in a problem, this part of the book can be consulted without revealing the complete solution. As an alternative, a student can also start with this part to familiarize with the general topic before attempting any problems. Finally, almost 400 additional problems from the legendary KöMaL (Secondary School Mathematics and Physics Journal) takes the student to mathematical topics beyond competitions.

Mathematical Olympiad In China (2019-2020): Problems And Solutions

Author : Bin Xiong
Publisher : World Scientific
ISBN 13 : 9811256349
Total Pages : 300 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematical Olympiad In China (2019-2020): Problems And Solutions by : Bin Xiong

Download or read book Mathematical Olympiad In China (2019-2020): Problems And Solutions written by Bin Xiong and published by World Scientific. This book was released on 2022-09-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In China, lots of excellent maths students take an active part in various maths contests and the best six senior high school students will be 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 the first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua et al. Those who took part in the translation work are Zhao Wei and Zhou Tianyou.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2019-2020). 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.

Mathematical Olympiad In China (2015-2016): Problems And Solutions

Author : Bin Xiong
Publisher : World Scientific
ISBN 13 : 9811250731
Total Pages : 207 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematical Olympiad In China (2015-2016): Problems And Solutions by : Bin Xiong

Download or read book Mathematical Olympiad In China (2015-2016): Problems And Solutions written by Bin Xiong and published by World Scientific. This book was released on 2022-06-23 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: In China, lots of excellent maths students takes an active part in various maths contests and the best six senior high school students will be 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 have always been among the top 3, in fact in the first place most of the time.The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua, et al. The translator of this book is Chen Xiaomin.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2015-2016). 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.

Mathematical Olympiad In China (2017-2018): Problems And Solutions

Author : Bin Xiong
Publisher : World Scientific
ISBN 13 : 9811256314
Total Pages : 300 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Mathematical Olympiad In China (2017-2018): Problems And Solutions by : Bin Xiong

Download or read book Mathematical Olympiad In China (2017-2018): Problems And Solutions written by Bin Xiong and published by World Scientific. This book was released on 2022-08-29 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: In China, lots of excellent maths students take an active part in various maths contests and the best six senior high school students will be 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 the first place almost every year.The authors of this book are coaches of the China national team. They are Xiong Bin, Yao Yijun, Qu Zhenhua, et al. Those who took part in the translation work are Wang Shanping and Chen Haoran.The materials of this book come from a series of two books (in Chinese) on Forward to IMO: A Collection of Mathematical Olympiad Problems (2017-2018). 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.

102 Combinatorial Problems

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817682228
Total Pages : 125 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis 102 Combinatorial Problems by : Titu Andreescu

Download or read book 102 Combinatorial Problems written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: "102 Combinatorial Problems" consists of carefully selected problems that have been used in the training and testing of the USA International Mathematical Olympiad (IMO) team. Key features: * Provides in-depth enrichment in the important areas of combinatorics by reorganizing and enhancing problem-solving tactics and strategies * Topics include: combinatorial arguments and identities, generating functions, graph theory, recursive relations, sums and products, probability, number theory, polynomials, theory of equations, complex numbers in geometry, algorithmic proofs, combinatorial and advanced geometry, functional equations and classical inequalities The book is systematically organized, gradually building combinatorial skills and techniques and broadening the student's view of mathematics. Aside from its practical use in training teachers and students engaged in mathematical competitions, it is a source of enrichment that is bound to stimulate interest in a variety of mathematical areas that are tangential to combinatorics.

Probability and Expectation

Author : Zun Shan
Publisher : World Scientific Publishing Company
ISBN 13 : 9813141514
Total Pages : 208 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Probability and Expectation by : Zun Shan

Download or read book Probability and Expectation written by Zun Shan and published by World Scientific Publishing Company. This book was released on 2016-07-14 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: In China, lots of excellent students who are good at maths take an active part in various maths contests and the best six senior high school students will be 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 have won the first place almost every year. The author is one of the senior coaches of China's IMO National Team, whose students have won many gold medals many times in IMO. This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. This book will, in an interesting problem-solving way, explain what probability theory is: its concepts, methods and meanings; particularly, two important concepts — probability and mathematical expectation (briefly expectation) — are emphasized. It consists of 65 problems, appended by 107 exercises and their answers.

Theory And Problems For Chemistry Olympiad: Challenging Concepts In Chemistry

Author : Zhihan Nan
Publisher : World Scientific
ISBN 13 : 9813239018
Total Pages : 557 pages
Book Rating : 4.8/5 (132 download)

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Book Synopsis Theory And Problems For Chemistry Olympiad: Challenging Concepts In Chemistry by : Zhihan Nan

Download or read book Theory And Problems For Chemistry Olympiad: Challenging Concepts In Chemistry written by Zhihan Nan and published by World Scientific. This book was released on 2019-11-19 with total page 557 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study guide for the Chemistry Olympiad contains summarized concepts and examples in all areas of chemistry. The chapters are arranged in a logical manner and establishes connections between concepts. Undergraduate chemistry concepts are explained clearly: every equation in physical chemistry is derived and justified while every organic reaction has its reaction mechanism shown and explained, without assuming that readers have university-level background in the subject. The book also contains original Chemistry Olympiad sample problems that readers may use to test their knowledge.This is a first book of its kind, written by Nan Zhihan, International Chemistry Olympiad (IChO) gold medallist and winner of the International Union of Pure and Applied Chemistry (IUPAC) Prize for achieving the highest score in the experimental exam, and experienced Chemistry Olympiad trainer Dr Zhang Sheng, who has served as head mentor of Singapore IChO team for many years. It builds on the experience of both a participant and trainer to help any aspiring Chemistry Olympiad student understand the challenging concepts in chemistry.

Mathematical Olympiad Treasures

Author : Titu Andreescu
Publisher : Springer Science & Business Media
ISBN 13 : 0817682538
Total Pages : 256 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Mathematical Olympiad Treasures by : Titu Andreescu

Download or read book Mathematical Olympiad Treasures written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2011-09-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.