Problems Of Number Theory In Mathematical Competitions
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Author |
: Hong-Bing Yu |
Publisher |
: World Scientific |
Total Pages |
: 115 |
Release |
: 2010 |
ISBN-10 |
: 9789814271141 |
ISBN-13 |
: 9814271144 |
Rating |
: 4/5 (41 Downloads) |
Synopsis Problems of Number Theory in Mathematical Competitions by : Hong-Bing Yu
Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.
Author |
: Hong-bing Yu |
Publisher |
: World Scientific Publishing Company |
Total Pages |
: 116 |
Release |
: 2009-09-16 |
ISBN-10 |
: 9789813101081 |
ISBN-13 |
: 9813101083 |
Rating |
: 4/5 (81 Downloads) |
Synopsis Problems Of Number Theory In Mathematical Competitions by : Hong-bing Yu
Number theory is an important research field of mathematics. In mathematical competitions, problems of elementary number theory occur frequently. These problems use little knowledge and have many variations. They are flexible and diverse. In this book, the author introduces some basic concepts and methods in elementary number theory via problems in mathematical competitions. Readers are encouraged to try to solve the problems by themselves before they read the given solutions of examples. Only in this way can they truly appreciate the tricks of problem-solving.
Author |
: Yao Zhang |
Publisher |
: World Scientific |
Total Pages |
: 303 |
Release |
: 2011 |
ISBN-10 |
: 9789812839497 |
ISBN-13 |
: 9812839496 |
Rating |
: 4/5 (97 Downloads) |
Synopsis Combinatorial Problems in Mathematical Competitions by : Yao Zhang
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.
Author |
: Titu Andreescu |
Publisher |
: |
Total Pages |
: 686 |
Release |
: 2017-07-15 |
ISBN-10 |
: 0988562200 |
ISBN-13 |
: 9780988562202 |
Rating |
: 4/5 (00 Downloads) |
Synopsis Number Theory by : Titu Andreescu
Challenge your problem-solving aptitude in number theory with powerful problems that have concrete examples which reflect the potential and impact of theoretical results. Each chapter focuses on a fundamental concept or result, reinforced by each of the subsections, with scores of challenging problems that allow you to comprehend number theory like never before. All students and coaches wishing to excel in math competitions will benefit from this book as will mathematicians and adults who enjoy interesting mathematics.
Author |
: Michael Th. Rassias |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 336 |
Release |
: 2010-11-16 |
ISBN-10 |
: 9781441904959 |
ISBN-13 |
: 1441904956 |
Rating |
: 4/5 (59 Downloads) |
Synopsis Problem-Solving and Selected Topics in Number Theory by : Michael Th. Rassias
The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning graduate students as well as to students who prepare for mathematical competitions (ex. Mathematical Olympiads and Putnam Mathematical competition).
Author |
: Alexander Zawaira |
Publisher |
: OUP Oxford |
Total Pages |
: 368 |
Release |
: 2008-10-31 |
ISBN-10 |
: 9780191561702 |
ISBN-13 |
: 0191561703 |
Rating |
: 4/5 (02 Downloads) |
Synopsis A Primer for Mathematics Competitions by : Alexander Zawaira
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.
Author |
: Alexander Sarana |
Publisher |
: Courier Dover Publications |
Total Pages |
: 430 |
Release |
: 2020-08-12 |
ISBN-10 |
: 9780486842530 |
ISBN-13 |
: 0486842533 |
Rating |
: 4/5 (30 Downloads) |
Synopsis Concepts and Problems for Mathematical Competitors by : Alexander Sarana
This original work discusses mathematical methods needed by undergraduates in the United States and Canada preparing for competitions at the level of the International Mathematical Olympiad (IMO) and the Putnam Competition. The six-part treatment covers counting methods, number theory, inequalities and the theory of equations, metrical geometry, analysis, and number representations and logic. Includes problems with solutions plus 1,000 problems for students to finish themselves.
Author |
: Titu Andreescu |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 214 |
Release |
: 2007-04-05 |
ISBN-10 |
: 9780817645618 |
ISBN-13 |
: 0817645616 |
Rating |
: 4/5 (18 Downloads) |
Synopsis 104 Number Theory Problems by : Titu Andreescu
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.
Author |
: Titu Andreescu |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 383 |
Release |
: 2009-06-12 |
ISBN-10 |
: 9780817646455 |
ISBN-13 |
: 0817646450 |
Rating |
: 4/5 (55 Downloads) |
Synopsis Number Theory by : Titu Andreescu
This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving. Starting with the essentials, the text covers divisibility, unique factorization, modular arithmetic and the Chinese Remainder Theorem, Diophantine equations, binomial coefficients, Fermat and Mersenne primes and other special numbers, and special sequences. Included are sections on mathematical induction and the pigeonhole principle, as well as a discussion of other number systems. By emphasizing examples and applications the authors motivate and engage readers.
Author |
: Titu Andreescu |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 296 |
Release |
: 2000-04-26 |
ISBN-10 |
: 0817641904 |
ISBN-13 |
: 9780817641900 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Mathematical Olympiad Challenges by : Titu Andreescu
A collection of problems put together by coaches of the U.S. International Mathematical Olympiad Team.