【2015新书】 Methods of Solving Nonstandard Problems

Book 图书名称： Methods of Solving Nonstandard Problems
Author 作者： Ellina Grigorieva
Publisher 出版社： Springer International Publishing
Page 页数： 349
Publishing Date 出版时间： Oct 10, 2015
Language 语言： English
Size 大小： 3MB
Format 格式： pdf 文字版
ISBN: 978-3-319-19887-3
Edition: 第1版 搜索过论坛，没有该文档


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.


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