Methods of Solving Nonstandard Problems

Fachbuch-Bestseller
Buch | Hardcover
XXI, 327 Seiten
2015 | 1st ed. 2015
Springer International Publishing (Verlag)
978-3-319-19886-6 (ISBN)

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Methods of Solving Nonstandard Problems - Ellina Grigorieva
42,79 inkl. MwSt

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 problemsare 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.

Ellina Grigorieva, PhD, is Professor of Mathematics at Texas Women's University, Denton, TX, USA

Solving Problems Using Properties of Functions.- Polynomials.- Problems from Trigonometry.- Unusual and Nonstandard Problems.- References.- Index.

"Students with an interest in problem-solving (particularly students who like to take Olympiad-style contests) will find suggestions, techniques and examples here that will serve them well. Students who are studying, or want to brush up on, basic algebra or trigonometry should also find material of interest here. Instructors of basic algebra, trigonometry, calculus, and even number theory or combinatorics may also find some interesting problems in this book to present to this class either in lecture or as homework." (Mark Hunacek, MAA Reviews, maa.org, December, 2015)

Erscheint lt. Verlag 28.9.2015
Zusatzinfo XXI, 327 p. 11 illus., 2 illus. in color.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Algebra
Schlagworte Algebra • Analysis • elementary functions • Mathematical Skills • Mathematics Competitions • Mathematics Olympiad • Math Problem Solving
ISBN-10 3-319-19886-6 / 3319198866
ISBN-13 978-3-319-19886-6 / 9783319198866
Zustand Neuware
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