EAN: 9783319369013

METHODS OF SOLVING NONSTANDARD PROBLEMS - ELLIN...

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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