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Methods of Solving Nonstandard Problems
English
110 b
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This book intends to make students proficient in solving nonstandard and complex problems of elementary mathematics. Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions, such as the Mathematical Olympiad. The author emphasizes 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, and nonlinear systems. Over 300 problems are included with hints, answers, and detailed solutions. High school and college students will find this to be a valuable resource, whether they are preparing for a math competition or looking to improve their mathematical skills, as will their teachers, for whom it can serve as an extra resource in the classroom.
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