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基本説明
Martin Erickson has assembled a splendid collection of one hundred aha! problems - problems that seem difficult but yield readily to a sudden insight. It is a great book about modern math, disguised as a set of cool puzzles. - Martin Gardner.
Full Description
Every mathematician (beginner, amateur, and professional alike) thrills to find simple, elegant solutions to seemingly difficult problems. Such happy resolutions are called 'aha! solutions,' a phrase popularized by mathematics and science writer Martin Gardner. Aha! solutions are surprising, stunning, and scintillating: they reveal the beauty of mathematics. This collection includes one hundred problems in the areas of arithmetic, geometry, algebra, calculus, probability, number theory, and combinatorics. The problems start out easy and generally get more difficult as you progress through the book. A few solutions require the use of a computer. An important feature of the book is the discussion of related mathematics that follows the solution of each problem. This material is there to entertain and inform you or point you to new questions.
Contents
Preface; 1. Elementary problems; 2. Intermediate problems; 3. Advanced problems; A. Toolkit; B. List of bonuses; Bibliography; Index.
