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基本説明
A collection of non-trivial, unconventional problems that requiring deep insight and imagination nostalgic of those discussed at the Sunday Math Circles.
Full Description
This volume offers a collection of non-trivial, unconventional problems that require deep insight and imagination to solve. They cover many topics, including number theory, algebra, combinatorics, geometry and analysis. The problems start as simple exercises and become more difficult as the reader progresses through the book to become challenging enough even for the experienced problem solver. The introductory problems focus on the basic methods and tools while the advanced problems aim to develop problem solving techniques and intuition as well as promote further research in the area. Solutions are included for each problem.
Contents
Problems.- Number Theory.- Algebra and Combinatorics.- Geometry.- Analysis.- Solutions and Comments to the Problems.- Number Theory Solutions.- Algebra and Combinatorics Solutions.- Geometry Solutions.- Analysis Solutions.



