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Challenging Mathematical Problems with Elementary Solutions, Vol. II (Dover Books on Mathematics)

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Book Details

  • Publisher: Dover

  • Author: A. M. Yaglom

  • Language: English (Translated from Russian)

  • Binding: Paperback

  • Edition: 1st Edition

  • ISBN: 9780486655376

  • Pages: 223

  • Cover: Paperback

  • Dimensions: 8.3 x 5.5 x 0.6 inches

About The Book

This two-volume set is a treasure trove of mathematical challenges, designed for advanced high school students, undergraduates, graduate students, and math enthusiasts. Based on the Russian work Non-Elementary Problems in an Elementary Exposition, it brings forward a series of problems from higher mathematics, yet all can be solved using elementary methods, often requiring no more than a solid understanding of high school mathematics.

The first volume focuses on problems related to probability theory and combinatorial analysis. It covers a range of topics, including representing integers as sums and products, combinatorial puzzles on the chessboard, geometric analysis, binomial coefficients, and computing probabilities. The second volume diversifies into problems across various mathematical domains, such as topology, convex polygons, distribution of objects, and prime theory.

Each problem is followed by detailed solutions, making it an excellent resource for self-study or group work. The book encourages readers to explore mathematical methods and ideas in a deeper, more intuitive way, making it a great choice for anyone looking to enhance their mathematical problem-solving skills.

This volume is a valuable resource for students and educators alike, providing a wide-ranging compilation of problems that will challenge even seasoned mathematicians.