| 书目名称 | Methods of Solving Number Theory Problems | | 编辑 | Ellina Grigorieva | | 视频video | | | 概述 | Teaches number theory through problem solving, making it perfect for self-study and Olympiad preparation.Contains over 260 challenging problems and 110 homework exercises in number theory with hints a | | 图书封面 |  | | 描述 | Through its engaging and unusual problems, this book demonstrates methods of reasoning necessary for learning number theory. Every technique is followed by problems (as well as detailed hints and solutions) that apply theorems immediately, so readers can solve a variety of abstract problems in a systematic, creative manner. New solutions often require the ingenious use of earlier mathematical concepts - not the memorization of formulas and facts. Questions also often permit experimental numeric validation or visual interpretation to encourage the combined use of deductive and intuitive thinking. .The first chapter starts with simple topics like even and odd numbers, divisibility, and prime numbers and helps the reader to solve quite complex, Olympiad-type problems right away. It also covers properties of the perfect, amicable, and figurate numbers and introduces congruence. The next chapter begins with the Euclidean algorithm, explores therepresentations of integer numbers in different bases, and examines continued fractions, quadratic irrationalities, and the Lagrange Theorem. The last section of Chapter Two is an exploration of different methods of proofs. The third chapter is | | 出版日期 | Textbook 2018 | | 关键词 | Number Theory; Diophantine Equations; Fermat‘s Little Theorem; Euler‘s Formula; Wilson‘s Theorem; Pythago | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-90915-8 | | isbn_softcover | 978-3-030-08130-0 | | isbn_ebook | 978-3-319-90915-8 | | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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发表于 2025-3-21 19:10:34
