期刊全称 | A Brief Journey in Discrete Mathematics | 影响因子2023 | Randolph Nelson | 视频video | | 发行地址 | Demonstrates the beauty of mathematics through a concise discussion of 9 topics in discrete math.Appealing to a wide readership from high school students to research mathematicians.Includes an appendi | 图书封面 |  | 影响因子 | .The goal of this book is to showcase the beauty of mathematics as revealed in nine topics of discrete mathematics. In each chapter, properties are explored through a series of straightforward questions that terminate with results that lie at the doorstep of a field of study. Each step along the way is elementary and requires only algebraic manipulation. This frames the wonder of mathematics and highlights the complex world that lies behind a series of simple, mathematical, deductions..Topics addressed include combinatorics, unifying properties of symmetric functions, the Golden ratio as it leads to k-bonacci numbers, non-intuitive and surprising results found in a simple coin tossing game, the playful, trick question aspect of modular systems, exploration of basic properties of prime numbers and derivations of bewildering results that arise from approximating irrational numbers as continued fraction expansions. The Appendix contains the basic tools of mathematics that are used in the text along with a numerous list of identities that are derived in the body of the book...The mathematics in the book is derived from first principles. On only one occasion does it rely on a result n | Pindex | Book 2020 |
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