書名: MATHEMAGICS: A MAGICAL JOURNEY THROUGH ADVANCED MATH
作者: TEIXEIRA
ISBN: 9789811215308
出版社: World Scientific
出版日期: 2020/06
頁數: 400
#數學與統計學
定價: 1454
售價: 1381
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"This delightful book connects mathematical concepts in a dozen areas to magic tricks. Expositions of the mathematics precede description and analysis of the tricks. The expositions are too short for in-depth learning; the intent is to give sophomores a taste of the content and ideas of later mathematics courses. Each chapter features exercises on the mathematics, and students can have fun practicing the tricks." Mathematics Magazine Teixeira and Park present over 60 different magic tricks while introducing students to high-level math areas. Readers will learn really interesting ideas that will better prepare them for future courses and help them finding areas they might want to study deeper. And as a "side effect" students will learn amazing magic tricks, century-old secrets, and details from famous magicians and mathematicians. The material was written to quickly present key concepts in several mathematical areas in direct way. Little or no proficiency in math is assumed. In fact, students do not require any Calculus knowledge. And since chapters are almost independent from each other, this book also work as introduction to several other courses. Topics covered include mathematical proofs, probability, abstract algebra, linear algebra, mathematical computing, number theory, coding theory, geometry, topology, real analysis, numerical analysis and history of math. Sample Chapter(s) Preface Chapter 1: Mathematical Proofs Request Inspection Copy Contents: Mathematical Proofs Probability Abstract Algebra Linear Algebra Mathematical Computing Number Theory Coding Theory Geometry Topology Real Analysis Numerical Analysis History of Math Readership: High school and college students, general public.

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序言 ●This edition has been revised based on input from reviewers and users, as well as the author's understanding of the course. This includes correcting and adding to the existing content. ●Featuring more than 25% increase in problems. Some of these new problems, which are included in problem sets and chapter tests, are interrelated to develop ideas across chapters, providing a stronger understanding of the materiel. 特色 ●Hints: Appendix A contains an extensive collection of hints (and some answers when necessary) that point students in the correct direction. ●Flexible Coverage: The topics can be arranged in various ways, allowing instructors to take a computer science and engineering focus, an abstract algebra focus, a discrete structures focus, or a broad focus. ●Self-Tests: A self-test appears at the end of every chapter. The problems are of various degrees of difficulty, and complete answers appear in Appendix B. ●Induction: The sections on mathematical induction have been reworked with new motivational material, more examples, and more problems. The induction section is now essentially independent of the proof by smallest counterexample section. ●The book includes sections covering topics such as recurrence relations and combinatorial proof. ●The introductory section, "Joy," motivates students by describing the pleasure of doing mathematics. ●Proof Templates: Proof templates appear throughout the book and give students the basic skeleton of the proof as well as boilerplate language. ●Growing Proofs: The author teaches students how to write proofs by instructing them to begin their proofs by first writing the first sentence and next writing the last sentence. Students then work the proof from both ends until they meet in the middle. ●Mathspeak: Marginal notes explain many of the idiosyncrasies of mathematical English. 作者簡介 Edward R. Scheinerman is Professor in the Department of Applied Mathematics and Statistics at The Johns Hopkins University. Dr. Scheinerman's research interests include discrete mathematics; especially graph theory, partially ordered sets, random graphs, and combinatorics, as well as applications to robotics and networks. 目錄 1. FUNDAMENTALS. 2. COLLECTIONS. 3. COUNTING AND RELATIONS. 4. MORE PROOF. 5. FUNCTIONS. 6. PROBABILITY. 7. NUMBER THEORY. 8. ALGEBRA. 9. GRAPHS. 10. PARTIALLY ORDERED SETS. APPENDICES. Lots of Hints and Comments; Some Answers. Solutions to Self Tests. Glossary. Fundamentals.

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