| 书目名称 | Introduction to Mathematical Structures and Proofs |
| 编辑 | Larry J. Gerstein |
| 视频video | |
| 概述 | Solutions manual for even numbered exercises is available on springer.com for instructors adopting the text for a course.Discusses the multifaceted process of mathematical proof by thoughtful oscillat |
| 丛书名称 | Undergraduate Texts in Mathematics |
| 图书封面 |  |
| 描述 | .As a student moves from basic calculus courses into upper-division courses in linear and abstract algebra, real and complex analysis, number theory, topology, and so on, a "bridge" course can help ensure a smooth transition. Introduction to Mathematical Structures and Proofs is a textbook intended for such a course, or for self-study. This book introduces an array of fundamental mathematical structures. It also explores the delicate balance of intuition and rigor—and the flexible thinking—required to prove a nontrivial result. In short, this book seeks to enhance the mathematical maturity of the reader. .The new material in this second edition includes a section on graph theory, several new sections on number theory (including primitive roots, with an application to card-shuffling), and a brief introduction to the complex numbers (including a section on the arithmetic of the Gaussian integers). Solutions for even numbered exercises are available on springer.com forinstructors adopting the text for a course.. |
| 出版日期 | Textbook 2012Latest edition |
| 关键词 | Cantor‘s theorems; Fundamental Theorem of Arithmetic; counting principles; mathematical induction; numbe |
| 版次 | 2 |
| doi | https://doi.org/10.1007/978-1-4614-4265-3 |
| isbn_softcover | 978-1-4939-5146-8 |
| isbn_ebook | 978-1-4614-4265-3Series ISSN 0172-6056 Series E-ISSN 2197-5604 |
| issn_series | 0172-6056 |
| copyright | Springer Science+Business Media, LLC, part of Springer Nature 2012 |
发表于 2025-3-21 19:33:52
