Introduction to Mathematical Structures and Proofs

Introduction to Mathematical Structures and Proofs
Author :
Publisher : Springer Science & Business Media
Total Pages : 409
Release :
ISBN-10 : 9781461442653
ISBN-13 : 1461442656
Rating : 4/5 (656 Downloads)

Book Synopsis Introduction to Mathematical Structures and Proofs by : Larry J. Gerstein

Download or read book Introduction to Mathematical Structures and Proofs written by Larry J. Gerstein and published by Springer Science & Business Media. This book was released on 2012-06-05 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 for instructors adopting the text for a course.


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