Introduction To Mathematical Structures And Proofs (Undergraduate Texts In Mathematics) - 9781493951468

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.

• | Author: Larry J. Gerstein
• | Publisher: Springer
• | Publication Date: Aug 23, 2016
• | Number of Pages: 414 pages
• | Language: English
• | Binding: Paperback/Mathematics
• | ISBN-10: 1493951467
• | ISBN-13: 9781493951468