Introduction to Mathematical Structures and Proofs

di Larry J. Gerstein (Autore)

Springer-Verlag New York Inc., 2016

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.

• Autore: Larry J. Gerstein
• Editore: Springer-Verlag New York Inc.
• Collana: Undergraduate Texts in Mathematics
• Anno: 2016
• Rilegatura: Paperback / softback
• Pagine: 401 p.
• Dimensioni: 254 x 178 mm
• EAN: 9781493951468

Testo in English