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Introduction to Mathematical Structures and Proofs
Paperback
Series: Undergraduate Texts in Mathematics
ISBN13: 9781493951468
Publisher: Springer Nature
Published: Aug 23 2016
Pages: 401
Weight: 1.58
Height: 0.85 Width: 7.00 Depth: 10.00
Language: English
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.
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