[ DevCourseWeb ] Introduction to Mathematical Structures and Proofs, 2nd Edition torrent

[ DevCourseWeb.com ] Introduction to Mathematical Structures and Proofs, 2nd Edition

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English | 2012 | ISBN: 1461442648, 1493951467 | 414 pages | PDF | 2.64 MB
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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