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portada Introduction to Mathematical Structures and Proofs
Type
Physical Book
Author
Publisher
Language
English
Pages
401
Format
Paperback
Dimensions
25.4x17.8x2.2 cm
Weight
0.72 kg.
ISBN13
9781493951468
Edition No.
0002
Categories

Introduction to Mathematical Structures and Proofs

Larry J. Gerstein (Author) · Springer · Paperback

Introduction to Mathematical Structures and Proofs - Gerstein, Larry J.

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Synopsis "Introduction to Mathematical Structures and Proofs"

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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