Introduction to Mathematical Structures and Proofs (Undergraduate Texts in Mathematics)

Gerstein, Larry J.

ISBN 10: 1461442648 / ISBN 13: 9781461442646

Verlag: Springer, 2012

Beschreibung

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Bibliografische Details

Titel: Introduction to Mathematical Structures and ...

Verlag: Springer

Erscheinungsdatum: 2012

Einband: Hardcover

Zustand: Acceptable

Auflage: 2. Auflage

Über diesen Titel

Inhaltsangabe:

Book by Gerstein Larry

Reseña del editor:

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.