Introduction to Mathematical Structures and Proofs, Hardback Book

Introduction to Mathematical Structures and Proofs Hardback

Part of the Undergraduate Texts in Mathematics series

Description

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.

Information

  • Format: Hardback
  • Pages: 401 pages, XIII, 401 p.
  • Publisher: Springer-Verlag New York Inc.
  • Publication Date:
  • Category: Mathematical logic
  • ISBN: 9781461442646

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