An Invitation to Abstract Mathematics

Title

An Invitation to Abstract Mathematics

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Description

This undergraduate textbook is intended primarily for a transition course into higher mathematics, although it is written with a broader audience in mind. The heart and soul of this book is problem solving, where each problem is carefully chosen to clarify a concept, demonstrate a technique, or to enthuse. The exercises require relatively extensive arguments, creative approaches, or both, thus providing motivation for the reader. With a unified approach to a diverse collection of topics, this text points out connections, similarities, and differences among subjects whenever possible. This book shows students that mathematics is a vibrant and dynamic human enterprise by including historical perspectives and notes on the giants of mathematics, by mentioning current activity in the mathematical community, and by discussing many famous and less well-known questions that remain open for future mathematicians. [From the publisher]

ISBN

9781461466352

Publication Date

5-2013

Publisher

Springer

Keywords

mathematics

Disciplines

Mathematics

Department

Mathematics

Comments

Original version is available from the publisher at: http://www.springer.com/mathematics/book/978-1-4614-6635-2

An Invitation to Abstract Mathematics

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