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9780486478548

Introduction to Proof in Abstract Mathematics

by Wohlgemuth, Andrew
  • ISBN13:

    9780486478548

  • ISBN10:

    0486478548

  • eBook ISBN(s):

    9780486141688

  • Edition: Unabridged
  • Format: Paperback
  • Copyright: 2011-02-17
  • Publisher: Dover Publications

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Summary

The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an acceptable proof, and it develops their ability to do proofs of routine problems as well as those requiring creative insights. Includes answers to practice exercises. 1990 edition.

Author Biography

Andrew Wohlgemuth is Professor Emeritus at the University of Maine.

Table of Contents

1. Sets and Rules of Inference
2. Functions
3. Relations, Operations, and the Integers
4. Proofs in Analysis
5. Cardinality
6. Groups
Appendix 1 Properties of Number Systems
Appendix 2 Truth Tables
Appendix 3 Inference Rules
Appendix 4 Definitions
Appendix 5 Theorems
Appendix 6 A Sample Syllabus
Answers to Practice Exercises
Index
 

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