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9780130167507

Introduction to Advanced Mathematics

by ;
  • ISBN13:

    9780130167507

  • ISBN10:

    0130167509

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 1999-12-17
  • Publisher: Pearson

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Summary

Focused on "What Every Mathematician Needs to Know," this book focuses on the analytical tools necessary for thinking like a mathematician. It anticipates many of the questions readers might have, and develops the subject slowly and carefully, with each chapter containing a full exposition of topics, many examples, and practice problems to reinforce the concepts as they are introduced. "Find the Flaw" problems help readers learn to read proofs critically.Contains five core chapters on elementary logic, methods of proof, set theory, functions, and relations; and four chapters of examples, theorems, and projects.For those interested in abstract algebra or real analysis.

Table of Contents

1. Introduction to Logic.
2. Methods of Proof.
3. Set Theory.
4. Cartesian Products and Functions.
5. Relations.
6. Cardinality.
7. Number Theory.
8. Rings and Integral Domains.
9. Limits and the Real Numbers.

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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