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Journey into Mathematics : The World of Proof

Journey into Mathematics : The World of Proof - 98 edition

ISBN13: 978-0138423605

Cover of Journey into Mathematics : The World of Proof 98 (ISBN 978-0138423605)
ISBN13: 978-0138423605
ISBN10: 0138423601
Cover type:
Edition/Copyright: 98
Publisher: Prentice Hall, Inc.
Published: 1998
International: No

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Journey into Mathematics : The World of Proof - 98 edition

ISBN13: 978-0138423605

Joseph J. Rotman

ISBN13: 978-0138423605
ISBN10: 0138423601
Cover type:
Edition/Copyright: 98
Publisher: Prentice Hall, Inc.

Published: 1998
International: No
Summary

Prompting readers to do mathematics, not merely read about it, this proactive book has users reading and writing proofs at the outset. Complete proofs are given from the start, and coverage begins with elementary mathematics to allow focus on the writing and reading of proofs without the distraction of absorbing new ideas simultaneously.

  • Contains material that is familiar to calculus readers (i.e., induction, binomial theorem, polygonal, using the Diophantine parametrization of the circle by rational functions to solve trigonometric identities, etc.), and engages readers throughout with interesting expositions using history, etymology, and humorous asides.
  • Material is presented as a 'single story' to aid in the subjects progressive growth and development.

Table of Contents

1. SETTING OUT.

Induction.
Binomial Coefficients.

2. THINGS PYTHAGOREAN.

Area.
The Pythagorean Theorem.
Pythagorean Triples.
The Method of Diophantus.
Trigonometry.
Integration.

3. CIRCLES AND PI.

Approximations.
The Area of a Disk.
The Circumference of a Disk.
Sequences.

4. POLYNOMIALS.

Quadratics.
Complex Numbers.
De Moivre's Theorem.
Cubics and Quartics.
Irrationalities.
Glossary of Logic.

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