A Journey into Mathematics: An Introduction to Proofs / Edition 1

A Journey into Mathematics: An Introduction to Proofs / Edition 1

by Joseph J. Rotman
     
 

ISBN-10: 0138423601

ISBN-13: 9780138423605

Pub. Date: 08/13/1997

Publisher: Pearson

Rotman, Joseph, Journey into Mathematics: The World of Proof 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

Overview

Rotman, Joseph, Journey into Mathematics: The World of Proof 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.

Product Details

ISBN-13:
9780138423605
Publisher:
Pearson
Publication date:
08/13/1997
Pages:
237
Product dimensions:
6.24(w) x 9.32(h) x 0.68(d)

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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