Journey into Mathematics An Introduction to Proofs 1st Edition by Joseph Rotman ISBN 0486453065 9780486453064

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Product details:

ISBN 10: 0486453065

ISBN 13: 978-0486453064

Author:  Joseph J Rotman 

Journey into Mathematics: An Introduction to Proofs 1st Edition: Students learn how to read and write proofs by actually reading and writing them, asserts author Joseph J. Rotman, adding that merely reading about mathematics is no substitute for doing mathematics. In addition to teaching how to interpret and construct proofs, Professor Rotman’s introductory text imparts other valuable mathematical tools and illustrates the intrinsic beauty and interest of mathematics.
Journey into Mathematics offers a coherent story, with intriguing historical and etymological asides. The three-part treatment begins with the mechanics of writing proofs, including some very elementary mathematics–induction, binomial coefficients, and polygonal areas–that allow students to focus on the proofs without the distraction of absorbing unfamiliar ideas at the same time. Once they have acquired some geometric experience with the simpler classical notion of limit, they proceed to considerations of the area and circumference of circles. The text concludes with examinations of complex numbers and their application, via De Moivre’s theorem, to real numbers.

 

Journey into Mathematics: An Introduction to Proofs 1st Edition 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.

 

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Joseph Rotman,Journey,Mathematics,Introduction,Proofs