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The Nature and Power of Mathematics
     

The Nature and Power of Mathematics

by Donald M. Davis
 

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This captivating book explains some of mathematics' most fascinating ideas to nonspecialists. It explores items of philosophical and historical interest, discusses the often-surprising applicability of mathematics, and reveals the subject's intrinsic beauty. Author Donald M. Davis focuses on three main areas: non-Euclidean geometry, a basis for relativity

Overview

This captivating book explains some of mathematics' most fascinating ideas to nonspecialists. It explores items of philosophical and historical interest, discusses the often-surprising applicability of mathematics, and reveals the subject's intrinsic beauty. Author Donald M. Davis focuses on three main areas: non-Euclidean geometry, a basis for relativity theory; number theory, a major component of cryptography; and fractals, the key elements of computer-generated art. He also discusses related topics, such as the relevance of Greek mathematics to Kepler's laws of planetary motion, and the theoretical work that led to the development of computers.
Only a background in basic algebra and geometry is necessary to appreciate this volume, which features exercises that further develop some of its important concepts. Graded according to difficulty, these exercises are designed to improve readers' skills in logic, and to enable them to experience mathematics at increasingly advanced levels.
Supplementary materials at the end of each chapter include intriguing examples of the subjects' applications, as well as biographical sketches of Archimedes, Einstein, Newton, and other luminaries of mathematics.

Editorial Reviews

From the Publisher

"The author's enthusiasm for the subject is evident; the reader is swept along through a galaxy of ideas and is left with the feeling of having gained a deeper understanding of at least some branches of mathematics. It is written in a straightforward style with no gimmicks."--The Times Higher Education Supplement

Product Details

ISBN-13:
9780486438962
Publisher:
Dover Publications
Publication date:
12/23/2004
Series:
Dover Books on Mathematics
Pages:
400
Product dimensions:
5.40(w) x 8.40(h) x 0.90(d)

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