The Nature and Power of Mathematics

by Davis, Donald M.

• ISBN13: 9780691025629
• ISBN10: 0691025622
• Format: Paperback
• Copyright: 1993-10-01
• Publisher: Princeton Univ Pr

Table of Contents

Preface
Some Greek Mathematics	p. 3
[phi] and Irrational Numbers: An Introduction to Greek Mathematics	p. 3
Euclidean Geometry	p. 19
Greek Mathematics and Kepler	p. 42
Non-Euclidean Geometry	p. 69
Formal Axiom Systems	p. 69
Precursors to Non-Euclidean Geometry	p. 84
Hyperbolic Geometry	p. 100
Spherical Geometry	p. 122
Models of Hyperbolic Geometry	p. 143
The Geometry of the Universe	p. 160
Number Theory	p. 182
Prime Numbers	p. 182
The Euclidean Algorithm	p. 208
Congruence Arithmetic	p. 220
The Little Fermat Theorem	p. 238
Cryptography	p. 249
Some Basic Methods of Cryptography	p. 249
Public Key Cryptography	p. 267
Fractals	p. 284
Fractal Dimension	p. 284
Iteration and Computers	p. 314
Mandelbrot and Julia sets	p. 339
Epilogue	p. 377
Bibliography	p. 379
Credits	p. 383
Index	p. 385
Table of Contents provided by Blackwell. All Rights Reserved.