Nature and Power of Mathematics

Name: Nature and Power of Mathematics
Price: 8.83 USD
Availability: InStock
ISBN: 9780486438962

ISBN-10: 0486438961

ISBN-13: 9780486438962

Edition: 2004

Authors: Donald M. Davis

List price: $19.95

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Description:

In this engaging book, Donald Davis explains some of the most fascinating ideas in mathematics to the nonspecialist, highlighting their philosophical and historical interest, their often surprising applicability, and their beauty. The three main topics discussed are non- Euclidean geometry, with its application to the theory of relativity; number theory, with its application to cryptography; and fractals, which are an application in art, among other areas, of early mathematical work on iteration. Other topics include the influence of Greek mathematics on Kepler's laws of planetary motion, and the theoretical work that led to the development of computers. Assuming the reader has some…

Book details

List price: $19.95
Copyright year: 2004
Publisher: Dover Publications, Incorporated
Publication date: 12/23/2004
Binding: Paperback
Pages: 400
Size: 5.38" wide x 8.50" long x 1.00" tall
Weight: 0.946
Language: English



Preface



Some Greek Mathematics



[phi] and Irrational Numbers: An Introduction to Greek Mathematics



Euclidean Geometry



Greek Mathematics and Kepler



Non-Euclidean Geometry



Formal Axiom Systems



Precursors to Non-Euclidean Geometry



Hyperbolic Geometry



Spherical Geometry



Models of Hyperbolic Geometry



The Geometry of the Universe



Number Theory



Prime Numbers



The Euclidean Algorithm



Congruence Arithmetic



The Little Fermat Theorem



Cryptography



Some Basic Methods of Cryptography



Public Key Cryptography



Fractals



Fractal Dimension



Iteration and Computers



Mandelbrot and Julia sets


Epilogue


Bibliography


Credits


Index