Nature and Power of Mathematics
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 background in basic algebra and geometry, Davis relies on exercises to develop some of the important concepts. These exercises are designed to improve the reader's ability in logic, and enable him or her actually to experience mathematics at increasingly advanced levels.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $19.95
Copyright year: 2004
Publisher: Dover Publications, Incorporated
Publication date: 12/23/2004
Size: 5.50" wide x 8.25" long x 1.00" tall
|Some Greek Mathematics|
|[phi] and Irrational Numbers: An Introduction to Greek Mathematics|
|Greek Mathematics and Kepler|
|Formal Axiom Systems|
|Precursors to Non-Euclidean Geometry|
|Models of Hyperbolic Geometry|
|The Geometry of the Universe|
|The Euclidean Algorithm|
|The Little Fermat Theorem|
|Some Basic Methods of Cryptography|
|Public Key Cryptography|
|Iteration and Computers|
|Mandelbrot and Julia sets|