The Nature and Power of Mathematics

Nonfiction, Science & Nature, Mathematics
Cover of the book The Nature and Power of Mathematics by Donald M. Davis, Dover Publications
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Author: Donald M. Davis ISBN: 9780486152158
Publisher: Dover Publications Publication: March 19, 2013
Imprint: Dover Publications Language: English
Author: Donald M. Davis
ISBN: 9780486152158
Publisher: Dover Publications
Publication: March 19, 2013
Imprint: Dover Publications
Language: English

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.

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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 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.

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