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A New Look at Geometry (Dover Books on Mathematics)

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A New Look at Geometry (Dover Books on Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

This richly detailed overview surveys the development and evolution of geometrical ideas and concepts from ancient times to the present. In addition to the relationship between physical and mathematical spaces, it examines the interactions of geometry, algebra, and calculus. The text proves many significant theorems and employs several important techniques. Chapters on non-Euclidean geometry and projective geometry form brief, self-contained treatments.

More than 100 exercises with answers and 200 diagrams illuminate the text. Teachers, students (particularly those majoring in mathematics education), and mathematically minded readers will appreciate this outstanding exploration of the role of geometry in the development of Western scientific thought.

Introduction to the Dover edition by Peter Ruane.

Synopsis:

Richly detailedand#160;surveyand#160;of theand#160;evolution of geometrical ideas and development of concepts of modern geometry:and#160;projective,and#160;Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers.and#160;1966 edition.

Table of Contents

1. One Book and Three Metaphors
2. Geometry Before Euclid
3. Euclid's Geometry
4. Geometry via Numbers
5. Geometry via Arrows
6. Geometry via Reflections
7. Geometry in Newtonian Physics
8. Non-Euclidean Geometry
9. The Calculus and Geometry
10. Projective Geometry
11. Geometry in Relativity Physics
12. Geometry Generalized
13.and#160;Geometry and Algebra
Bibliography
Answers to Exercises
Index

Product Details

ISBN:
9780486498515
Author:
Adler, Irving
Publisher:
Dover Publications
Author:
Adler, Ruth
Author:
Ruane, Peter
Subject:
Geometry - General
Subject:
Mathematics-Geometry and Trigonometry
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20121031
Binding:
TRADE PAPER
Language:
English
Illustrations:
236 diagrams
Pages:
416
Dimensions:
8.5 x 5.38 in

Related Subjects


Science and Mathematics » Mathematics » Calculus » Precalculus
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry

A New Look at Geometry (Dover Books on Mathematics) Used Trade Paper
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Product details 416 pages Dover Publications - English 9780486498515 Reviews:
"Synopsis" by ,

Richly detailedand#160;surveyand#160;of theand#160;evolution of geometrical ideas and development of concepts of modern geometry:and#160;projective,and#160;Euclidean, and non-Euclidean geometry; role of geometry in Newtonian physics, calculus, relativity. Over 100 exercises with answers.and#160;1966 edition.

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