Synopses & Reviews
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.
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