A New Look at Geometry

This richly detailed overview surveys the evolution of geometrical ideas and the development of the concepts of modern geometry from ancient times to the present. Topics include projective, Euclidean, and non-Euclidean geometry as well as the role of geometry in Newtonian physics, calculus, and relativity. Over 100 exercises with answers. 1966 edition.

The author of many books on math and science, Irving Adler taught in New York City high schools during the 1930s and 40s and pursued a long career as a political activist and lecturer.

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. Geometry and Algebra Bibliography Answers to Exercises Index

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A New Look at Geometry

Summary

Author Biography

Table of Contents

Supplemental Materials