A New Look at Geometry (Dover Books on Mathematics) [Paperback] [2012] (Author) Irving Adler, Ruth Adler, Peter Ruane

by Irving Adler

A MANY-FACETED SCIENCEModern geometry is subdivided into branches of analytic, differential, Euclidean, hyperbolic, elliptic, projective, and many other geometries. The student is apt to become lost in this maze of byroads; it is Irving Adler's purpose to enable students to see the science as a whole, to see the complete map of geometry today.The author begins by describing geometry in its earliest form. The simple measurement of objects was practiced by ancient Babylonians and Egyptians; the early Greek philosopher Thales was the first to formulate an abstract idea of physical space. From pre-Euclidean geometry, Adler goes on to describe the theories of Euclid and Newton, to explain the workings of calculus and projective geometry, and finally, to show how geometry is used in a science of the atomic age, relativity physics.Here is a book that explains our changing conceptions of physical and mathematical space—an easily understood guide to the important new advances in the field of geometry.

Unknown Binding

First published June 1, 1966

Reviews

[Bob Ardis · Rating 5 out of 5]

Well written very broad view of geometry. Basic high school geometry background required. And patience. The ideas are not particularly difficult, per se, just counter-intuitive at times; some effort is needed to unlearn misconceptions. And then the light bulb goes on!! Fun. The introduction is a better summary than I can give. I find myself going back for reviews of various topics and approaches.

[Alexia M. · Rating 3 out of 5]

It wasn't a bad book, but it wasn't what I was looking for.

This book is essentially for people who really love mathematical theorems. There are nearly no practical examples or applications listed in this book.