A New Look at Geometry

by Irving Adler, Ruth Adler (Illustrator), Peter Ruane (Introduction)

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.

416 pages, Paperback

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.