Adler I. A New Look at Geometry 2012 PDF torrent

Textbook in PDF format

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.
One Book and Three Metaphors
Geometry Before Euclid
Euclid's Geometry
Geometry via Numbers
Geometry via Arrows
Geometry via Reflections
Geometry in Newtonian Physics
Non-Euclidean Geometry
The Calculus and Geometry
Projective Geometry
Geometry in Relativity Physics
Geometry Generalized
Geometry and Algebra
Answers to Exercises