Low Price Guarantee
We Take School POs
A Differential Approach to Geometry: Geometric Trilogy III Softcover Repri Edition
Contributor(s): Borceux, Francis (Author)

View larger image

ISBN: 3319377477     ISBN-13: 9783319377476
Publisher: Springer
OUR PRICE: $123.49  

Binding Type: Paperback - See All Available Formats & Editions
Published: August 2016
Qty:
Additional Information
BISAC Categories:
- Mathematics | Geometry - Differential
- Mathematics | History & Philosophy
Dewey: 510.9
Physical Information: 0.95" H x 6.14" W x 9.21" L (1.44 lbs) 452 pages
Features: Bibliography
 
Descriptions, Reviews, Etc.
Publisher Description:

This book presents the classical theory of curves in the plane and three-dimensional space, and the classical theory of surfaces in three-dimensional space. It pays particular attention to the historical development of the theory and the preliminary approaches that support contemporary geometrical notions. It includes a chapter that lists a very wide scope of plane curves and their properties. The book approaches the threshold of algebraic topology, providing an integrated presentation fully accessible to undergraduate-level students.

At the end of the 17th century, Newton and Leibniz developed differential calculus, thus making available the very wide range of differentiable functions, not just those constructed from polynomials. During the 18th century, Euler applied these ideas to establish what is still today the classical theory of most general curves and surfaces, largely used in engineering. Enter this fascinating world through amazing theorems and a wide supply of surprising examples. Reach the doors of algebraic topology by discovering just how an integer (= the Euler-Poincar characteristics) associated with a surface gives you a lot of interesting information on the shape of the surface. And penetrate the intriguing world of Riemannian geometry, the geometry that underlies the theory of relativity.

The book is of interest to all those who teach classical differential geometry up to quite an advanced level. The chapter on Riemannian geometry is of great interest to those who have to "intuitively" introduce students to the highly technical nature of this branch of mathematics, in particular when preparing students for courses on relativity.

 
Customer ReviewsSubmit your own review
 
To tell a friend about this book, you must Sign In First!