This introductory text is exploratory in nature, and is intended as a bridge between Euclid's geometry and the modern geometry of curved spaces. It is organized around a collection of simple experiments which the reader can perform at home or in a classroom setting. Methods for physically exploring the intrinsic geometry of commonplace curved objects (such as bowls, balls and watermelons) are described. The concepts of Gaussian curvature, parallel transport and geodesics are treated. The book also contains biographical chapters on Gauss, Riemann and Levi-Civita.
By:
James Casey Imprint: Vieweg+Teubner Verlag Country of Publication: Germany Edition: Softcover reprint of the original 1st ed. 1996 Dimensions:
Height: 210mm,
Width: 148mm,
Spine: 16mm
Weight: 451g ISBN:9783528064754 ISBN 10: 3528064757 Pages: 291 Publication Date:01 November 1996 Audience:
College/higher education
,
A / AS level
,
Further / Higher Education
Format:Paperback Publisher's Status: Active
Dr. J. Casey ist Professor an der University of California, Berkeley Department of Mechanical Engineering.