A Comprehensive Introduction to Differential Geometry, Vol. 2, 3rd Edition

A Comprehensive Introduction to Differential Geometry, Vol. 2 – 3rd Edition

by Michael Spivak

Explore the deeper structures of geometry with Volume Two of Michael Spivak’s masterwork. This third edition continues the semi-historical journey through classical differential geometry, offering detailed insights into curvature, surface theory, and the evolution of geometric thought.

Published by Publish or Perish, Inc.® in Houston, Texas, this volume is a vital reference for advanced students and researchers in mathematics and physics.

• Curves and Surfaces: Covers curvature in planes, space, and higher-dimensional manifolds
• Advanced Topics: Includes Ricci calculus, the r operator, and moving frames
• Connections: Explores connections in principal bundles and geometric structures
• Historical Depth: Features Gauss’ investigations and Riemann’s contributions with detailed proofs

Though it contains no problem sets, this volume offers a rich bibliography and serves as a comprehensive guide to classical and modern differential geometry.

ISBN: 9780914098713