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.
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Curves and Surfaces: Covers curvature in planes, space, and higher-dimensional manifolds
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Advanced Topics: Includes Ricci calculus, the r operator, and moving frames
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Connections: Explores connections in principal bundles and geometric structures
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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