附註:Includes bibliographical references (pages 343-346) and index.
Preface; Contents; Chapter 1 Differentiable Manifolds; Chapter 2 Multilinear Algebra; Chapter 3 Exterior Differential Calculus; Chapter 4 Connections; Chapter 5 Riemannian Geometry; Chapter 6 Lie Groups and Moving Frames; Chapter 7 Complex Manifolds; Chapter 8 Finsler Geometry; Appendix A Historical Notes; Appendix B Differential Geometry and Theoretical Physics; References; Index.
摘要:This book is a translation of an authoritative introductory text based on a lecture series delivered by the renowned differential geometer, Professor S S Chern in Beijing University in 1980. The original Chinese text, authored by Professor Chern and Professor Wei-Huan Chen, was a unique contribution to the mathematics literature, combining simplicity and economy of approach with depth of contents. The present translation is aimed at a wide audience, including (but not limited to) advanced undergraduate and graduate students in mathematics, as well as physicists interested in the diverse applic.
