Lectures on Differential Geometry

Lectures on Differential Geometry

ISBN-10:
9810241828
ISBN-13:
9789810241827
Pub. Date:
11/28/1999
Publisher:
World Scientific Publishing Company, Incorporated

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Overview

Lectures on Differential Geometry

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 applications of differential geometry to physics. In addition to a thorough treatment of the fundamentals of manifold theory, exterior algebra, the exterior calculus, connections on fiber bundles, Riemannian geometry, Lie groups and moving frames, and complex manifolds (with a succinct introduction to the theory of Chern classes), and an appendix on the relationship between differential geometry and theoretical physics, this book includes a new chapter on Finsler geometry and a new appendix on the history and recent developments of differential geometry, the latter prepared specially for this edition by Professor Chern to bring the text into perspectives.

Product Details

ISBN-13: 9789810241827
Publisher: World Scientific Publishing Company, Incorporated
Publication date: 11/28/1999
Series: Series On University Mathematics Series
Edition description: New Edition
Pages: 356
Product dimensions: 62.50(w) x 85.00(h) x 7.50(d)

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Lectures on Differential Geometry 4 out of 5 based on 0 ratings. 1 reviews.
Guest More than 1 year ago
chern's intrinsic proof of Gauss-Bonnet theorem is the heart of this book. To my dismay, the proof only consists of 2 dimensional Riemannian manifolds. Yet his n dimensional (1944) proof which deserves some further elaborations - considering the scope of difficulties on its own - is not included. Other than that, the book is well done.