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Introduction to Smooth Manifolds
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Introduction to Smooth Manifolds Hardcover - 2002 - 1st Edition

by John M. Lee


From the publisher

This is an introductory graduate-level textbook on the theory of smooth manifolds, for students who already have a solid acquaintance with general topology, the fundamental group, and covering spaces, as well as basic undergraduate linear algebra and real analysis. It is a natural sequel to the author's last book, Introduction to Topological Manifolds (2000). While the subject is often called differential geometry, in this book the author has decided to avoid use of this term because it applies more specifically to the study of smooth manifolds endowed with some extra structure, such as a Riemannian metric, a symplectic structure, a Lie group structure, or a foliation, and of the properties that are invariant under maps that preserve the structure. Although this text addresses these subjects, they are treated more as interesting examples to which to apply the general theory than as objects of study in their own right. A student who finishes this book should be prepared to go on to study any of these specialized subjects in much greater depth.

First line

This book is about smooth manifolds.

Details

  • Title Introduction to Smooth Manifolds
  • Author John M. Lee
  • Binding Hardcover
  • Edition number 1st
  • Edition 1
  • Pages 628
  • Language ENG
  • Publisher Springer-Verlag Telos, china
  • Date October 1, 2002
  • ISBN 9780387954950