Elements of Differential Topology: 1st Edition (e-Book) book cover

Elements of Differential Topology

1st Edition

By Anant R. Shastri

CRC Press

319 pages

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pub: 2011-03-04
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Description

Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology developed by Morse, Thom, Smale, Whitney, Milnor, and others. It begins with differential and integral calculus, leads you through the intricacies of manifold theory, and concludes with discussions on algebraic topol

Table of Contents

Review of Differential Calculus. Integral Calculus. Submanifolds of Euclidean Spaces. Integration on Manifolds. Abstract Manifolds. Isotopy. Intersection Theory. Geometry of Manifolds. Lie Groups and Lie Algebras: The Basics. Hints/Solutions to Select Exercises. Bibliography. Index.

About the Author

Anant R. Shastri is a professor in the Department of Mathematics at the Indian Institute of Technology, Bombay. His research interests encompass topology and algebraic geometry.

Subject Categories

BISAC Subject Codes/Headings:
MAT012000
MATHEMATICS / Geometry / General