## An Introduction to Manifolds (Universitext)

### Loring W. Tu

4.7 avg rating
( 20 ratings by Goodreads )

In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages, while other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems.

"synopsis" may belong to another edition of this title.

From the Back Cover:

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, An Introduction to Manifolds is also an excellent foundation for Springer GTM 82, Differential Forms in Algebraic Topology.

Loring W. Tu was born in Taipei, Taiwan, and grew up in Taiwan, Canada, and the United States. He attended McGill University and Princeton University as an undergraduate, and obtained his Ph.D. from Harvard University under the supervision of Phillip A. Griffiths. He has taught at the University of Michigan, Ann Arbor, and at Johns Hopkins University, and is currently on the faculty at Tufts University in Massachusetts. An algebraic geometer by training, he has done research in the interface of algebraic geometry, topology, and differential geometry, including Hodge theory, degeneracy loci, moduli spaces of vector bundles, and equivariant cohomology. He is the coauthor with Raoul Bott of Differential Forms in Algebraic Topology (Springer Graduate Texts in Mathematics 82).

List Price: US\$ 54.95
US\$ 59.99

Shipping: US\$ 4.99
Within U.S.A.

Destination, Rates & Speeds

## 1.An Introduction to Manifolds (Universitext)

ISBN 10: 0387480986 ISBN 13: 9780387480985
New PAPERBACK Quantity Available: 1
Seller:
Cloud 9 Books
(Wellington, FL, U.S.A.)
Rating

Book Description Springer. PAPERBACK. Book Condition: New. 0387480986 New Condition. Bookseller Inventory # NEW7.1061800

US\$ 59.99
Convert Currency
Shipping: US\$ 4.99
Within U.S.A.
Destination, Rates & Speeds

## 2.An Introduction to Manifolds (Universitext)

ISBN 10: 0387480986 ISBN 13: 9780387480985
New Paperback First Edition Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating

Book Description Springer, 2007. Paperback. Book Condition: New. book. Bookseller Inventory # M0387480986

US\$ 69.59
Convert Currency
Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

## 3.An Introduction to Manifolds (Universitext)

ISBN 10: 0387480986 ISBN 13: 9780387480985
New Paperback Quantity Available: 2
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating

Book Description Springer, 2007. Paperback. Book Condition: New. Bookseller Inventory # P110387480986