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Introduction to Smooth Manifolds

£24.99

Product description

Softcover, published by Springer in the Graduate Texts in Mathematics series (218). First edition, 2003.

This book is an introductory graduate-level textbook on the theory of smooth manifolds (the author’s sequel to Topological Manifolds). Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research―smooth structures, tangent vectors and convectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. Along the way, the book introduces students to some of the most important examples of geometric structures that manifolds can carry, such as Riemannian metrics, symplectic structures and foliations. The book is aimed at 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.

John M. Lee is Professor of Mathematics at the University of Washington in Seattle, where he regularly teaches graduate courses on the topology and geometry of manifolds. He was the recipient of the American Mathematical Society's Centennial Research Fellowship and he is the author of two previous Springer books, Introduction to Topological Manifolds (2000) and Riemannian Manifolds: An Introduction to Curvature (1997).

Paperback in very good condition with just some slight discolouration.

Item details

Author(s):
Lee, John M.
Condition:
Used: very good
Dimensions:
16 cm x 23 cm, 6 in x 9 in
Edition:
First
Format:
Paperback
ISBN-10:
0387954481
ISBN-13:
9780387954486
Number of pages:
628
Publisher:
Springer
Title:
Introduction to Smooth Manifolds

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About this item

Softcover, published by Springer in the Graduate Texts in Mathematics series (218). First edition, 2003.

This book is an introductory graduate-level textbook on the theory of smooth manifolds (the author’s sequel to Topological Manifolds). Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research―smooth structures, tangent vectors and convectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more. The approach is as concrete as possible, with pictures and intuitive discussions of how one should think geometrically about the abstract concepts, while making full use of the powerful tools that modern mathematics has to offer. Along the way, the book introduces students to some of the most important examples of geometric structures that manifolds can carry, such as Riemannian metrics, symplectic structures and foliations. The book is aimed at 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.

John M. Lee is Professor of Mathematics at the University of Washington in Seattle, where he regularly teaches graduate courses on the topology and geometry of manifolds. He was the recipient of the American Mathematical Society's Centennial Research Fellowship and he is the author of two previous Springer books, Introduction to Topological Manifolds (2000) and Riemannian Manifolds: An Introduction to Curvature (1997).

Paperback in very good condition with just some slight discolouration.

Author(s):
Lee, John M.
Condition:
Used: very good
Dimensions:
16 cm x 23 cm, 6 in x 9 in
Edition:
First
Format:
Paperback
ISBN-10:
0387954481
ISBN-13:
9780387954486
Number of pages:
628
Publisher:
Springer
Title:
Introduction to Smooth Manifolds

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This item will be dispatched to UK addresses via second class post within 2 working days of receipt of your order. Standard UK delivery is Standard UK delivery is £3.95 per order, so you're only charged once no matter how many items you have in your basket. Any additional courier charges will be applied at checkout as they vary depending on delivery address.

This item will be dispatched to UK addresses via second class post within 2 working days of receipt of your order. Standard UK delivery is currently free no matter how many items you have in your basket. Any additional courier charges will be applied at checkout as they vary depending on delivery address.

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