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Bibliographic Detail
Publisher
Dover Pubns
Publication date
March 29, 2007
Pages
336
Binding
Paperback
Book category
Adult Non-Fiction
ISBN-13
9780486457826
ISBN-10
0486457826
Dimensions
0.75 by 5.25 by 8.25 in.
Weight
0.80 lbs.
Original list price
$19.95
Other format details
sci/tech
Amazon.com says people who bought this book also bought:
Curvature in Mathematics and Physics | Elementary Differential Geometry | Asymptotic Methods in Analysis | Differential Manifolds
Curvature in Mathematics and Physics | Elementary Differential Geometry | Asymptotic Methods in Analysis | Differential Manifolds
Summaries and Reviews
Amazon.com description: Product Description:
This accessible introduction to global analysis begins with a basic discussion of finite-dimensional differential manifolds. A Professor of Mathematics at the University of Minnesota, author Donald W. Kahn has geared his treatment toward advanced undergraduates and graduate students. Starting with those aspects that flow from the usual advanced calculus, he proceeds to proofs of versions of the Whitney embedding theorem, the theorem of Sard on the measure of the set of critical values, and the transversality lemma of Thom.
With the foundations set, the text turns to examinations of the tangent bundle to a manifold and the general theory of vector bundles. A study of differential operators on manifolds follows, including the algebra of differential forms, Stokes' theorem, the Poincaré lemma, and the basic definition of deRham cohomology. Additional topics include infinite-dimensional manifolds, Morse theory, Lie groups, dynamical systems, and the roles of singularities and catastrophes. Each chapter concludes with a selection of problems and projects.
With the foundations set, the text turns to examinations of the tangent bundle to a manifold and the general theory of vector bundles. A study of differential operators on manifolds follows, including the algebra of differential forms, Stokes' theorem, the Poincaré lemma, and the basic definition of deRham cohomology. Additional topics include infinite-dimensional manifolds, Morse theory, Lie groups, dynamical systems, and the roles of singularities and catastrophes. Each chapter concludes with a selection of problems and projects.
Editions
Hardcover
from Academic Pr (August 1, 1980)
9780123940506 | details & prices | 6.50 × 9.50 × 1.00 in. | 1.45 lbs | List price $39.50
About: This accessible introduction to global analysis begins with a basic discussion of finite-dimensional differential manifolds.
About: This accessible introduction to global analysis begins with a basic discussion of finite-dimensional differential manifolds.
Paperback
The price comparison is for this edition
from Dover Pubns (March 29, 2007)
9780486457826 | details & prices | 336 pages | 5.25 × 8.25 × 0.75 in. | 0.80 lbs | List price $19.95
About: This accessible introduction to global analysis begins with a basic discussion of finite-dimensional differential manifolds.
About: This accessible introduction to global analysis begins with a basic discussion of finite-dimensional differential manifolds.
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