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The Implicit Function Theorem - History, Theory, and Applications (Paperback, 2013 ed.) Loot Price: R1,420
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The Implicit Function Theorem - History, Theory, and Applications (Paperback, 2013 ed.): Steven G. Krantz, Harold Parks

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The Implicit Function Theorem - History, Theory, and Applications (Paperback, 2013 ed.)

Steven G. Krantz, Harold Parks

Series: Modern Birkhauser Classics

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Loot Price R1,420 Discovery Miles 14 200 | Repayment Terms: R132 pm x 12*

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The implicit function theorem is part ofthe bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis.

There are many different forms of the implicit function theorem, including (i) the classical formulation for"Ck"functions, (ii) formulations in other function spaces, (iii) formulations for non-smooth function, and (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present uncorrected reprint of this classicmonograph.

Originally published in 2002, "The Implicit Function Theorem"is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and placein context a substantial body of mathematical ideas. "

General

Imprint: Springer-Verlag New York
Country of origin: United States
Series: Modern Birkhauser Classics
Release date: November 2012
First published: 2013
Authors: Steven G. Krantz • Harold Parks
Dimensions: 235 x 155 x 9mm (L x W x T)
Format: Paperback
Pages: 163
Edition: 2013 ed.
ISBN-13: 978-1-4614-5980-4
Categories: Books > Science & Mathematics > Mathematics
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis
Books > Science & Mathematics > Mathematics > Geometry
Books > Science & Mathematics > Mathematics > History of mathematics
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry
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LSN: 1-4614-5980-X
Barcode: 9781461459804

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