Steven G Krantz

(Author)

The Implicit Function Theorem: History, Theory, and Applications (2013)Paperback - 2013, 9 November 2012

The Implicit Function Theorem: History, Theory, and Applications (2013)
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Part of Series
Modern Birkhäuser Classics
Part of Series
Modern Birkhauser Classics
Part of Series
Modern Birkh User Classics
Print Length
163 pages
Language
English
Publisher
Birkhauser
Date Published
9 Nov 2012
ISBN-10
146145980X
ISBN-13
9781461459804

Description

The implicit function theorem is part of the 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 classic monograph. ​

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 place in context a substantial body of mathematical ideas.

Product Details

Authors:
Steven G KrantzHarold R Parks
Book Edition:
2013
Book Format:
Paperback
Country of Origin:
NL
Date Published:
9 November 2012
Dimensions:
23.39 x 15.6 x 0.97 cm
ISBN-10:
146145980X
ISBN-13:
9781461459804
Language:
English
Location:
New York, NY
Pages:
163
Publisher:
Weight:
258.55 gm

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