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Synopsis
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'
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Review
From the reviews:
“The book under review balances the historical analyses with presentations and discussions of the proofs of some formulations of the implicit function theorem. ... The authors have taken some care to make the book self-contained, and as such a well-motivated undergraduate student can profitably read many parts of it, and the whole book is within the reach of a first-year graduate student.” (Felipe Zaldivar, MAA Reviews, March, 2013)
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- ISBN 10 3764342854
- ISBN 13 9783764342852
- BindingHardcover
- LanguageEnglish
- Rating
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International Edition
The Implicit Function Theorem: History, Theory, and Applications
Published by
Secaucus, New Jersey, U.S.A.: Birkhauser, 2002
ISBN 10: 3764342854
ISBN 13: 9783764342852
New
Soft cover
First Edition
Seller: Sizzler Texts, SAN GABRIEL, CA, U.S.A.
Seller rating 5 out of 5 stars
Soft cover. Condition: New. Dust Jacket Condition: New. 1st Edition. **INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service. Seller Inventory # ABE-10731534767
Quantity: Over 20 available
International Edition
The Implicit Function Theorem: History, Theory, and Applications
International EditionSeller: Aideo Books, San Marino, CA, U.S.A.
Seller rating 5 out of 5 stars
Trade paperback. Condition: New in new dust jacket. International Edition. ***INTERNATIONAL EDITION*** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. 163 p. Audience: General/trade. Seller Inventory # K583B0000455
Quantity: Over 20 available