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Implicit Function Theorem

Engels | Paperback | 9781461459804 | 09 november 2012 | 163 pagina's

Steven G. Krantz, Harold R. Parks - 9781461459804

 

Engels | Paperback | 9781461459804 | 09 november 2012 | 163 pagina's

First published in 2003, this is an accessible and thorough treatment of implicit and inverse function theorems and their applications. The book documents and places in context a substantial body of concepts that have played an role in modern mathematics.

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 functions, 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.

 

 Levertijd:  

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Implicit Function Theorem Engels | Paperback | 9781461459804 | 09 november 2012 | 163 pagina's
Taalen
BindwijzePaperback
Oorspronkelijke releasedatum09 november 2012
Aantal pagina's163
IllustratiesNee
HoofdauteurSteven G. Krantz
Tweede AuteurHarold R. Parks
Co AuteurSteven G. Krantz
HoofduitgeverijSpringer-Verlag New York Inc.
Editie2013
Extra groot lettertypeNee
Gewicht2818 g
Product breedte156 mm
Product hoogte9 mm
Product lengte234 mm
StudieboekJa
Verpakking breedte155 mm
Verpakking hoogte234 mm
Verpakking lengte235 mm



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