Degree Theory in Analysis and Applications (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
220
Utgivningsdatum
1995-11-01
Förlag
OUP Oxford
Medarbetare
Gangbo, Wilfrid
Illustrationer
bibliog.
Dimensioner
234 x 156 x 14 mm
Vikt
486 g
Antal komponenter
1
Komponenter
laminated boards
ISBN
9780198511960

Degree Theory in Analysis and Applications

av Irene Fonseca
Inbunden,  Engelska, 1995-11-01
2158
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The idea of extending the notion of degree to non-smooth functions came about as a result of developments in non-linear analysis. In this book Irene Fonseca and Wilfrid Gangbo consider several aspects of degree theory as applied to continuous finctions and in particular to Sobolev functions, an area in which their own recent work has won them recognition. Existing texts on degree theory approach the subject from an algebraic or topological viewpoint but in this account the emphasis is on analysis. The first chapters should be accessible to graduate students and the book as a whole provides a useful reference on recent developments in degree theory, bringing together many results that currently exist only in journals.
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Recensioner i media

Alsib Book Guide, vol.61, no.5, May 1996. The book brings together many results previously to be found only in journals.

SIAM Review, Vol. 39, no.3, September 1997 ...recommended both to graduate students, as well as to more specialized researchers.

Innehållsförteckning

1. Degree theory for continuous functions; 2. Degree theory in finite dimensional spaces; 3. Some applications of the degree theory to Topology; 4. Measure theory and Sobolev spaces; 5. Properties of the degree for Sobolev functions; 6. Local invertibility of Sobolev functions. Applications; 7. Degree in infinite dimensional spaces; References; Index

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