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Degree Theory in Analysis and Applications (Oxford Lecture Series in Mathematics and Its Applications) - Hardcover
In recent years the need to extend the notion of degree to nonsmooth functions has been triggered by developments in nonlinear analysis and some of its applications. This new study relates several approaches to degree theory for continuous functions and incorporates newly obtained results for Sobolev functions. These results are put to use in the study of variational principles in nonlinear elasticity. Several applications of the degree are illustrated in the theories of ordinary and partial differential equations. Other topics include multiplication theorem, Hopf's theorem, Brower's fixed point theorem, odd mappings, and Jordan's separation theorem, all suitable for graduate courses in degree theory and application.
"synopsis" may belong to another edition of this title.
About the Author:
Irene Fonseca is at Carnegie Mellon University, Pittsburgh. Wilfrid Gangbo is at Mathematical Sciences Research Institute, Berkeley, California.
Review:
`The book brings together many results previously to be found only in journals.'
Alsib Book Guide, vol.61, no.5, May 1996.
`...recommended both to graduate students, as well as to more specialized researchers.'
SIAM Review, Vol. 39, no.3, September 1997
Alsib Book Guide, vol.61, no.5, May 1996.
`...recommended both to graduate students, as well as to more specialized researchers.'
SIAM Review, Vol. 39, no.3, September 1997
"About this title" may belong to another edition of this title.
- PublisherClarendon Press
- Publication date1995
- ISBN 10 0198511965
- ISBN 13 9780198511960
- BindingHardcover
- Edition number1
- Number of pages224
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DEGREE THEORY IN ANALYSIS AND AP
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(1995)
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Degree Theory in Analysis and Applications 2 Oxford Lecture Series in Mathematics and Its Applications
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Degree Theory in Analysis and Applications
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Degree Theory in Analysis and Applications (Hardcover)
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Oxford University Press, Oxford
(1995)
ISBN 10: 0198511965
ISBN 13: 9780198511960
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Book Description Hardcover. Condition: new. Hardcover. In this book we study the degree theory and some of its applications in analysis. It focuses on the recent developments of this theory for Sobolev functions, which distinguishes this book from the currently available literature. We begin with a thorough study of topological degree for continuous functions. The contents of the book include: degree theory for continuous functions, the multiplication theorem, Hopf`s theorem, Brower`s fixed point theorem, oddmappings, Jordan`s separation theorem. Following a brief review of measure theory and Sobolev functions and study local invertibility of Sobolev functions. These results are put to use in the studyvariational principles in nonlinear elasticity. The Leray-Schauder degree in infinite dimensional spaces is exploited to obtain fixed point theorems. We end the book by illustrating several applications of the degree in the theories of ordinary differential equations and partial differential equations. 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 the authors consider several aspects of degree theory as applied to continuous functions and in particular to Sobolev functions, an area in which their own recent work has won them recognition. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198511960
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Degree Theory in Analysis and Applications 2 Oxford Lecture Series in Mathematics and Its Applications
Published by
Clarendon Press
(1995)
ISBN 10: 0198511965
ISBN 13: 9780198511960
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Hardcover
Quantity: > 20
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Book Description HRD. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L1-9780198511960
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Degree Theory in Analysis and Applications (Oxford Lecture Series in Mathematics and Its Applications)
Published by
Clarendon Press
(1995)
ISBN 10: 0198511965
ISBN 13: 9780198511960
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Degree Theory in Analysis and Applications (Hardcover)
Published by
Oxford University Press, Oxford
(1995)
ISBN 10: 0198511965
ISBN 13: 9780198511960
New
Hardcover
Quantity: 1
Seller:
Rating
Book Description Hardcover. Condition: new. Hardcover. In this book we study the degree theory and some of its applications in analysis. It focuses on the recent developments of this theory for Sobolev functions, which distinguishes this book from the currently available literature. We begin with a thorough study of topological degree for continuous functions. The contents of the book include: degree theory for continuous functions, the multiplication theorem, Hopf`s theorem, Brower`s fixed point theorem, oddmappings, Jordan`s separation theorem. Following a brief review of measure theory and Sobolev functions and study local invertibility of Sobolev functions. These results are put to use in the studyvariational principles in nonlinear elasticity. The Leray-Schauder degree in infinite dimensional spaces is exploited to obtain fixed point theorems. We end the book by illustrating several applications of the degree in the theories of ordinary differential equations and partial differential equations. 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 the authors consider several aspects of degree theory as applied to continuous functions and in particular to Sobolev functions, an area in which their own recent work has won them recognition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780198511960
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