Articoli correlati a Nonlinear Functional Analysis
Sinossi
Hailed as "eminently suitable as a text for a graduate course" by the Bulletin of the American Mathematical Society, this volume offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It offers extensive commentary and many examples in addition to an abundance of interesting, challenging exercises.
Starting with coverage of the development of the Brower degree and its applications, the text proceeds to examinations of degree mappings for infinite dimensional spaces and surveys of monotone and accretive mappings. Subsequent chapters explore the inverse function theory, the implicit function theory, and Newton's methods as well as fixed-point theory, solutions to cones, and the Galerkin method of studying nonlinear equations. The final chapters address extremal problems—including convexity, Lagrange multipliers, and mini-max theorems—and offer an introduction into bifurcation theory. Suitable for graduate-level mathematics courses, this volume also serves as a reference for professionals.
Starting with coverage of the development of the Brower degree and its applications, the text proceeds to examinations of degree mappings for infinite dimensional spaces and surveys of monotone and accretive mappings. Subsequent chapters explore the inverse function theory, the implicit function theory, and Newton's methods as well as fixed-point theory, solutions to cones, and the Galerkin method of studying nonlinear equations. The final chapters address extremal problems—including convexity, Lagrange multipliers, and mini-max theorems—and offer an introduction into bifurcation theory. Suitable for graduate-level mathematics courses, this volume also serves as a reference for professionals.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Informazioni sull'autore
Klaus Deimling is a Professor of Mathematics at the University of Paderborn in Germany.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Risultati della ricerca per Nonlinear Functional Analysis
Immagini fornite dal venditore
Elementary Mathmatics from an Advan (Dover Books on Mathematics)
Editore:
Dover Publications Inc., 2004
ISBN 10: 0486474410
ISBN 13: 9780486474410
Antico o usato
paperback
Da: WeBuyBooks, Rossendale, LANCS, Regno Unito
Valutazione del venditore 5 su 5 stelle
paperback. Condizione: Like New. Most items will be dispatched the same or the next working day. An apparently unread copy in perfect condition. Dust cover is intact with no nicks or tears. Spine has no signs of creasing. Pages are clean and not marred by notes or folds of any kind. Codice articolo rev5654768842
Compra usato
EUR 13,36
Spedizione EUR 6,58
Spedito da Regno Unito a U.S.A.
Spedito da Regno Unito a U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Nonlinear Functional Analysis
Editore:
Dover Publications Inc., 2010
ISBN 10: 0486474410
ISBN 13: 9780486474410
Antico o usato
Paperback
Da: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: Good. topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider- ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods. Codice articolo 00109731186
Compra usato
EUR 36,21
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Nonlinear Functional Analysis (Dover Books on Mathematics)
Editore:
Dover Publications (edition ), 2010
ISBN 10: 0486474410
ISBN 13: 9780486474410
Antico o usato
Paperback
Da: BooksRun, Philadelphia, PA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: Very Good. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Codice articolo 0486474410-8-1
Compra usato
EUR 36,22
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Nonlinear Functional Analysis
Editore:
Dover Publications, 2010
ISBN 10: 0486474410
ISBN 13: 9780486474410
Antico o usato
Paperback
Da: ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
Valutazione del venditore 5 su 5 stelle
Paperback. Condizione: Very Good. No Jacket. May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less. Codice articolo G0486474410I4N00
Compra usato
EUR 36,36
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili
Foto dell'editore
Nonlinear Functional Analysis
Editore:
Dover Publications Inc., 2010
ISBN 10: 0486474410
ISBN 13: 9780486474410
Antico o usato
Paperback
Da: World of Books Inc, Montgomery, IL, U.S.A.
Valutazione del venditore 4 su 5 stelle
Paperback. Condizione: Good. topics. However, only a modest preliminary knowledge is needed. In the first chapter, where we introduce an important topological concept, the so-called topological degree for continuous maps from subsets ofRn into Rn, you need not know anything about functional analysis. Starting with Chapter 2, where infinite dimensions first appear, one should be familiar with the essential step of consider- ing a sequence or a function of some sort as a point in the corresponding vector space of all such sequences or functions, whenever this abstraction is worthwhile. One should also work out the things which are proved in 7 and accept certain basic principles of linear functional analysis quoted there for easier references, until they are applied in later chapters. In other words, even the 'completely linear' sections which we have included for your convenience serve only as a vehicle for progress in nonlinearity. Another point that makes the text introductory is the use of an essentially uniform mathematical language and way of thinking, one which is no doubt familiar from elementary lectures in analysis that did not worry much about its connections with algebra and topology. Of course we shall use some elementary topological concepts, which may be new, but in fact only a few remarks here and there pertain to algebraic or differential topological concepts and methods. Codice articolo CIN0486474410G
Compra usato
EUR 38,05
Spedizione gratuita
Spedito in U.S.A.
Spedito in U.S.A.
Quantità: 1 disponibili