Functional Analysis, Sobolev Spaces and Partial Differential Equations - Erstausgabe

EAN (ISBN-13): 9780387709130
ISBN (ISBN-10): 0387709134
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer-Verlag New York Inc.
599 Seiten
Gewicht: 0,854 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 2007-01-25T09:04:39+01:00 (Berlin)
Detailseite zuletzt geändert am 2024-01-15T12:08:06+01:00 (Berlin)
ISBN/EAN: 9780387709130

ISBN - alternative Schreibweisen:
0-387-70913-4, 978-0-387-70913-0
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: sobolev, brezis, haim, springer
Titel des Buches: sobolev space, functional analysis sobolev spaces and partial differential equations, non spaces, different spaces

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Daten vom Verlag:

Autor/in: Haim Brezis
Titel: Universitext; Functional Analysis, Sobolev Spaces and Partial Differential Equations
Verlag: Springer; Springer US
600 Seiten
Erscheinungsjahr: 2010-11-10
New York; NY; US
Gedruckt / Hergestellt in Niederlande.
Sprache: Englisch
74,89 € (DE)
76,99 € (AT)
83,00 CHF (CH)
POD
XIV, 600 p.

BC; Hardcover, Softcover / Mathematik/Analysis; Funktionalanalysis und Abwandlungen; Verstehen; partial differential equations; Functional Analysis; Differential Equations; Difference and Functional Equations; Differentialrechnung und -gleichungen; EA

Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct “worlds,” functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real analysis. This text presents a smooth transition from FA to PDEs by analyzing in great detail the simple case of one-dimensional PDEs (i.e., ODEs), a more manageable approach for the beginner. Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Moreover, the wealth of exercises and additional material presented, leads the reader to the frontier of research. This book has its roots in a celebrated course taught by the author for many years and is a completely revised, updated, and expanded English edition of the important “Analyse Fonctionnelle” (1983). Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean,Romanian, Greek and Chinese. The English version is a welcome addition to this list. The first part of the text deals with abstract results in FA and operator theory. The second part is concerned with the study of spaces of functions (of one or more real variables) having specific differentiability properties, e.g., the celebrated Sobolev spaces, which lie at the heart of the modern theory of PDEs. The Sobolev spaces occur in a wide range of questions, both in pure and applied mathematics, appearing in linear and nonlinear PDEs which arise, for example, in differential geometry, harmonic analysis, engineering, mechanics, physics etc. and belong in the toolbox of any graduate student studying analysis.
Major textbook by a well-known and highly regarded author The first single-volume textbook to cover related fields of functional analysis and PDEs Includes supplementary material: sn.pub/extras