INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
0387709134 (pbk.)
NATIONAL BIBLIOGRAPHY NUMBER
Country Code
IR
Number
EN-53837
LANGUAGE OF THE ITEM
.Language of Text, Soundtrack etc
انگلیسی
COUNTRY OF PUBLICATION OR PRODUCTlON
Country of publication
IR
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Functional analysis, Sobolev spaces and partial differential equations
General Material Designation
[Book]
First Statement of Responsibility
/ Haim Brezis
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
New York ;London
Name of Publisher, Distributor, etc.
: Springer,
Date of Publication, Distribution, etc.
, 2011.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
xiii, 599 p. , ill. , 24 cm.
SERIES
Series Title
(Universitext)
GENERAL NOTES
Text of Note
Originally published in French as Analyse fonctionelle, thaeorie et applications (Paris: Masson, c1983) ; this English edition contains revisions and added exercises.
NOTES PERTAINING TO PUBLICATION, DISTRIBUTION, ETC.
Text of Note
Electronic
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references (p. 585-594) and index.
CONTENTS NOTE
Text of Note
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.
Text of Note
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 die 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.
Text of Note
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.
Text of Note
The Hahn-Banach theorems : introduction to the theory of conjugate convex functions -- The uniform boundedness principle and the closed graph theorem -- Weak topologies, reflexive spaces, separable spaces, uniform convexity -- Lp spaces -- Hilbert spaces -- Compact operators, spectral decomposition of self-adjoint compact operators -- The Hille-Yosida theorem -- Sobolev spaces and the variational formulation of boundary value problems in one dimension -- Sobolev spaces and the variational formulation of elliptic boundary value problems in N dimensions -- Evolution problems : the heat equation and the wave equation -- Miscellaneous complements
SERIES
Title
Universitext
TOPICAL NAME USED AS SUBJECT
Functional analysis
Differential equations, Partial
Sobolev spaces
LIBRARY OF CONGRESS CLASSIFICATION
Class number
E-BOOK
PERSONAL NAME - PRIMARY RESPONSIBILITY
Braezis, H.(Haim)
PERSONAL NAME - SECONDARY RESPONSIBILITY
Braezis, H.(Haim).Analyse fonctionelle, thaeorie et applications
ORIGINATING SOURCE
Country
ایران
ELECTRONIC LOCATION AND ACCESS
Host name
9780387709130.pdf
Access number
عادی
Compression information
عادی
Date and Hour of Consultation and Access
9780387709130.pdf
Electronic Format Type
متن
old catalog
e
BL
1
a
Y
