MARC details
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03261nam a22003857a 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
IIITD |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250215123535.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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250212b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780387709130 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
IIITD |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.7 |
| Item number |
BRE-F |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Brezis, Haim |
| 245 10 - TITLE STATEMENT |
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| Title |
Functional analysis, sobolev spaces and partial differential equations |
| Statement of responsibility, etc |
by Haim Brezis |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Place of publication, distribution, etc |
New York : |
| Name of publisher, distributor, etc |
Springer, |
| Date of publication, distribution, etc |
©2011 |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xiii, 599 p. : |
| Other physical details |
ill. ; |
| Dimensions |
24 cm. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes bibliographical references and index |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
1. The Hahn-Banach theorems : introduction to the theory of conjugate convex functions |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
2. The uniform boundedness principle and the closed graph theorem |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
3. Weak topologies, reflexive spaces, separable spaces, uniform convexity |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
4. Lp spaces |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
5. Hilbert spaces |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
6. Compact operators, spectral decomposition of self-adjoint compact operators |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
7. The Hille-Yosida theorem |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
8. Sobolev spaces and the variational formulation of boundary value problems in one dimension |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
9. Sobolev spaces and the variational formulation of elliptic boundary value problems in N dimensions |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
10. Evolution problems : the heat equation and the wave equation |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Title |
11. Miscellaneous complements |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 520 8# - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 520 8# - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Functional analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Differential equations, Partial |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Sobolev spaces |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
Dewey Decimal Classification |
| Koha item type |
Books |
