Functional Analysis, Sobolev Spaces and Partial Differential Equations / (Record no. 5520)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03214cam a22002777a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20250430102129.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 101001s2011 nyua b 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 0387709134 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780387709130 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.7 |
| Item number | BreF |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Brezis, H. |
| 245 10 - TITLE STATEMENT | |
| Title | Functional Analysis, Sobolev Spaces and Partial Differential Equations / |
| Statement of responsibility, etc | Haim Brezis. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | New York : |
| Name of publisher | Springer, |
| Year of publication | ©2011. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xiii, 599p. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Universitext |
| 500 ## - GENERAL NOTE | |
| General note | Originally published in French as Analyse fonctionelle, théorie et applications (Paris: Masson, c1983) ; this English edition contains revisions and added exercises. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents 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 |
| 520 ## - SUMMARY, ETC. | |
| 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. | |
| 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. | |
| 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 | |
| Topical Term | Functional analysis |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential Equations, Partial |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Sobolev Spaces |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Purchase Price | Bill number | Full call number | Accession Number | Copy number | Print Price | Bill Date/Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Mathematics | Indian Institute of Technology Tirupati | Indian Institute of Technology Tirupati | Reference | 04/03/2024 | Shankar's Book Agency Pvt. Ltd. | 3718.89 | IN33416/23-24 | REF 515.7 BreF | 10194 | Copy 1 | 6378.89 | 20/12/2023 | Reference | |||
| Mathematics | Indian Institute of Technology Tirupati | Indian Institute of Technology Tirupati | General Stacks | 04/03/2024 | Shankar's Book Agency Pvt. Ltd. | 3718.89 | IN33416/23-24 | 515.7 BreF | 10195 | Copy 2 | 6378.89 | 20/12/2023 | Books |