Editorial Reviews. Review. From the reviews: “This textbook has its origin in the French version Functional Analysis, Sobolev Spaces and Partial Differential Equations (Universitext) – Kindle edition by Haim Brezis. Download it once and read. Functional Analysis, Sobolev Spaces and Partial Differential Equations. Front Cover · Haim Brezis. Springer Science & Business Media, Nov Haïm Brezis (born 1 June ) is a French mathematician who works in functional analysis and partial differential equations.
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Uniquely, this book presents in a coherent, concise and unified way the main results from functional analysis together with the main results from the theory of partial differential equations PDEs.
Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. The English edition makes a welcome addition to this list.
The Best Books of Check out the top books of the year on our page Best Books of Product details Format Paperback pages Dimensions x x Looking for beautiful books? Visit our Beautiful Books page and find lovely books for kids, photography lovers and more. Other books in this series. An Introduction to Manifolds Loring W.
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Complex Geometry Daniel Huybrechts. Lie Groups Claudio Procesi. The Calculus of Variations Bruce van Brunt. Spectra of Graphs Andries E. Logic and Structure Dirk Van Dalen. Riemannian Geometry Sylvestre Gallot. Back cover copy Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct “worlds,” functional analysis FA and partial differential equations PDEsand is intended for students who have a good background in real analysis.
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” 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. 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.
Table of contents Preface. Introduction to the Theory of Conjugate Convex Functions. Characterization of Surjective Operators. The Heat Equation and the Wave Equation. Review Text From the reviews: In fact I would recommend this over any other source to any beginning graduate student. Its a bible for the field of research. At the end of each chapter the reader will find comments with further information, references, and historic remarks.
In summary, the present textbook provides an excellent basis for a course on functional analysis plus a follow-up course on partial differential equations. It is well-written and I can wholeheartedly recommend it to both students and teachers. The writing is lively, the material is diverse and maintains a strong unity.
KIT – Department of Mathematics – Functional Analysis (Winter Semester /13)
I wholeheartedly recommend this book both as a textbook, as well as for independent study. It has seen translations into numerous languages and the Springer edition was especially anticipated, as it announced a number of practice exercises following each chapter.
I can honestly say that it was well worth the wait. The text is a pleasure to read. I wholeheartedly recommend this book as both a textbook as well as for independent study.
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