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Contributions To Functional Analysis
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Book Synopsis Contributions to Nonlinear Functional Analysis by : Eduardo H. Zarantonello
Download or read book Contributions to Nonlinear Functional Analysis written by Eduardo H. Zarantonello and published by . This book was released on 1971 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contributions to Functional Analysis by : Harro Heuser
Download or read book Contributions to Functional Analysis written by Harro Heuser and published by . This book was released on 2014-09-01 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contributions to Functional Analysis by : Mathematische Annalen
Download or read book Contributions to Functional Analysis written by Mathematische Annalen and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Essential Results of Functional Analysis by : Robert J. Zimmer
Download or read book Essential Results of Functional Analysis written by Robert J. Zimmer and published by University of Chicago Press. This book was released on 1990-01-15 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis is a broad mathematical area with strong connections to many domains within mathematics and physics. This book, based on a first-year graduate course taught by Robert J. Zimmer at the University of Chicago, is a complete, concise presentation of fundamental ideas and theorems of functional analysis. It introduces essential notions and results from many areas of mathematics to which functional analysis makes important contributions, and it demonstrates the unity of perspective and technique made possible by the functional analytic approach. Zimmer provides an introductory chapter summarizing measure theory and the elementary theory of Banach and Hilbert spaces, followed by a discussion of various examples of topological vector spaces, seminorms defining them, and natural classes of linear operators. He then presents basic results for a wide range of topics: convexity and fixed point theorems, compact operators, compact groups and their representations, spectral theory of bounded operators, ergodic theory, commutative C*-algebras, Fourier transforms, Sobolev embedding theorems, distributions, and elliptic differential operators. In treating all of these topics, Zimmer's emphasis is not on the development of all related machinery or on encyclopedic coverage but rather on the direct, complete presentation of central theorems and the structural framework and examples needed to understand them. Sets of exercises are included at the end of each chapter. For graduate students and researchers in mathematics who have mastered elementary analysis, this book is an entrée and reference to the full range of theory and applications in which functional analysis plays a part. For physics students and researchers interested in these topics, the lectures supply a thorough mathematical grounding.
Book Synopsis History of Functional Analysis by : J. Dieudonne
Download or read book History of Functional Analysis written by J. Dieudonne and published by Elsevier. This book was released on 1983-01-01 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, in particular, the theory of partial differential equations. This volume comprises nine chapters, the first of which focuses on linear differential equations and the Sturm-Liouville problem. The succeeding chapters go on to discuss the ""crypto-integral"" equations, including the Dirichlet principle and the Beer-Neumann method; the equation of vibrating membranes, including the contributions of Poincare and H.A. Schwarz's 1885 paper; and the idea of infinite dimension. Other chapters cover the crucial years and the definition of Hilbert space, including Fredholm's discovery and the contributions of Hilbert; duality and the definition of normed spaces, including the Hahn-Banach theorem and the method of the gliding hump and Baire category; spectral theory after 1900, including the theories and works of F. Riesz, Hilbert, von Neumann, Weyl, and Carleman; locally convex spaces and the theory of distributions; and applications of functional analysis to differential and partial differential equations. This book will be of interest to practitioners in the fields of mathematics and statistics.
Book Synopsis Contributions to Functional Analysis by :
Download or read book Contributions to Functional Analysis written by and published by . This book was released on 1966 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recueil factice d'articles de presse concernant Léontine Bouchetal by :
Download or read book Recueil factice d'articles de presse concernant Léontine Bouchetal written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functional Analysis, Sobolev Spaces and Partial Differential Equations by : Haim Brezis
Download or read book Functional Analysis, Sobolev Spaces and Partial Differential Equations written by Haim Brezis and published by Springer Science & Business Media. This book was released on 2010-11-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a completely revised, updated, and expanded English edition of the important Analyse fonctionnelle (1983). In addition, it contains a wealth of problems and exercises (with solutions) to guide the reader. 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. Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English edition makes a welcome addition to this list.
Book Synopsis Applied Functional Analysis by : Jean-Pierre Aubin
Download or read book Applied Functional Analysis written by Jean-Pierre Aubin and published by John Wiley & Sons. This book was released on 2011-09-30 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: A novel, practical introduction to functional analysis In the twenty years since the first edition of Applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis. Yet none of these offers the unique perspective of this new edition. Jean-Pierre Aubin updates his popular reference on functional analysis with new insights and recent discoveries-adding three new chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. He presents, for the first time at an introductory level, the extension of differential calculus in the framework of both the theory of distributions and set-valued analysis, and discusses their application for studying boundary-value problems for elliptic and parabolic partial differential equations and for systems of first-order partial differential equations. To keep the presentation concise and accessible, Jean-Pierre Aubin introduces functional analysis through the simple Hilbertian structure. He seamlessly blends pure mathematics with applied areas that illustrate the theory, incorporating a broad range of examples from numerical analysis, systems theory, calculus of variations, control and optimization theory, convex and nonsmooth analysis, and more. Finally, a summary of the essential theorems as well as exercises reinforcing key concepts are provided. Applied Functional Analysis, Second Edition is an excellent and timely resource for both pure and applied mathematicians.
Book Synopsis Handbook of Mathematical Geodesy by : Willi Freeden
Download or read book Handbook of Mathematical Geodesy written by Willi Freeden and published by Birkhäuser. This book was released on 2018-06-11 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by leading experts, this book provides a clear and comprehensive survey of the “status quo” of the interrelating process and cross-fertilization of structures and methods in mathematical geodesy. Starting with a foundation of functional analysis, potential theory, constructive approximation, special function theory, and inverse problems, readers are subsequently introduced to today’s least squares approximation, spherical harmonics reflected spline and wavelet concepts, boundary value problems, Runge-Walsh framework, geodetic observables, geoidal modeling, ill-posed problems and regularizations, inverse gravimetry, and satellite gravity gradiometry. All chapters are self-contained and can be studied individually, making the book an ideal resource for both graduate students and active researchers who want to acquaint themselves with the mathematical aspects of modern geodesy.
Book Synopsis Contributions to Nonlinear Functional Analysis by : Symposium on Nonlinear Functional Analysis $ (1971 : Madison)
Download or read book Contributions to Nonlinear Functional Analysis written by Symposium on Nonlinear Functional Analysis $ (1971 : Madison) and published by . This book was released on 1971 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Functional Analysis and Algebra by : Bernard Russo
Download or read book Topics in Functional Analysis and Algebra written by Bernard Russo and published by American Mathematical Soc.. This book was released on 2016-08-25 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The USA-Uzbekistan Conference on Analysis and Mathematical Physics, focusing on contemporary issues in dynamical systems, mathematical physics, operator algebras, and several complex variables, was hosted by California State University, Fullerton, from May 20–23, 2014. The main objective of the conference was to facilitate scientific communication and collaboration between mathematicians from the USA and Uzbekistan. This volume contains the proceedings of the Special Session on Algebra and Functional Analysis. The theory of operator algebras is the unified theme for many papers in this volume. Out of four extensive survey papers, two cover problems related to derivation of various algebras of functions. The other two surveys are on classification of Leibniz algebras and on evolution algebras. The sixteen research articles are devoted to certain analytic topics, such as minimal projections with respect to numerical radius, functional equations and discontinuous polynomials, Fourier inversion for distributions, Schrödinger operators, convexity and dynamical systems.
Book Synopsis Functional Analysis II by : Jørgen Hoffmann-Jørgensen
Download or read book Functional Analysis II written by Jørgen Hoffmann-Jørgensen and published by . This book was released on 1987 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Linear Functional Analysis by : Hans Wilhelm Alt
Download or read book Linear Functional Analysis written by Hans Wilhelm Alt and published by Springer. This book was released on 2016-07-06 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an introduction to Linear Functional Analysis, which is a synthesis of algebra, topology, and analysis. In addition to the basic theory it explains operator theory, distributions, Sobolev spaces, and many other things. The text is self-contained and includes all proofs, as well as many exercises, most of them with solutions. Moreover, there are a number of appendices, for example on Lebesgue integration theory. A complete introduction to the subject, Linear Functional Analysis will be particularly useful to readers who want to quickly get to the key statements and who are interested in applications to differential equations.
Book Synopsis Beginning Functional Analysis by : Karen Saxe
Download or read book Beginning Functional Analysis written by Karen Saxe and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: The unifying approach of functional analysis is to view functions as points in abstract vector space and the differential and integral operators as linear transformations on these spaces. The author's goal is to present the basics of functional analysis in a way that makes them comprehensible to a student who has completed courses in linear algebra and real analysis, and to develop the topics in their historical contexts.
Book Synopsis Contributions to Functional Analysis by : Mathematische Annalen
Download or read book Contributions to Functional Analysis written by Mathematische Annalen and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Contributions to Nonlinear Functional Analysis by :
Download or read book Contributions to Nonlinear Functional Analysis written by and published by . This book was released on 1971 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: