A First Look At Numerical Functional Analysis
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A First Look At Numerical Functional Analysis
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Author : W. W. Sawyer
language : en
Publisher: Courier Dover Publications
Release Date : 2010-12-22
A First Look At Numerical Functional Analysis written by W. W. Sawyer and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-22 with Mathematics categories.
Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis. Suitable for advanced undergraduates and graduate students, this book provides coherent explanations for complex concepts. Topics include Banach and Hilbert spaces, contraction mappings and other criteria for convergence, differentiation and integration in Banach spaces, the Kantorovich test for convergence of an iteration, and Rall's ideas of polynomial and quadratic operators. Numerous examples appear throughout the text.
A First Look At Numerical Functional Analysis
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Author : Walter Warwick Sawyer
language : en
Publisher: Oxford : Clarendon Press
Release Date : 1978
A First Look At Numerical Functional Analysis written by Walter Warwick Sawyer and has been published by Oxford : Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Functional analysis categories.
Numerical Functional Analysis
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Author : Colin W. Cryer
language : en
Publisher: Oxford University Press, USA
Release Date : 1982
Numerical Functional Analysis written by Colin W. Cryer and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Language Arts & Disciplines categories.
Introduces the basic techniques of functional analysis and applies them to linear problems.
Functional Analysis And Approximation Theory In Numerical Analysis
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Author : R. S. Varga
language : en
Publisher: SIAM
Release Date : 1971-01-01
Functional Analysis And Approximation Theory In Numerical Analysis written by R. S. Varga and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Mathematics categories.
Surveys the enormous literature on numerical approximation of solutions of elliptic boundary problems by means of variational and finite element methods, requiring almost constant application of results and techniques from functional analysis and approximation theory to the field of numerical analysis.
Numerical Functional Analysis
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Author : Colin W. Cryer
language : en
Publisher:
Release Date : 1970
Numerical Functional Analysis written by Colin W. Cryer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Numerical analysis categories.
Functional Analysis And Numerical Mathematics
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Author : Lothar Collatz
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Functional Analysis And Numerical Mathematics written by Lothar Collatz and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Mathematics categories.
Functional Analysis and Numerical Mathematics focuses on the structural changes which numerical analysis has undergone, including iterative methods, vectors, integral equations, matrices, and boundary value problems. The publication first examines the foundations of functional analysis and applications, including various types of spaces, convergence and completeness, operators in Hilbert spaces, vector and matrix norms, eigenvalue problems, and operators in pseudometric and other special spaces. The text then elaborates on iterative methods. Topics include the fixed-point theorem for a general iterative method in pseudometric spaces; special cases of the fixed-point theorem and change of operator; iterative methods for differential and integral equations; and systems of equations and difference methods. The manuscript takes a look at monotonicity, inequalities, and other topics, including monotone operators, applications of Schauder's theorem, matrices and boundary value problems of monotone kind, discrete Chebyshev approximation and exchange methods, and approximation of functions. The publication is a valuable source of data for mathematicians and researchers interested in functional analysis and numerical mathematics.
A First Course In Functional Analysis
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Author : Martin Davis
language : en
Publisher: Courier Corporation
Release Date : 2013-01-01
A First Course In Functional Analysis written by Martin Davis and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-01 with Mathematics categories.
Designed for undergraduate mathematics majors, this introductory treatment is based on the distinguished author's lecture notes. The self-contained exposition of Gelfand's proof of Wiener's theorem explores set theoretic preliminaries, normed linear spaces and algebras, functions on Banach spaces, homomorphisms on normed linear spaces, and analytic functions into a Banach space. 1966 edition.
Applied Algebra And Functional Analysis
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Author : Anthony N. Michel
language : en
Publisher: Courier Corporation
Release Date : 1993-01-01
Applied Algebra And Functional Analysis written by Anthony N. Michel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-01-01 with Mathematics categories.
"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.
Applied Functional Analysis
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Author : D.H. Griffel
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Applied Functional Analysis written by D.H. Griffel and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.
A stimulating introductory text, this volume examines many important applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Detailed enough to impart a thorough understanding, the text is also sufficiently straightforward for those unfamiliar with abstract analysis. Its four-part treatment begins with distribution theory and discussions of Green's functions. Essentially independent of the preceding material, the second and third parts deal with Banach spaces, Hilbert space, spectral theory, and variational techniques. The final part outlines the ideas behind Frechet calculus, stability and bifurcation theory, and Sobolev spaces. 1985 edition. 25 Figures. 9 Appendices. Supplementary Problems. Indexes.
Applied Functional Analysis
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Author : Jean-Pierre Aubin
language : en
Publisher: John Wiley & Sons
Release Date : 2011-09-30
Applied Functional Analysis written by Jean-Pierre Aubin and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-30 with Mathematics categories.
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.