A First Look At Numerical Functional Analysis

Author : W. W. Sawyer
Publisher : Courier Dover Publications
ISBN 13 : 0486478823
Total Pages : 210 pages
Book Rating : 4.21/5 ( download)

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Download or read book A First Look at Numerical Functional Analysis written by W. W. Sawyer and published by Courier Dover Publications. This book was released on 2010-12-22 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Walter Warwick Sawyer
Publisher : Oxford : Clarendon Press
ISBN 13 : 9780198596295
Total Pages : 186 pages
Book Rating : 4.94/5 ( download)

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Download or read book A First Look at Numerical Functional Analysis written by Walter Warwick Sawyer and published by Oxford : Clarendon Press. This book was released on 1978 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Martin Davis
Publisher : Courier Corporation
ISBN 13 : 0486499839
Total Pages : 129 pages
Book Rating : 4.33/5 ( download)

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Download or read book A First Course in Functional Analysis written by Martin Davis and published by Courier Corporation. This book was released on 2013-01-01 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Colin W. Cryer
Publisher :
ISBN 13 :
Total Pages : 602 pages
Book Rating : 4.45/5 ( download)

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Download or read book Numerical Functional Analysis written by Colin W. Cryer and published by . This book was released on 1982 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces the basic techniques of functional analysis and applies them to linear problems.

Author : Anthony N. Michel
Publisher : Courier Corporation
ISBN 13 : 048667598X
Total Pages : 514 pages
Book Rating : 4.85/5 ( download)

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Download or read book Applied Algebra and Functional Analysis written by Anthony N. Michel and published by Courier Corporation. This book was released on 1993-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Author : D.H. Griffel
Publisher : Courier Corporation
ISBN 13 : 0486141322
Total Pages : 402 pages
Book Rating : 4.29/5 ( download)

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Download or read book Applied Functional Analysis written by D.H. Griffel and published by Courier Corporation. This book was released on 2012-04-26 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : R. S. Varga
Publisher : SIAM
ISBN 13 : 9781611970647
Total Pages : 81 pages
Book Rating : 4.44/5 ( download)

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Download or read book Functional Analysis and Approximation Theory in Numerical Analysis written by R. S. Varga and published by SIAM. This book was released on 1971-01-01 with total page 81 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Robert A Conover
Publisher : Courier Corporation
ISBN 13 : 0486791726
Total Pages : 272 pages
Book Rating : 4.22/5 ( download)

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Download or read book A First Course in Topology written by Robert A Conover and published by Courier Corporation. This book was released on 2014-02-20 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Students must prove all of the theorems in this undergraduate-level text, which focuses on point-set topology and emphasizes continuity. The final chapter explores homotopy and the fundamental group. 1975 edition.

Author : Edward T Walsh
Publisher : Courier Corporation
ISBN 13 : 0486780201
Total Pages : 404 pages
Book Rating : 4.07/5 ( download)

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Download or read book A First Course in Geometry written by Edward T Walsh and published by Courier Corporation. This book was released on 2014-10-15 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for college courses, this introductory text covers the language of mathematics, geometric sets of points, separation and angles, triangles, parallel lines, similarity, polygons and area, circles, and space and coordinate geometry. 1974 edition.

Author : Lothar Collatz
Publisher : Academic Press
ISBN 13 : 1483264009
Total Pages : 494 pages
Book Rating : 4.04/5 ( download)

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Download or read book Functional Analysis and Numerical Mathematics written by Lothar Collatz and published by Academic Press. This book was released on 2014-05-12 with total page 494 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.