A First Look At Numerical Functional Analysis

Author : W. W. Sawyer
Publisher : Courier Dover Publications
Page : 210 pages
File Size : 53,9 Mb
Release : 2010-12-22
Category : Mathematics
ISBN : 9780486478821

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A First Look at Numerical Functional Analysis by W. W. Sawyer Pdf

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
Page : 186 pages
File Size : 48,7 Mb
Release : 1978
Category : Functional analysis
ISBN : 0198596294

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A First Look at Numerical Functional Analysis by Walter Warwick Sawyer Pdf

Author : Colin W. Cryer
Publisher : Unknown
Page : 602 pages
File Size : 42,9 Mb
Release : 1982
Category : Language Arts & Disciplines
ISBN : UCAL:B4406745

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Numerical Functional Analysis by Colin W. Cryer Pdf

Introduces the basic techniques of functional analysis and applies them to linear problems.

Author : Martin Davis
Publisher : Courier Corporation
Page : 129 pages
File Size : 41,8 Mb
Release : 2013-01-01
Category : Mathematics
ISBN : 9780486499833

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A First Course in Functional Analysis by Martin Davis Pdf

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 : Anthony N. Michel,Charles J. Herget
Publisher : Courier Corporation
Page : 514 pages
File Size : 46,9 Mb
Release : 1993-01-01
Category : Mathematics
ISBN : 9780486675985

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Applied Algebra and Functional Analysis by Anthony N. Michel,Charles J. Herget Pdf

"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
Page : 402 pages
File Size : 44,6 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486141329

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Applied Functional Analysis by D.H. Griffel Pdf

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 : Robert A Conover
Publisher : Courier Corporation
Page : 272 pages
File Size : 51,9 Mb
Release : 2014-02-20
Category : Mathematics
ISBN : 9780486791722

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A First Course in Topology by Robert A Conover Pdf

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
Page : 404 pages
File Size : 47,5 Mb
Release : 2014-10-15
Category : Mathematics
ISBN : 9780486780207

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A First Course in Geometry by Edward T Walsh Pdf

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 : R. S. Varga
Publisher : SIAM
Page : 81 pages
File Size : 45,6 Mb
Release : 1971-01-01
Category : Mathematics
ISBN : 1611970644

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Functional Analysis and Approximation Theory in Numerical Analysis by R. S. Varga Pdf

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 : Colin W. Cryer
Publisher : Unknown
Page : 142 pages
File Size : 53,8 Mb
Release : 1970
Category : Numerical analysis
ISBN : OCLC:12532456

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Numerical Functional Analysis by Colin W. Cryer Pdf

Author : Amol Sasane
Publisher : Courier Dover Publications
Page : 260 pages
File Size : 55,9 Mb
Release : 2016-03-15
Category : Mathematics
ISBN : 9780486789453

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Optimization in Function Spaces by Amol Sasane Pdf

Classroom-tested at the London School of Economics, this original, highly readable text offers numerous examples and exercises as well as detailed solutions. Prerequisites are multivariable calculus and basic linear algebra. 2015 edition.

Author : V.L. Bonch-Bruevich,S.V. Tyablikov
Publisher : Courier Dover Publications
Page : 276 pages
File Size : 47,5 Mb
Release : 2015-11-18
Category : Science
ISBN : 9780486797151

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The Green Function Method in Statistical Mechanics by V.L. Bonch-Bruevich,S.V. Tyablikov Pdf

Concise monograph devoted to techniques of solving many-body problems in physics using the quantum-mechanical Green function method. Requires some familiarity with the basic theory of quantum mechanics and statistical mechanics. 1962 edition.

Author : Earle Buckingham
Publisher : Courier Corporation
Page : 578 pages
File Size : 55,9 Mb
Release : 1988-01-01
Category : Technology & Engineering
ISBN : 9780486657127

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Analytical Mechanics of Gears by Earle Buckingham Pdf

This volume provides a solid foundation for logical gear design practices and data. Topics include an analysis of conjugate gear-tooth action, nature of the contact, and resulting gear-tooth profiles of several types of gears, plus gear teeth in action. Indispensable guide for engineers concerned with tooth geometry, manufacturing accuracies, and general design. 1949 edition.

Author : Jacob T. Schwartz
Publisher : Courier Dover Publications
Page : 305 pages
File Size : 45,6 Mb
Release : 2018-11-14
Category : Mathematics
ISBN : 9780486828039

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Lectures on the Mathematical Method in Analytical Economics by Jacob T. Schwartz Pdf

An early but still useful and frequently cited contribution to the science of mathematical economics, this volume is geared toward graduate students in the field. Prerequisites include familiarity with the basic theory of matrices and linear transformations and with elementary calculus. Author Jacob T. Schwartz begins his treatment with an exploration of the Leontief input-output model, which forms a general framework for subsequent material. An introductory treatment of price theory in the Leontief model is followed by an examination of the business-cycle theory, following ideas pioneered by Lloyd Metzler and John Maynard Keynes. In the final section, Schwartz applies the teachings of previous chapters to a critique of the general equilibrium approach devised by Léon Walras as the theory of supply and demand, and he synthesizes the notions of Walras and Keynes. 1961 edition.

Author : Lothar Collatz
Publisher : Academic Press
Page : 494 pages
File Size : 49,8 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483264004

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Functional Analysis and Numerical Mathematics by Lothar Collatz Pdf

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.