A First Look at Numerical Functional Analysis PDF Download
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Author: W. W. Sawyer
Publisher: Courier Dover Publications
ISBN: 0486478823
Category : Mathematics
Languages : en
Pages : 210
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Book Description
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: W. W. Sawyer
Publisher: Courier Dover Publications
ISBN: 0486478823
Category : Mathematics
Languages : en
Pages : 210
Get Book Here
Book Description
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:
Category : Mathematics
Languages : en
Pages : 210
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Book Description
Author: Walter Warwick Sawyer
Publisher: Oxford : Clarendon Press
ISBN: 9780198596295
Category : Functional analysis
Languages : en
Pages : 186
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Book Description
Author: Haim Brezis
Publisher: Springer Science & Business Media
ISBN: 0387709142
Category : Mathematics
Languages : en
Pages : 600
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Book Description
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.
Author: James G. Simmonds
Publisher: Courier Corporation
ISBN: 0486315584
Category : Mathematics
Languages : en
Pages : 162
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Book Description
Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.
Author: Richard Johnsonbaugh
Publisher: Courier Corporation
ISBN: 0486134776
Category : Mathematics
Languages : en
Pages : 450
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Book Description
Definitive look at modern analysis, with views of applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis. More than 750 exercises; some hints and solutions. 1981 edition.
Author: J. Tinsley Oden
Publisher: CRC Press
ISBN: 149876116X
Category : Mathematics
Languages : en
Pages : 633
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Book Description
Applied Functional Analysis, Third Edition provides a solid mathematical foundation for the subject. It motivates students to study functional analysis by providing many contemporary applications and examples drawn from mechanics and science. This well-received textbook starts with a thorough introduction to modern mathematics before continuing with detailed coverage of linear algebra, Lebesque measure and integration theory, plus topology with metric spaces. The final two chapters provides readers with an in-depth look at the theory of Banach and Hilbert spaces before concluding with a brief introduction to Spectral Theory. The Third Edition is more accessible and promotes interest and motivation among students to prepare them for studying the mathematical aspects of numerical analysis and the mathematical theory of finite elements.
Author: Louis A. Graham
Publisher: Courier Dover Publications
ISBN: 0486820769
Category : Mathematics
Languages : en
Pages : 161
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Book Description
An unusual problem book that focuses on the method of solution, this collection spotlights 52 problems, each with several approaches to situations involving measurement of geometrical spaces, probabilities, distances, relative motion, more.
Author: H. K. Nickerson
Publisher: Courier Corporation
ISBN: 0486480909
Category : Mathematics
Languages : en
Pages : 561
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Book Description
"Classroom-tested in a Princeton University honors course, this text offers a unified introduction to advanced calculus. Starting with an abstract treatment of vector spaces and linear transforms, the authors present a corresponding theory of integration, concluding with a series of applications to analytic functions of complex variables. 1959 edition"--
Author: Peter McCullagh
Publisher: Courier Dover Publications
ISBN: 0486823784
Category : Mathematics
Languages : en
Pages : 308
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Book Description
A pioneering monograph on tensor methods applied to distributional problems arising in statistics, this work begins with the study of multivariate moments and cumulants. An invaluable reference for graduate students and professional statisticians. 1987 edition.
