Functional Analysis and Approximation Theory in Numerical Analysis

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Publisher : SIAM
ISBN 13 : 0898710030
Total Pages : 81 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Functional Analysis and Approximation Theory in Numerical Analysis by : R. S. Varga

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.

Functional Analysis, Approximation Theory, and Numerical Analysis

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Publisher : World Scientific
ISBN 13 : 9789810207373
Total Pages : 342 pages
Book Rating : 4.2/5 (73 download)

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Book Synopsis Functional Analysis, Approximation Theory, and Numerical Analysis by : John Michael Rassias

Download or read book Functional Analysis, Approximation Theory, and Numerical Analysis written by John Michael Rassias and published by World Scientific. This book was released on 1994 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of papers written by outstanding mathematicians. It deals with both theoretical and applied aspects of the mathematical contributions of BANACH, ULAM, and OSTROWSKI, which broaden the horizons of Functional Analysis, Approximation Theory, and Numerical Analysis in accordance with contemporary mathematical standards.

Complex Analysis, Functional Analysis and Approximation Theory

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Publisher : Elsevier
ISBN 13 : 9780080872360
Total Pages : 296 pages
Book Rating : 4.8/5 (723 download)

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Book Synopsis Complex Analysis, Functional Analysis and Approximation Theory by : J. Mujica

Download or read book Complex Analysis, Functional Analysis and Approximation Theory written by J. Mujica and published by Elsevier. This book was released on 1986-05-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume contains papers of research of expository nature, and is addressed to research workers and advanced graduate students in mathematics. Some of the papers are the written and expanded texts of lectures delivered at the conference, whereas others have been included by invitation.

Applied Functional Analysis. Approximation Methods and Computers

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Publisher : CRC Press
ISBN 13 : 9781420050127
Total Pages : 408 pages
Book Rating : 4.0/5 (51 download)

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Book Synopsis Applied Functional Analysis. Approximation Methods and Computers by : S.S. Kutateladze

Download or read book Applied Functional Analysis. Approximation Methods and Computers written by S.S. Kutateladze and published by CRC Press. This book was released on 2010-12-12 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.

Functional Analysis and Approximation Theory in Numerical Analysis

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Publisher :
ISBN 13 :
Total Pages : 76 pages
Book Rating : 4.:/5 (963 download)

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Book Synopsis Functional Analysis and Approximation Theory in Numerical Analysis by : Richard S. Varga

Download or read book Functional Analysis and Approximation Theory in Numerical Analysis written by Richard S. Varga and published by . This book was released on 1971 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Analysis and Approximation Theory in Numerical Analysis

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis Functional Analysis and Approximation Theory in Numerical Analysis by :

Download or read book Functional Analysis and Approximation Theory in Numerical Analysis written by and published by . This book was released on 1973 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Functional Analysis. Approximation Methods and Computers

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Publisher : CRC Press
ISBN 13 : 1420050125
Total Pages : 400 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Applied Functional Analysis. Approximation Methods and Computers by : S.S. Kutateladze

Download or read book Applied Functional Analysis. Approximation Methods and Computers written by S.S. Kutateladze and published by CRC Press. This book was released on 2010-12-12 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the most remarkable papers of L.V. Kantorovich in applied and numerical mathematics. It explores the principal directions of Kantorovich's research in approximate methods. The book covers descriptive set theory and functional analysis in semi-ordered vector spaces.

An Introduction to the Approximation of Functions

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Publisher : Courier Corporation
ISBN 13 : 9780486640693
Total Pages : 164 pages
Book Rating : 4.6/5 (46 download)

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Book Synopsis An Introduction to the Approximation of Functions by : Theodore J. Rivlin

Download or read book An Introduction to the Approximation of Functions written by Theodore J. Rivlin and published by Courier Corporation. This book was released on 1981-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.

Functional Analysis and Approximation

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Publisher : Birkhäuser
ISBN 13 : 3034893698
Total Pages : 461 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Functional Analysis and Approximation by : P.L. Butzer

Download or read book Functional Analysis and Approximation written by P.L. Butzer and published by Birkhäuser. This book was released on 2013-03-07 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings form a record of the lectures presented at the interna tional Conference on Functional Analysis and Approximation held at the Ober wolfach Mathematical Research Institute, August 9-16, 1980. They include 33 of the 38 invited conference papers, as well as three papers subsequently submitted in writing. Further, there is a report devoted to new and unsolved problems, based on two special sessions of the conference. The present volume is the sixth Oberwolfach Conference in Birkhauser's ISNM series to be edited at Aachen *. It is once again devoted to more significant results obtained in the wide areas of approximation theory, harmonic analysis, functional analysis, and operator theory during the past three years. Many of the papers solicited not only outline fundamental advances in their fields but also focus on interconnections between the various research areas. The papers in the present volume have been grouped into nine chapters. Chapter I, on operator theory, deals with maps on positive semidefinite opera tors, spectral bounds of semigroup operators, evolution equations of diffusion type, the spectral theory of propagators, and generalized inverses. Chapter II, on functional analysis, contains papers on modular approximation, interpolation spaces, and unconditional bases.

Functional Analysis, Holomorphy, and Approximation Theory

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Publisher : CRC Press
ISBN 13 : 1000111032
Total Pages : 473 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Functional Analysis, Holomorphy, and Approximation Theory by : Guido I. Zapata

Download or read book Functional Analysis, Holomorphy, and Approximation Theory written by Guido I. Zapata and published by CRC Press. This book was released on 2020-12-22 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains papers on complex analysis, function spaces, harmonic analysis, and operators, presented at the International seminar on Functional Analysis, Holomorphy, and Approximation Theory held in 1979. It is addressed to mathematicians and advanced graduate students in mathematics.

Functional Analysis and Approximation

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Publisher : Birkhauser
ISBN 13 : 9780817612122
Total Pages : 500 pages
Book Rating : 4.6/5 (121 download)

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Book Synopsis Functional Analysis and Approximation by : Birkhauser Boston Inc

Download or read book Functional Analysis and Approximation written by Birkhauser Boston Inc and published by Birkhauser. This book was released on 1981-12-01 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Functional Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 147044190X
Total Pages : 466 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Functional Analysis by : Theo Bühler

Download or read book Functional Analysis written by Theo Bühler and published by American Mathematical Soc.. This book was released on 2018-08-08 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: It begins in Chapter 1 with an introduction to the necessary foundations, including the Arzelà–Ascoli theorem, elementary Hilbert space theory, and the Baire Category Theorem. Chapter 2 develops the three fundamental principles of functional analysis (uniform boundedness, open mapping theorem, Hahn–Banach theorem) and discusses reflexive spaces and the James space. Chapter 3 introduces the weak and weak topologies and includes the theorems of Banach–Alaoglu, Banach–Dieudonné, Eberlein–Šmulyan, Kre&ibreve;n–Milman, as well as an introduction to topological vector spaces and applications to ergodic theory. Chapter 4 is devoted to Fredholm theory. It includes an introduction to the dual operator and to compact operators, and it establishes the closed image theorem. Chapter 5 deals with the spectral theory of bounded linear operators. It introduces complex Banach and Hilbert spaces, the continuous functional calculus for self-adjoint and normal operators, the Gelfand spectrum, spectral measures, cyclic vectors, and the spectral theorem. Chapter 6 introduces unbounded operators and their duals. It establishes the closed image theorem in this setting and extends the functional calculus and spectral measure to unbounded self-adjoint operators on Hilbert spaces. Chapter 7 gives an introduction to strongly continuous semigroups and their infinitesimal generators. It includes foundational results about the dual semigroup and analytic semigroups, an exposition of measurable functions with values in a Banach space, and a discussion of solutions to the inhomogeneous equation and their regularity properties. The appendix establishes the equivalence of the Lemma of Zorn and the Axiom of Choice, and it contains a proof of Tychonoff's theorem. With 10 to 20 elaborate exercises at the end of each chapter, this book can be used as a text for a one-or-two-semester course on functional analysis for beginning graduate students. Prerequisites are first-year analysis and linear algebra, as well as some foundational material from the second-year courses on point set topology, complex analysis in one variable, and measure and integration.

Functional Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486145107
Total Pages : 802 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Functional Analysis by : R.E. Edwards

Download or read book Functional Analysis written by R.E. Edwards and published by Courier Corporation. This book was released on 2012-10-25 with total page 802 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book contains an enormous amount of information — mathematical, bibliographical and historical — interwoven with some outstanding heuristic discussions." — Mathematical Reviews. In this massive graduate-level study, Emeritus Professor Edwards (Australian National University, Canberra) presents a balanced account of both the abstract theory and the applications of linear functional analysis. Written for readers with a basic knowledge of set theory, general topology, and vector spaces, the book includes an abundance of carefully chosen illustrative examples and excellent exercises at the end of each chapter. Beginning with a chapter of preliminaries on set theory and topology, Dr. Edwards then presents detailed, in-depth discussions of vector spaces and topological vector spaces, the Hahn-Banach theorem (including applications to potential theory, approximation theory, game theory, and other fields) and fixed-point theorems. Subsequent chapters focus on topological duals of certain spaces: radon measures, distribution and linear partial differential equations, open mapping and closed graph theorems, boundedness principles, duality theory, the theory of compact operators and the Krein-Milman theorem and its applications to commutative harmonic analysis. Clearly and concisely written, Dr. Edwards's book offers rewarding reading to mathematicians and physicists with an interest in the important field of functional analysis. Because of the broad scope of its coverage, this volume will be especially valuable to the reader with a basic knowledge of functional analysis who wishes to learn about parts of the subject other than his own specialties. A comprehensive 32-page bibliography supplies a rich source of references to the basic literature.

Methods of Functional Analysis in Approximation Theory

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Publisher :
ISBN 13 :
Total Pages : 420 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Methods of Functional Analysis in Approximation Theory by : Charles A. Micchelli

Download or read book Methods of Functional Analysis in Approximation Theory written by Charles A. Micchelli and published by . This book was released on 1986 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Analysis

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Publisher : Springer
ISBN 13 : 8132218833
Total Pages : 362 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Nonlinear Analysis by : Qamrul Hasan Ansari

Download or read book Nonlinear Analysis written by Qamrul Hasan Ansari and published by Springer. This book was released on 2014-06-05 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering. It is immensely helpful for young graduates and researchers who are pursuing research in this field, as it provides abundant research resources for researchers and post-doctoral fellows. This will be a valuable addition to the library of anyone who works in the field of applied mathematics, economics and engineering.

Functional Analysis and Numerical Mathematics

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Publisher : Academic Press
ISBN 13 : 1483264009
Total Pages : 494 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Functional Analysis and Numerical Mathematics by : Lothar Collatz

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.

The Theory of Best Approximation and Functional Analysis

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Publisher : SIAM
ISBN 13 : 9781611970548
Total Pages : 102 pages
Book Rating : 4.9/5 (75 download)

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Book Synopsis The Theory of Best Approximation and Functional Analysis by : Ivan Singer

Download or read book The Theory of Best Approximation and Functional Analysis written by Ivan Singer and published by SIAM. This book was released on 1974-01-01 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt: Results and problems in the modern theory of best approximation, in which the methods of functional analysis are applied in a consequent manner. This modern theory constitutes both a unified foundation for the classical theory of best approximation and a powerful tool for obtaining new results.