Computational Functional Analysis

This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ‘‘hybrid’’ method for difficult real-life problems, with a balance between coverage of linear and non-linear operator equations. The authors successful teaching philosophy: ‘‘We learn by doing’’ is reflected throughout the book. Contains 100 problem-exercises, answers and tutorial hints for students reading applied functional analysis Introduces interval analysis into the mainstream of computational functional analysis

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  • Author : Ramon E Moore
  • Publisher : Elsevier
  • Pages : 212 pages
  • ISBN : 0857099434
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKComputational Functional Analysis

Computational Functional Analysis

Computational Functional Analysis
  • Author : Ramon E Moore,Michael J Cloud
  • Publisher : Elsevier
  • Release : 01 June 2007
GET THIS BOOKComputational Functional Analysis

This course text fills a gap for first-year graduate-level students reading applied functional analysis or advanced engineering analysis and modern control theory. Containing 100 problem-exercises, answers, and tutorial hints, the first edition is often cited as a standard reference. Making a unique contribution to numerical analysis for operator equations, it introduces interval analysis into the mainstream of computational functional analysis, and discusses the elegant techniques for reproducing Kernel Hilbert spaces. There is discussion of a successful ‘‘hybrid’’ method for difficult real-life

An Introduction to Functional Analysis in Computational Mathematics

An Introduction to Functional Analysis in Computational Mathematics
  • Author : V.I. Lebedev
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKAn Introduction to Functional Analysis in Computational Mathematics

The book contains the methods and bases of functional analysis that are directly adjacent to the problems of numerical mathematics and its applications; they are what one needs for the understand ing from a general viewpoint of ideas and methods of computational mathematics and of optimization problems for numerical algorithms. Functional analysis in mathematics is now just the small visible part of the iceberg. Its relief and summit were formed under the influence of this author's personal experience and tastes.

Computational Functional Analysis

Computational Functional Analysis
  • Author : Ramon E. Moore
  • Publisher : Unknown Publisher
  • Release : 09 May 1985
GET THIS BOOKComputational Functional Analysis

Anthony Cohen makes a distinct break with earlier approaches to the study of community, which treated the subject in largely structural terms. His view is interpretive and experiential, seeing the community as a cultural field with a complex of symbols whose meanings vary among its members. He delineates a concept applicable to local and ethnic communities through which people see themselves as belonging to society. The emphasis on boundary is sensitive to the circumstances in which people become aware of

Applied Functional Analysis

Applied Functional Analysis
  • Author : J. Tinsley Oden,Leszek Demkowicz
  • Publisher : CRC Press
  • Release : 01 December 2017
GET THIS BOOKApplied Functional Analysis

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

Computational and Experimental Analysis of Functional Materials

Computational and Experimental Analysis of Functional Materials
  • Author : Oleksandr V. Reshetnyak,Gennady E. Zaikov
  • Publisher : CRC Press
  • Release : 27 March 2017
GET THIS BOOKComputational and Experimental Analysis of Functional Materials

This book looks at the synthesis of polyaniline by different methods, under different conditions, for various applications, and presents studies of its properties by a wide range of the modern physic-chemical methods. The book provides a comprehensive analysis of experimental results from the point of view of the correlations in the triad synthesis conditions–structurephysico–chemical properties. It combines the results of experimental investigations and original methodology of the description of physical–chemical and electrochemical phenomena at interface surfaces, showing

Functional Analysis, Sobolev Spaces and Partial Differential Equations

Functional Analysis, Sobolev Spaces and Partial Differential Equations
  • Author : Haim Brezis
  • Publisher : Springer Science & Business Media
  • Release : 02 November 2010
GET THIS BOOKFunctional Analysis, Sobolev Spaces and Partial Differential Equations

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

Functional Analysis and Applications

Functional Analysis and Applications
  • Author : Abul Hasan Siddiqi
  • Publisher : Springer
  • Release : 04 May 2018
GET THIS BOOKFunctional Analysis and Applications

This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced.

A Friendly Approach to Functional Analysis

A Friendly Approach to Functional Analysis
  • Author : Amol Sasane
  • Publisher : World Scientific Publishing Company
  • Release : 20 February 2017
GET THIS BOOKA Friendly Approach to Functional Analysis

This book constitutes a concise introductory course on Functional Analysis for students who have studied calculus and linear algebra. The topics covered are Banach spaces, continuous linear transformations, Frechet derivative, geometry of Hilbert spaces, compact operators, and distributions. In addition, the book includes selected applications of functional analysis to differential equations, optimization, physics (classical and quantum mechanics), and numerical analysis. The book contains 197 problems, meant to reinforce the fundamental concepts. The inclusion of detailed solutions to all the exercises makes

Theoretical Chemistry for Advanced Nanomaterials

Theoretical Chemistry for Advanced Nanomaterials
  • Author : Taku Onishi
  • Publisher : Springer Nature
  • Release : 03 February 2020
GET THIS BOOKTheoretical Chemistry for Advanced Nanomaterials

This book collects recent topics of theoretical chemistry for advanced nanomaterials from the points of view of both computational and experimental chemistry. It is written for computational and experimental chemists, including undergraduate students, who are working with advanced nanomaterials, where collaboration and interplay between computation and experiment are essential. After the general introduction of nanomaterials, several computational approaches are explained in Part II. Each chapter presents not only calculation methods but also concrete calculation results for advanced nanomaterials. Hydride ion

Computational Mathematics and Variational Analysis

Computational Mathematics and Variational Analysis
  • Author : Nicholas J. Daras,Themistocles M. Rassias
  • Publisher : Springer Nature
  • Release : 06 June 2020
GET THIS BOOKComputational Mathematics and Variational Analysis

This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone

Functional Analysis

Functional Analysis
  • Author : L. V. Kantorovich,G. P. Akilov
  • Publisher : Elsevier
  • Release : 18 May 2014
GET THIS BOOKFunctional Analysis

Functional Analysis examines trends in functional analysis as a mathematical discipline and the ever-increasing role played by its techniques in applications. The theory of topological vector spaces is emphasized, along with the applications of functional analysis to applied analysis. Some topics of functional analysis connected with applications to mathematical economics and control theory are also discussed. Comprised of 18 chapters, this book begins with an introduction to the elements of the theory of topological spaces, the theory of metric spaces, and

Elementary Functional Analysis

Elementary Functional Analysis
  • Author : Charles Swartz
  • Publisher : World Scientific Publishing Company Incorporated
  • Release : 09 May 2021
GET THIS BOOKElementary Functional Analysis

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications of functional analysis and explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces. Though Lebesgue integral is not discussed, the book offers an

Linear Functional Analysis

Linear Functional Analysis
  • Author : Bryan Rynne,M.A. Youngson
  • Publisher : Springer Science & Business Media
  • Release : 29 December 2007
GET THIS BOOKLinear Functional Analysis

This introduction to the ideas and methods of linear functional analysis shows how familiar and useful concepts from finite-dimensional linear algebra can be extended or generalized to infinite-dimensional spaces. Aimed at advanced undergraduates in mathematics and physics, the book assumes a standard background of linear algebra, real analysis (including the theory of metric spaces), and Lebesgue integration, although an introductory chapter summarizes the requisite material. A highlight of the second edition is a new chapter on the Hahn-Banach theorem and

Applied Functional Analysis, Second Edition

Applied Functional Analysis, Second Edition
  • Author : J. Tinsley Oden,Leszek Demkowicz
  • Publisher : CRC Press
  • Release : 02 March 2010
GET THIS BOOKApplied Functional Analysis, Second Edition

Through numerous illustrative examples and comments, Applied Functional Analysis, Second Edition demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. More specifically, the text prepares students to learn the variational theory of partial differential equations, distributions and Sobolev spaces, and numerical analysis with an emphasis on finite element methods. While retaining the structure of its best-selling predecessor, this second edition includes revisions of many original examples, along