Computational Functional Analysis Book

Computational Functional Analysis


  • Author : Ramon E Moore
  • Publisher : Elsevier
  • Release Date : 2007-06-01
  • Genre: Technology & Engineering
  • Pages : 212
  • ISBN 10 : 9780857099433

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Computational Functional Analysis Book Description :

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

An Introduction to Functional Analysis in Computational Mathematics Book

An Introduction to Functional Analysis in Computational Mathematics


  • Author : V.I. Lebedev
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Mathematics
  • Pages : 256
  • ISBN 10 : 9781461241287

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An Introduction to Functional Analysis in Computational Mathematics Book Description :

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. This edition in English contains some additions and changes as compared to the second edition in Russian; discovered errors and misprints had been corrected again here; to the author's distress, they jump incomprehensibly from one edition to another as fleas. The list of literature is far from being complete; just a number of textbooks and monographs published in Russian have been included. The author is grateful to S. Gerasimova for her help and patience in the complex process of typing the mathematical manuscript while the author corrected, rearranged, supplemented, simplified, general ized, and improved as it seemed to him the book's contents. The author thanks G. Kontarev for the difficult job of translation and V. Klyachin for the excellent figures.

An Introduction to Functional Analysis in Computational Mathematics Book

An Introduction to Functional Analysis in Computational Mathematics


  • Author : V.I. Lebedev
  • Publisher : Birkhäuser
  • Release Date : 1996-12-01
  • Genre: Mathematics
  • Pages : 256
  • ISBN 10 : 0817638881

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An Introduction to Functional Analysis in Computational Mathematics Book Description :

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. This edition in English contains some additions and changes as compared to the second edition in Russian; discovered errors and misprints had been corrected again here; to the author's distress, they jump incomprehensibly from one edition to another as fleas. The list of literature is far from being complete; just a number of textbooks and monographs published in Russian have been included. The author is grateful to S. Gerasimova for her help and patience in the complex process of typing the mathematical manuscript while the author corrected, rearranged, supplemented, simplified, general ized, and improved as it seemed to him the book's contents. The author thanks G. Kontarev for the difficult job of translation and V. Klyachin for the excellent figures.

Computational Functional Analysis Book

Computational Functional Analysis


  • Author : Ramon E. Moore
  • Publisher :
  • Release Date : 1985
  • Genre: Analyse fonctionnelle
  • Pages : 156
  • ISBN 10 : 0853128146

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Computational Functional Analysis Book Description :

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 the implications of belonging to a community, and describes how they symbolise and utilise these boundaries to give substance to their values and identities.

Applied Functional Analysis Book

Applied Functional Analysis


  • Author : J. Tinsley Oden
  • Publisher : CRC Press
  • Release Date : 2017-12-01
  • Genre: Mathematics
  • Pages : 610
  • ISBN 10 : 9781498761161

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Applied Functional Analysis 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.

Applied Functional Analysis  Second Edition Book

Applied Functional Analysis Second Edition


  • Author : J. Tinsley Oden
  • Publisher : CRC Press
  • Release Date : 2010-03-02
  • Genre: Mathematics
  • Pages : 596
  • ISBN 10 : 9781420091953

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Applied Functional Analysis Second Edition Book Description :

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 with new examples that often reflect the authors’ own vast research experiences and perspectives. This edition also provides many more exercises as well as a solutions manual for qualifying instructors. Each chapter begins with an extensive introduction and concludes with a summary and historical comments that frequently refer to other sources. New to the Second Edition Completely revised section on lim sup and lim inf New discussions of connected sets, probability, Bayesian statistical inference, and the generalized (integral) Minkowski inequality New sections on elements of multilinear algebra and determinants, the singular value decomposition theorem, the Cauchy principal value, and Hadamard finite part integrals New example of a Lebesgue non-measurable set Ideal for a two-semester course, this proven textbook teaches students how to prove theorems and prepares them for further study of more advanced mathematical topics. It helps them succeed in formulating research questions in a mathematically rigorous way.

Computational Functional Analysis Book

Computational Functional Analysis


  • Author : Ramon E. Moore
  • Publisher :
  • Release Date : 1985
  • Genre: Analyse fonctionnelle
  • Pages : 156
  • ISBN 10 : 0853128073

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Computational Functional Analysis Book Description :

Theoretical Chemistry for Advanced Nanomaterials Book

Theoretical Chemistry for Advanced Nanomaterials


  • Author : Taku Onishi
  • Publisher : Springer Nature
  • Release Date : 2020-02-03
  • Genre: Science
  • Pages : 544
  • ISBN 10 : 9789811500060

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Theoretical Chemistry for Advanced Nanomaterials Book Description :

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 conducting nanomaterials, high-k dielectric nanomaterials, and organic electronics are focused on. In Part III, the interplay between computational and experimental approaches is explained. The chapters show calculation results, combined with corresponding experimental data. Dimensionality of nanomaterials, electronic structure of oligomers and nanorods, carbon nanomaterials, and the electronic structure of a nanosized sandwich cluster is looked at carefully. In Part IV, functionality analysis is explained from the point of view of the experimental approach. The emphasis is on the mechanism of photoluminescence and hydrogen generation using silicon nanopowder, the superionic conducting mechanism of glass ceramics, nanoclusters formation on the surface of metal oxides, and the magnetic property of an organic one-dimensional nanochannel. Finally, forthcoming theoretical methods for excited states and quantum dynamics are introduced in Part V.

Computational Mathematics and Variational Analysis Book

Computational Mathematics and Variational Analysis


  • Author : Nicholas J. Daras
  • Publisher : Springer Nature
  • Release Date : 2020-06-06
  • Genre: Mathematics
  • Pages : 568
  • ISBN 10 : 9783030446253

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Computational Mathematics and Variational Analysis Book Description :

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 operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Functional Analysis and Applications Book

Functional Analysis and Applications


  • Author : Abul Hasan Siddiqi
  • Publisher : Springer
  • Release Date : 2018-05-04
  • Genre: Mathematics
  • Pages : 562
  • ISBN 10 : 9789811037252

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Functional Analysis and Applications Book Description :

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. The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.

Computational and Experimental Analysis of Functional Materials Book

Computational and Experimental Analysis of Functional Materials


  • Author : Oleksandr V. Reshetnyak
  • Publisher : CRC Press
  • Release Date : 2017-03-27
  • Genre: Science
  • Pages : 532
  • ISBN 10 : 9781771883436

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Computational and Experimental Analysis of Functional Materials Book Description :

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 an influence of such phenomena on the applied aspects of the polyaniline and nanocomposites on its basis applications.

Computational Functional Analysis Book

Computational Functional Analysis


  • Author : Ramon E. Moore
  • Publisher :
  • Release Date : 1985
  • Genre: Analyse fonctionnelle
  • Pages : 156
  • ISBN 10 : 0853128073

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Computational Functional Analysis Book Description :

A Friendly Approach to Functional Analysis Book

A Friendly Approach to Functional Analysis


  • Author : Amol Sasane
  • Publisher : World Scientific Publishing Company
  • Release Date : 2017-02-20
  • Genre:
  • Pages : 396
  • ISBN 10 : 9781786343369

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A Friendly Approach to Functional Analysis Book Description :

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 the book ideal also for self-study. A Friendly Approach to Functional Analysis is written specifically for undergraduate students of pure mathematics and engineering, and those studying joint programmes with mathematics. Request Inspection Copy