Applied Functional Analysis

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Applied Functional Analysis

Applied Functional Analysis

Applications to Mathematical Physics

  • Author: Eberhard Zeidler
  • Publisher: Springer Science & Business Media
  • ISBN: 1461208157
  • Category: Mathematics
  • Page: 481
  • View: 8324
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The first part of a self-contained, elementary textbook, combining linear functional analysis, nonlinear functional analysis, numerical functional analysis, and their substantial applications with each other. As such, the book addresses undergraduate students and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world. Applications concern ordinary and partial differential equations, the method of finite elements, integral equations, special functions, both the Schroedinger approach and the Feynman approach to quantum physics, and quantum statistics. As a prerequisite, readers should be familiar with some basic facts of calculus. The second part has been published under the title, Applied Functional Analysis: Main Principles and Their Applications.

Applied Functional Analysis

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Applied Functional Analysis

Applied Functional Analysis

  • Author: Jean-Pierre Aubin
  • Publisher: John Wiley & Sons
  • ISBN: 1118030974
  • Category: Mathematics
  • Page: 520
  • View: 7725
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A novel, practical introduction to functional analysis In the twenty years since the first edition of Applied FunctionalAnalysis was published, there has been an explosion in the numberof books on functional analysis. Yet none of these offers theunique perspective of this new edition. Jean-Pierre Aubin updateshis popular reference on functional analysis with new insights andrecent discoveries-adding three new chapters on set-valued analysisand convex analysis, viability kernels and capture basins, andfirst-order partial differential equations. He presents, for thefirst time at an introductory level, the extension of differentialcalculus in the framework of both the theory of distributions andset-valued analysis, and discusses their application for studyingboundary-value problems for elliptic and parabolic partialdifferential equations and for systems of first-order partialdifferential equations. To keep the presentation concise and accessible, Jean-Pierre Aubinintroduces functional analysis through the simple Hilbertianstructure. He seamlessly blends pure mathematics with applied areasthat illustrate the theory, incorporating a broad range of examplesfrom numerical analysis, systems theory, calculus of variations,control and optimization theory, convex and nonsmooth analysis, andmore. Finally, a summary of the essential theorems as well asexercises reinforcing key concepts are provided. Applied FunctionalAnalysis, Second Edition is an excellent and timely resource forboth pure and applied mathematicians.

Applied Functional Analysis

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Applied Functional Analysis

Applied Functional Analysis

Main Principles and Their Applications

  • Author: Eberhard Zeidler
  • Publisher: Springer Science & Business Media
  • ISBN: 9780387944227
  • Category: Mathematics
  • Page: 406
  • View: 6753
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The second part of an elementary textbook which combines linear functional analysis, nonlinear functional analysis, and their substantial applications. The book addresses undergraduates and beginning graduates of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems which relate to our real world and which play an important role in the history of mathematics. The books approach is to attempt to determine the most important applications. These concern integral equations, differential equations, bifurcation theory, the moment problem, Cebysev approximation, the optimal control of rockets, game theory, symmetries and conservation laws, the quark model, and gauge theory in elementary particle physics. The presentation is self-contained and requires only that readers be familiar with some basic facts of calculus.

Applied Functional Analysis

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Applied Functional Analysis

Applied Functional Analysis

  • Author: Alampallam V. Balakrishnan
  • Publisher: Springer Science & Business Media
  • ISBN: 1461258650
  • Category: Mathematics
  • Page: 373
  • View: 6381
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In preparing the second edition, I have taken advantage of the opportunity to correct errors as well as revise the presentation in many places. New material has been included, in addition, reflecting relevant recent work. The help of many colleagues (and especially Professor J. Stoer) in ferreting out errors is gratefully acknowledged. I also owe special thanks to Professor v. Sazonov for many discussions on the white noise theory in Chapter 6. February, 1981 A. V. BALAKRISHNAN v Preface to the First Edition The title "Applied Functional Analysis" is intended to be short for "Functional analysis in a Hilbert space and certain of its applications," the applications being drawn mostly from areas variously referred to as system optimization or control systems or systems analysis. One of the signs of the times is a discernible tilt toward application in mathematics and conversely a greater level of mathematical sophistication in the application areas such as economics or system science, both spurred undoubtedly by the heightening pace of digital computer usage. This book is an entry into this twilight zone. The aspects of functional analysis treated here are rapidly becoming essential in the training at the advance graduate level of system scientists and/or mathematical economists. There are of course now available many excellent treatises on functional analysis.

Applied Functional Analysis and Partial Differential Equations

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Applied Functional Analysis and Partial Differential Equations

Applied Functional Analysis and Partial Differential Equations

  • Author: Milan Miklav?i?
  • Publisher: World Scientific
  • ISBN: 9789810235352
  • Category: Mathematics
  • Page: 294
  • View: 5303
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This book is an introduction to partial differential equations (PDEs) and the relevant functional analysis tools which they require. It is based on a course which has been taught at Michigan State University for a number of years. The purpose of the course, and of the book, is to give students a rapid and solid research-oriented foundation in areas of PDEs, such as semilinear parabolic equations, that include studies of the stability of fluid flows and, more generally, of the dynamics generated by dissipative systems, numerical PDEs, elliptic and hyperbolic PDEs, and quantum mechanics.

Fundamentals of Applied Functional Analysis

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Fundamentals of Applied Functional Analysis

Fundamentals of Applied Functional Analysis

  • Author: Dragisa Mitrovic,Darko Zubrinic
  • Publisher: CRC Press
  • ISBN: 9780582246942
  • Category: Mathematics
  • Page: 416
  • View: 1203
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Applied Functional Analysis

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Applied Functional Analysis

Applied Functional Analysis

Numerical Methods, Wavelet Methods, and Image Processing

  • Author: Abul Hasan Siddiqi
  • Publisher: CRC Press
  • ISBN: 0824756622
  • Category: Mathematics
  • Page: 660
  • View: 5066
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The methods of functional analysis have helped solve diverse real-world problems in optimization, modeling, analysis, numerical approximation, and computer simulation. Applied Functional Analysis presents functional analysis results surfacing repeatedly in scientific and technological applications and presides over the most current analytical and numerical methods in infinite-dimensional spaces. This reference highlights critical studies in projection theorem, Riesz representation theorem, and properties of operators in Hilbert space and covers special classes of optimization problems. Supported by 2200 display equations, this guide incorporates hundreds of up-to-date citations.

Applied Functional Analysis, Second Edition

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Applied Functional Analysis, Second Edition

Applied Functional Analysis, Second Edition

  • Author: J. Tinsley Oden,Leszek Demkowicz
  • Publisher: CRC Press
  • ISBN: 1420091956
  • Category: Mathematics
  • Page: 596
  • View: 3766
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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.

Applied Functional Analysis

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Applied Functional Analysis

Applied Functional Analysis

  • Author: D.H. Griffel
  • Publisher: Courier Corporation
  • ISBN: 0486141322
  • Category: Mathematics
  • Page: 390
  • View: 2067
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This introductory text examines applications of functional analysis to mechanics, fluid mechanics, diffusive growth, and approximation. Covers distribution theory, Banach spaces, Hilbert space, spectral theory, Frechet calculus, Sobolev spaces, more. 1985 edition.

A Course of Applied Functional Analysis

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A Course of Applied Functional Analysis

A Course of Applied Functional Analysis

  • Author: Arthur Wouk
  • Publisher: John Wiley & Sons
  • ISBN: N.A
  • Category: Análisis funcional
  • Page: 443
  • View: 3630
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