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Functional Analysis with Current Applications in Science, Technology and Industry

Author: Martin Brokate

Publisher: CRC Press

Published: 2021-02-28

Total Pages: 360

ISBN-13: 1000658384

This volume constitutes the proceedings of a conference on functional analysis and its applications, which took place in India during December 1996. Topics include topological vector spaces, Banach algebras, meromorphic functions, partial differential equations, variational equations and inequalities, optimization, wavelets, elastroplasticity, numerical integration, fractal image compression, reservoir simulation, forest management, and industrial maths.

Functional Analysis with Current Applications in Science, Technology and Industry

Author: Martin Brokate

Publisher: Addison Wesley Publishing Company

Published: 1998-01-01

Total Pages: 320

ISBN-13: 9780201360424

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Functional Analysis and Applications

Author: Abul Hasan Siddiqi

Publisher: Springer

Published: 2018-05-04

Total Pages: 566

ISBN-13: 9811037256

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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.

Applied Functional Analysis

Author: Abul Hasan Siddiqi

Publisher: CRC Press

Published: 2003-09

Total Pages: 536

ISBN-13: 0824756622

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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

Author: Eberhard Zeidler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 503

ISBN-13: 1461208157

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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

Author: Abul Hasan Siddiqi

Publisher: CRC Press

Published: 2003-09-19

Total Pages: 614

ISBN-13: 9780203913017

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Introduction to Functional Analysis with Applications

Author: A. H. Siddiqi

Publisher: Anshan Pub

Published: 2006

Total Pages: 0

ISBN-13: 9781904798910

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As science and technology are increasingly refined and interrelated, the demand for mathematical concepts beyond vector algebra and differential and integral calculus has greatly increased. There are four fundamental theorems dealing with properties of functionals and operators called Hahn-Banach theorem, Banach-Steinhaus theorem, Open mapping theorem and Closed graph theorem. Notions of differentiability and integrability of operators are also studied in functional analysis. Applications of functional analysis to operator equations, boundary value problems, optimization, variational inequalities, finite element methods, optimal control and wavelets are all discussed at length, reflecting current trends in the study of functional analysis. This book introduces the above concepts in a way accessible to readers having minimum possible prerequisite of undergraduate mathematics.

Applications of Functional Analysis and Operator Theory

Author: V. Hutson

Publisher: Elsevier

Published: 2005-02-08

Total Pages: 442

ISBN-13: 0080527310

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Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results Introduces each new topic with a clear, concise explanation Includes numerous examples linking fundamental principles with applications Solidifies the reader's understanding with numerous end-of-chapter problems

Functional Analysis

Author: Nino Boccara

Publisher: Elsevier

Published: 1990-10-25

Total Pages: 342

ISBN-13: 0080916961

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Based on a third-year course for French students of physics, this book is a graduate text in functional analysis emphasizing applications to physics. It introduces Lebesgue integration, Fourier and Laplace transforms, Hilbert space theory, theory of distribution a la Laurent Schwartz, linear operators, and spectral theory. It contains numerous examples and completely worked out exercises.

Fixed Point Theory and Applications

Author: Yeol Je Cho

Publisher: Nova Publishers

Published: 2007-08

Total Pages: 216

ISBN-13: 9781594548772

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This volume deals with new topics in the areas of fixed point theory, variational inequality and complementarity problem theory, non-linear ergodic theory, difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.