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Functional Analysis For The Applied Sciences
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Book Synopsis Applied Functional Analysis by : Eberhard Zeidler
Download or read book Applied Functional Analysis written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Functional Analysis for the Applied Sciences by : Gheorghe Moroşanu
Download or read book Functional Analysis for the Applied Sciences written by Gheorghe Moroşanu and published by Springer Nature. This book was released on 2019-12-27 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving differential and integral equations. Exercises at the end of each chapter help the reader to understand the richness of ideas and methods offered by Functional Analysis. Some of the exercises supplement theoretical material, while others relate to the real world. This textbook, with its friendly exposition, focuses on different problems in physics and other applied sciences and uniquely provides solutions to most of the exercises. The text is aimed toward graduate students and researchers in applied mathematics, physics, and neighboring fields of science.
Book Synopsis Applied Functional Analysis by : J. Tinsley Oden
Download or read book Applied Functional Analysis written by J. Tinsley Oden and published by CRC Press. This book was released on 2017-12-01 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applied Algebra and Functional Analysis by : Anthony N. Michel
Download or read book Applied Algebra and Functional Analysis written by Anthony N. Michel and published by Courier Corporation. This book was released on 1993-01-01 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: "A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.
Book Synopsis Introductory Functional Analysis with Applications by : Erwin Kreyszig
Download or read book Introductory Functional Analysis with Applications written by Erwin Kreyszig and published by John Wiley & Sons. This book was released on 1991-01-16 with total page 706 pages. Available in PDF, EPUB and Kindle. Book excerpt: KREYSZIG The Wiley Classics Library consists of selected books originally published by John Wiley & Sons that have become recognized classics in their respective fields. With these new unabridged and inexpensive editions, Wiley hopes to extend the life of these important works by making them available to future generations of mathematicians and scientists. Currently available in the Series: Emil Artin Geometnc Algebra R. W. Carter Simple Groups Of Lie Type Richard Courant Differential and Integrai Calculus. Volume I Richard Courant Differential and Integral Calculus. Volume II Richard Courant & D. Hilbert Methods of Mathematical Physics, Volume I Richard Courant & D. Hilbert Methods of Mathematical Physics. Volume II Harold M. S. Coxeter Introduction to Modern Geometry. Second Edition Charles W. Curtis, Irving Reiner Representation Theory of Finite Groups and Associative Algebras Nelson Dunford, Jacob T. Schwartz unear Operators. Part One. General Theory Nelson Dunford. Jacob T. Schwartz Linear Operators, Part Two. Spectral Theory—Self Adjant Operators in Hilbert Space Nelson Dunford, Jacob T. Schwartz Linear Operators. Part Three. Spectral Operators Peter Henrici Applied and Computational Complex Analysis. Volume I—Power Senes-lntegrauon-Contormal Mapping-Locatvon of Zeros Peter Hilton, Yet-Chiang Wu A Course in Modern Algebra Harry Hochstadt Integral Equations Erwin Kreyszig Introductory Functional Analysis with Applications P. M. Prenter Splines and Variational Methods C. L. Siegel Topics in Complex Function Theory. Volume I —Elliptic Functions and Uniformizatton Theory C. L. Siegel Topics in Complex Function Theory. Volume II —Automorphic and Abelian Integrals C. L. Siegel Topics In Complex Function Theory. Volume III —Abelian Functions & Modular Functions of Several Variables J. J. Stoker Differential Geometry
Book Synopsis Applications of Mathematics by : A. V. Balakrishnan
Download or read book Applications of Mathematics written by A. V. Balakrishnan and published by Springer. This book was released on 1981-05-04 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applied Functional Analysis by : J. Tinsley Oden
Download or read book Applied Functional Analysis written by J. Tinsley Oden and published by CRC Press. This book was released on 2017-12-01 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Principles of Functional Analysis by : Martin Schechter
Download or read book Principles of Functional Analysis written by Martin Schechter and published by American Mathematical Soc.. This book was released on 2001-11-13 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent book provides an elegant introduction to functional analysis ... carefully selected problems ... This is a nicely written book of great value for stimulating active work by students. It can be strongly recommended as an undergraduate or graduate text, or as a comprehensive book for self-study. --European Mathematical Society Newsletter Functional analysis plays a crucial role in the applied sciences as well as in mathematics. It is a beautiful subject that can be motivated and studied for its own sake. In keeping with this basic philosophy, the author has made this introductory text accessible to a wide spectrum of students, including beginning-level graduates and advanced undergraduates. The exposition is inviting, following threads of ideas, describing each as fully as possible, before moving on to a new topic. Supporting material is introduced as appropriate, and only to the degree needed. Some topics are treated more than once, according to the different contexts in which they arise. The prerequisites are minimal, requiring little more than advanced calculus and no measure theory. The text focuses on normed vector spaces and their important examples, Banach spaces and Hilbert spaces. The author also includes topics not usually found in texts on the subject. This Second Edition incorporates many new developments while not overshadowing the book's original flavor. Areas in the book that demonstrate its unique character have been strengthened. In particular, new material concerning Fredholm and semi-Fredholm operators is introduced, requiring minimal effort as the necessary machinery was already in place. Several new topics are presented, but relate to only those concepts and methods emanating from other parts of the book. These topics include perturbation classes, measures of noncompactness, strictly singular operators, and operator constants. Overall, the presentation has been refined, clarified, and simplified, and many new problems have been added. The book is recommended to advanced undergraduates, graduate students, and pure and applied research mathematicians interested in functional analysis and operator theory.
Book Synopsis Functional Analysis in Interdisciplinary Applications—II by : Allaberen Ashyralyev
Download or read book Functional Analysis in Interdisciplinary Applications—II written by Allaberen Ashyralyev and published by Springer Nature. This book was released on 2021-07-03 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis is an important branch of mathematical analysis which deals with the transformations of functions and their algebraic and topological properties. Motivated by their large applicability to real life problems, applications of functional analysis have been the aim of an intensive study effort in the last decades, yielding significant progress in the theory of functions and functional spaces, differential and difference equations and boundary value problems, differential and integral operators and spectral theory, and mathematical methods in physical and engineering sciences. The present volume is devoted to these investigations. The publication of this collection of papers is based on the materials of the mini-symposium "Functional Analysis in Interdisciplinary Applications" organized in the framework of the Fourth International Conference on Analysis and Applied Mathematics (ICAAM 2018, September 6–9, 2018). Presenting a wide range of topics and results, this book will appeal to anyone working in the subject area, including researchers and students interested to learn more about different aspects and applications of functional analysis. Many articles are written by experts from around the world, strengthening international integration in the fields covered. The contributions to the volume, all peer reviewed, contain numerous new results. This volume contains four different chapters. The first chapter contains the contributed papers focusing on various aspects of the theory of functions and functional spaces. The second chapter is devoted to the research on difference and differential equations and boundary value problems. The third chapter contains the results of studies on differential and integral operators and on the spectral theory. The fourth chapter is focused on the simulation of problems arising in real-world applications of applied sciences.
Book Synopsis Applied Analysis by : John K. Hunter
Download or read book Applied Analysis written by John K. Hunter and published by World Scientific. This book was released on 2001 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor. The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.
Book Synopsis Introductory Functional Analysis by : B.D. Reddy
Download or read book Introductory Functional Analysis written by B.D. Reddy and published by Springer Science & Business Media. This book was released on 2013-11-27 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an introduction to functional analysis, this text treats in detail its application to boundary-value problems and finite elements, and is distinguished by the fact that abstract concepts are motivated and illustrated wherever possible. It is intended for use by senior undergraduates and graduates in mathematics, the physical sciences and engineering, who may not have been exposed to the conventional prerequisites for a course in functional analysis, such as real analysis. Mature researchers wishing to learn the basic ideas of functional analysis will equally find this useful. Offers a good grounding in those aspects of functional analysis which are most relevant to a proper understanding and appreciation of the mathematical aspects of boundary-value problems and the finite element method.
Book Synopsis Applied Functional Data Analysis by : J.O. Ramsay
Download or read book Applied Functional Data Analysis written by J.O. Ramsay and published by Springer. This book was released on 2007-11-23 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the ideas of functional data analysis by a number of case studies. The case studies are accessible to research workers in a wide range of disciplines. Every reader should gain not only a specific understanding of the methods of functional data analysis, but more importantly a general insight into the underlying patterns of thought. There is an associated web site with MATLABr and S?PLUSr implementations of the methods discussed.
Book Synopsis Applied functional Analysis and Partial Differential Equations by : Milan Miklavčič
Download or read book Applied functional Analysis and Partial Differential Equations written by Milan Miklavčič and published by Allied Publishers. This book was released on 1998 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Functional Analysis in Modern Applied Mathematics by : Ruth F. Curtain
Download or read book Functional Analysis in Modern Applied Mathematics written by Ruth F. Curtain and published by . This book was released on 1977 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Applications of Functional Analysis and Operator Theory by : V. Hutson
Download or read book Applications of Functional Analysis and Operator Theory written by V. Hutson and published by Elsevier. This book was released on 2005-02-08 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Author :Nikolaos S. Papageorgiou Publisher :Walter de Gruyter GmbH & Co KG ISBN 13 :3111288323 Total Pages :1003 pages Book Rating :4.1/5 (112 download)
Book Synopsis Applied Nonlinear Functional Analysis by : Nikolaos S. Papageorgiou
Download or read book Applied Nonlinear Functional Analysis written by Nikolaos S. Papageorgiou and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-01 with total page 1003 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition covers the introduction to the main mathematical tools of nonlinear functional analysis, which are also used in the study of concrete problems in economics, engineering, and physics. The new edition includes some new topics on Banach spaces of functions and measures and nonlinear analysis.
Book Synopsis Applied Functional Analysis by : Eberhard Zeidler
Download or read book Applied Functional Analysis written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 1995-08-30 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
