Functional Analysis Tools For Practical Use In Sciences And Engineering
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Functional Analysis Tools For Practical Use In Sciences And Engineering
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Author : Carlos A. de Moura
language : en
Publisher:
Release Date : 2022
Functional Analysis Tools For Practical Use In Sciences And Engineering written by Carlos A. de Moura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don't have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results. The book gently starts with a road map to guide reading. A subsequent chapter recalls definitions and notation for abstract spaces and some function spaces, while Chapter 3 enters dual spaces. Tools from Chapters 2 and 3 find use in Chapter 4, which introduces distributions. The Linear Functional Analysis basic triplet makes up Chapter 5, followed by Chapter 6, which introduces the concept of compactness. Chapter 7 brings a generalization of the concept of derivative for functions defined in normed spaces, while Chapter 8 discusses basic results about Hilbert spaces that are paramount to numerical approximations. The last chapter brings remarks to recent bibliographical items. Elementary examples included throughout the chapters foster understanding and self-study. By making key, complex topics more accessible, this book serves as a valuable resource for researchers, students, and practitioners alike that need to rely on solid functional analysis but don't need to delve deep into the underlying theory.
Functional Analysis Tools For Practical Use In Sciences And Engineering
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Author : Carlos A. de Moura
language : en
Publisher: Springer Nature
Release Date : 2022-10-13
Functional Analysis Tools For Practical Use In Sciences And Engineering written by Carlos A. de Moura and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-13 with Mathematics categories.
This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don’t have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results. The book gently starts with a road map to guide reading. A subsequent chapter recalls definitions and notation for abstract spaces and some function spaces, while Chapter 3 enters dual spaces. Tools from Chapters 2 and 3 find use in Chapter 4, which introduces distributions. The Linear Functional Analysis basic triplet makes up Chapter 5, followed by Chapter 6, which introduces the concept of compactness. Chapter 7 brings a generalization of the concept of derivative for functions defined in normed spaces, while Chapter 8 discusses basic results about Hilbert spaces that are paramount to numerical approximations. The last chapter brings remarks to recent bibliographical items. Elementary examples included throughout the chapters foster understanding and self-study. By making key, complex topics more accessible, this book serves as a valuable resource for researchers, students, and practitioners alike that need to rely on solid functional analysis but don’t need to delve deep into the underlying theory.
Applications Of Functional Analysis In Engineering
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Author : J. Nowinski
language : en
Publisher:
Release Date : 1981-05-01
Applications Of Functional Analysis In Engineering written by J. Nowinski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-05-01 with categories.
Functional Analysis For Physics And Engineering
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Author : Hiroyuki Shima
language : en
Publisher: CRC Press
Release Date : 2016-01-05
Functional Analysis For Physics And Engineering written by Hiroyuki Shima and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-05 with Mathematics categories.
This book provides an introduction to functional analysis for non-experts in mathematics. As such, it is distinct from most other books on the subject that are intended for mathematicians. Concepts are explained concisely with visual materials, making it accessible for those unfamiliar with graduate-level mathematics. Topics include topology, vecto
Applications Of Functional Analysis In Engineering
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Author : J. Nowinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Applications Of Functional Analysis In Engineering written by J. Nowinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Science categories.
Functional analysis owes its OrIgms to the discovery of certain striking analogies between apparently distinct disciplines of mathematics such as analysis, algebra, and geometry. At the turn of the nineteenth century, a number of observations, made sporadically over the preceding years, began to inspire systematic investigations into the common features of these three disciplines, which have developed rather independently of each other for so long. It was found that many concepts of this triad-analysis, algebra, geometry-could be incorporated into a single, but considerably more abstract, new discipline which came to be called functional analysis. In this way, many aspects of analysis and algebra acquired unexpected and pro found geometric meaning, while geometric methods inspired new lines of approach in analysis and algebra. A first significant step toward the unification and generalization of algebra, analysis, and geometry was taken by Hilbert in 1906, who studied the collection, later called 1 , composed of infinite sequences x = Xb X 2, ... , 2 X , ... , of numbers satisfying the condition that the sum Ik"= 1 X 2 converges. k k The collection 12 became a prototype of the class of collections known today as Hilbert spaces.
A Functional Analysis Framework For Modeling Estimation And Control In Science And Engineering
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Author : H.T. Banks
language : en
Publisher: CRC Press
Release Date : 2012-06-18
A Functional Analysis Framework For Modeling Estimation And Control In Science And Engineering written by H.T. Banks and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-18 with Mathematics categories.
A Modern Framework Based on Time-Tested MaterialA Functional Analysis Framework for Modeling, Estimation and Control in Science and Engineering presents functional analysis as a tool for understanding and treating distributed parameter systems. Drawing on his extensive research and teaching from the past 20 years, the author explains how functional
Applications Of Functional Analysis And Operator Theory
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Author : V. Hutson
language : en
Publisher: Elsevier
Release Date : 2005-02-08
Applications Of Functional Analysis And Operator Theory written by V. Hutson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-08 with Mathematics categories.
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
Applied Functional Analysis
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Author : J. Tinsley Oden
language : en
Publisher: CRC Press
Release Date : 2017-12-01
Applied Functional Analysis written by J. Tinsley Oden and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-01 with Mathematics categories.
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.
Introductory Functional Analysis With Applications
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Author : Kreyszig
language : en
Publisher: John Wiley & Sons
Release Date : 2007-03
Introductory Functional Analysis With Applications written by Kreyszig and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03 with Functional analysis categories.
Market_Desc: · Undergraduate and Graduate Students in Mathematics and Physics· Engineering· Instructors
Introductory Functional Analysis With Applications
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Author : Erwin Kreyszig
language : en
Publisher:
Release Date : 1978-01
Introductory Functional Analysis With Applications written by Erwin Kreyszig and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01 with Functional analysis categories.
Provides avenues for applying functional analysis to the practical study of natural sciences as well as mathematics. Contains worked problems on Hilbert space theory and on Banach spaces and emphasizes concepts, principles, methods and major applications of functional analysis.