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: 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.
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.
New Trends In Software Methodologies Tools And Techniques
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Author : H. Fujita
language : en
Publisher: IOS Press
Release Date : 2009-08-31
New Trends In Software Methodologies Tools And Techniques written by H. Fujita and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-31 with Computers categories.
Software is an essential enabler for science and the new economy, but software often falls short of our expectations, remaining expensive and not yet sufficiently reliable for a constantly changing and evolving market. This publication, which forms part of the SoMeT series, consists of 41 papers, carefully reviewed and revised on the basis of technical soundness, relevance, originality, significance, and clarity. These explore new trends and theories which illuminate the direction of developments which may lead to a transformation of the role of software in tomorrow’s global information society. The book offers an opportunity for the software science community to think about where they are today and where they are going. The emphasis has been placed on human-centric software methodologies, end-user development techniques, and emotional reasoning, for an optimally harmonised performance between the design tool and the user. The handling of cognitive issues in software development and the tools and techniques related to this form part of the contribution to this book. Other comparable theories and practices in software science, including emerging technologies essential for a comprehensive overview of information systems and research projects, are also addressed. This work represents another milestone in mastering the new challenges of software and its promising technology, and provides the reader with new insights, inspiration and concrete material to further the study of this new technology.
Functional Analysis
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Author : N.B. Singh
language : en
Publisher: N.B. Singh
Release Date :
Functional Analysis written by N.B. Singh and has been published by N.B. Singh this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This book, Functional Analysis, is designed for absolute beginners who want to understand the fundamental ideas of functional analysis without advanced prerequisites. Starting from the basics, it introduces concepts like vector spaces, norms, and linear operators, using simple explanations and examples to build a strong foundation. Each chapter breaks down complex topics step-by-step, making it accessible for anyone new to the subject. By the end, readers will have a clear understanding of the core principles of functional analysis and how these ideas apply in mathematics, physics, and engineering.
Convex Functional Analysis
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Author : Andrew J. Kurdila
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-05-23
Convex Functional Analysis written by Andrew J. Kurdila 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 2005-05-23 with Science categories.
This volume is dedicated to the fundamentals of convex functional analysis. It presents those aspects of functional analysis that are extensively used in various applications to mechanics and control theory. The purpose of the text is essentially two-fold. On the one hand, a bare minimum of the theory required to understand the principles of functional, convex and set-valued analysis is presented. Numerous examples and diagrams provide as intuitive an explanation of the principles as possible. On the other hand, the volume is largely self-contained. Those with a background in graduate mathematics will find a concise summary of all main definitions and theorems.
International Conference On Education And Management Science Icems2014
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Author :
language : en
Publisher: DEStech Publications, Inc
Release Date : 2014-09-24
International Conference On Education And Management Science Icems2014 written by and has been published by DEStech Publications, Inc this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-24 with Education categories.
2014 International Conference on Education and Management Science (ICEMS2014) will be held in Beijing, China on August 19–20, 2014. The main purpose of this conference is to provide a common forum for researchers, scientists, and students from all over the world to present their recent findings, ideas, developments and application in the border areas of Education and Management Science. It will also report progress and development of methodologies, technologies, planning and implementation, tools and standards in information systems. Education is an internal topic. It is a process of delivering knowledge in a basic meaning. Humans are hard to define the actual definition of education. But it is the key point for our society to step forward. Management science is the discipline that adapts the scientific approach for problem solving to help managers making informed decisions. The goal of management science is to recommend the course of action that is expected to yield the best outcome with what is available.
Functional Analysis With Applications
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Author : Svetlin G. Georgiev
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-06-17
Functional Analysis With Applications written by Svetlin G. Georgiev and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-06-17 with Mathematics categories.
This book on functional analysis covers all the basics of the subject (normed, Banach and Hilbert spaces, Lebesgue integration and spaces, linear operators and functionals, compact and self-adjoint operators, small parameters, fixed point theory) with a strong focus on examples, exercises and practical problems, thus making it ideal as course material but also as a reference for self-study.
Analysis For Computer Scientists
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Author : Michael Oberguggenberger
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-03-19
Analysis For Computer Scientists written by Michael Oberguggenberger 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 2011-03-19 with Computers categories.
This textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. Fully integrating mathematical software into the text as an important component of analysis, the book makes thorough use of examples and explanations using MATLAB, Maple, and Java applets. Mathematical theory is described alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises, and an extensive use of figure illustrations. Features: thoroughly describes the essential concepts of analysis; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text; supplementary software can be downloaded from the book’s webpage.
Springer Handbook Of Science And Technology Indicators
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Author : Wolfgang Glänzel
language : en
Publisher: Springer Nature
Release Date : 2019-10-30
Springer Handbook Of Science And Technology Indicators written by Wolfgang Glänzel and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-30 with Science categories.
This handbook presents the state of the art of quantitative methods and models to understand and assess the science and technology system. Focusing on various aspects of the development and application of indicators derived from data on scholarly publications, patents and electronic communications, the individual chapters, written by leading experts, discuss theoretical and methodological issues, illustrate applications, highlight their policy context and relevance, and point to future research directions. A substantial portion of the book is dedicated to detailed descriptions and analyses of data sources, presenting both traditional and advanced approaches. It addresses the main bibliographic metrics and indexes, such as the journal impact factor and the h-index, as well as altmetric and webometric indicators and science mapping techniques on different levels of aggregation and in the context of their value for the assessment of research performance as well as their impact on research policy and society. It also presents and critically discusses various national research evaluation systems. Complementing the sections reflecting on the science system, the technology section includes multiple chapters that explain different aspects of patent statistics, patent classification and database search methods to retrieve patent-related information. In addition, it examines the relevance of trademarks and standards as additional technological indicators. The Springer Handbook of Science and Technology Indicators is an invaluable resource for practitioners, scientists and policy makers wanting a systematic and thorough analysis of the potential and limitations of the various approaches to assess research and research performance.
Introductory Functional Analysis
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Author : B.D. Reddy
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-27
Introductory Functional Analysis written by B.D. Reddy 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 2013-11-27 with Mathematics categories.
Mathematics is playing an ever more important role in the physical and biological sciences, provo king a blurring of boundaries between scientific dis ciplines and a resurgence of interest in the modern as weil as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathe matics (TAM). The development of new courses is a natural consequence of a . high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable für use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series,which will focus on advanced textbooks and research level monographs. Preface A proper understanding of the theory of boundary value problems, as op posed to a knowledge of techniques for solving specific problems or classes of problems, requires some background in functional analysis.