History Of Functional Analysis
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History Of Functional Analysis
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Author : J. Dieudonne
language : en
Publisher: Elsevier
Release Date : 1983-01-01
History Of Functional Analysis written by J. Dieudonne and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with Mathematics categories.
History of Functional Analysis presents functional analysis as a rather complex blend of algebra and topology, with its evolution influenced by the development of these two branches of mathematics. The book adopts a narrower definition—one that is assumed to satisfy various algebraic and topological conditions. A moment of reflections shows that this already covers a large part of modern analysis, in particular, the theory of partial differential equations. This volume comprises nine chapters, the first of which focuses on linear differential equations and the Sturm-Liouville problem. The succeeding chapters go on to discuss the ""crypto-integral"" equations, including the Dirichlet principle and the Beer-Neumann method; the equation of vibrating membranes, including the contributions of Poincare and H.A. Schwarz's 1885 paper; and the idea of infinite dimension. Other chapters cover the crucial years and the definition of Hilbert space, including Fredholm's discovery and the contributions of Hilbert; duality and the definition of normed spaces, including the Hahn-Banach theorem and the method of the gliding hump and Baire category; spectral theory after 1900, including the theories and works of F. Riesz, Hilbert, von Neumann, Weyl, and Carleman; locally convex spaces and the theory of distributions; and applications of functional analysis to differential and partial differential equations. This book will be of interest to practitioners in the fields of mathematics and statistics.
History Of Functional Analysis
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Author : Jean Dieudonné
language : en
Publisher:
Release Date : 1983
History Of Functional Analysis written by Jean Dieudonné and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
History Of Functional Analysis
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Author : Jean Dieudonné
language : en
Publisher: North-Holland
Release Date : 1981
History Of Functional Analysis written by Jean Dieudonné and has been published by North-Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.
Functional Analysis In Historical Perspective
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Author : A. F. Monna
language : en
Publisher: John Wiley & Sons
Release Date : 1973
Functional Analysis In Historical Perspective written by A. F. Monna 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 1973 with Mathematics categories.
A History Of Analysis
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Author : Hans Niels Jahnke
language : en
Publisher: American Mathematical Soc.
Release Date :
A History Of Analysis written by Hans Niels Jahnke and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.
History Of Banach Spaces And Linear Operators
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Author : Albrecht Pietsch
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-31
History Of Banach Spaces And Linear Operators written by Albrecht Pietsch 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 2007-12-31 with Mathematics categories.
Written by a distinguished specialist in functional analysis, this book presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. Banach space theory is presented as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. Equal emphasis is given to both spaces and operators. The book may serve as a reference for researchers and as an introduction for graduate students who want to learn Banach space theory with some historical flavor.
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences
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Author : Ivor Grattan-Guinness
language : en
Publisher: Routledge
Release Date : 2002-09-11
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences written by Ivor Grattan-Guinness and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-09-11 with Philosophy categories.
* Examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century * 176 articles contributed by authors of 18 nationalities * Chronological table of main events in the development of mathematics * Fully integrated index of people, events and topics * Annotated bibliographies of both classic and contemporary sources * Unique coverage of Ancient and non-Western traditions of mathematics
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences
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Author : Ivor Grattan-Guiness
language : en
Publisher: Routledge
Release Date : 2004-11-11
Companion Encyclopedia Of The History And Philosophy Of The Mathematical Sciences written by Ivor Grattan-Guiness and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-11 with History categories.
First published in 2004. This book examines the history and philosophy of the mathematical sciences in a cultural context, tracing their evolution from ancient times up to the twentieth century. Includes 176 articles contributed by authors of 18 nationalities. With a chronological table of main events in the development of mathematics. Has a fully integrated index of people, events and topics; as well as annotated bibliographies of both classic and contemporary sources and provide unique coverage of Ancient and non-Western traditions of mathematics. Presented in Two Volumes.
Functional Assessment For Challenging Behaviors
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Author : Johnny L. Matson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-05-26
Functional Assessment For Challenging Behaviors written by Johnny L. Matson 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 2012-05-26 with Psychology categories.
As the cornerstone of applied behavior analysis, functional assessment is supported by a burgeoning literature that focuses on identification of and interventions for aggressive, self-injurious, and other challenging behaviors. Although the number of research studies continues to grow, full-length volumes on using functional assessment to address these behaviors remain few and far between. Comprehensive in coverage, Functional Assessment for Challenging Behaviors expands the knowledge base by providing information on all aspects of its topic. This unique volume addresses basic questions in salient detail, from types and rates of challenging behaviors to populations that warrant functional assessment. In addition, it examines typical assessment techniques, including interview, scaling, experimental, and in vivo methods. The use of functional assessment in treatment planning – and in combination with other interventions – is covered in depth. An especially timely chapter identifies key ethical and legal concerns in working with challenging behavior populations. Coverage includes: The history of behavior analysis and functional assessment. The nature, prevalence, and characteristics of challenging behaviors. Interview and observation methods in functional assessment and analysis. Experimental functional analysis for challenging behaviors. Treatment methods commonly used with functional assessment. Using functional assessment in treatment planning. Functional Assessment for Challenging Behaviors is an essential resource for researchers, scientist-practitioners, and graduate students in clinical child and school psychology, pediatric psychiatry and medicine, social work, rehabilitation, and developmental psychology.
History Of The Mathematical Sciences
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Author : Ivor Grattan-Guiness
language : en
Publisher: Springer
Release Date : 2003-12-15
History Of The Mathematical Sciences written by Ivor Grattan-Guiness and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-15 with Mathematics categories.
Papers presented at the International Conference on History of Mathematical Sciences, held at New Delhi during 20-23 December 2001.