The Functional Approach To Integration

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Integration - A Functional Approach

Author : Klaus Bichteler
Publisher : Springer Science & Business Media
ISBN 13 : 303480055X
Total Pages : 203 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Integration - A Functional Approach by : Klaus Bichteler

Download or read book Integration - A Functional Approach written by Klaus Bichteler and published by Springer Science & Business Media. This book was released on 2010-11-23 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory. From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further. The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work.

A Modern Approach to Functional Integration

Author : John R. Klauder
Publisher : Springer Science & Business Media
ISBN 13 : 0817647910
Total Pages : 292 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis A Modern Approach to Functional Integration by : John R. Klauder

Download or read book A Modern Approach to Functional Integration written by John R. Klauder and published by Springer Science & Business Media. This book was released on 2010-11-08 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text takes advantage of recent developments in the theory of path integration and attempts to make a major paradigm shift in how the art of functional integration is practiced. The techniques developed in the work will prove valuable to graduate students and researchers in physics, chemistry, mathematical physics, and applied mathematics who find it necessary to deal with solutions to wave equations, both quantum and beyond. A Modern Approach to Functional Integration offers insight into a number of contemporary research topics, which may lead to improved methods and results that cannot be found elsewhere in the textbook literature. Exercises are included in most chapters, making the book suitable for a one-semester graduate course on functional integration.

Functional Integration

Author : Pierre Cartier
Publisher : Cambridge University Press
ISBN 13 : 1139462881
Total Pages : 7 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Functional Integration by : Pierre Cartier

Download or read book Functional Integration written by Pierre Cartier and published by Cambridge University Press. This book was released on 2006-11-30 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, Cartier and DeWitt-Morette, using their complementary interests and expertise, successfully condense and apply the essentials of Functional Integration to a great variety of systems, showing this mathematically elusive technique to be a robust, user friendly and multipurpose tool.

Functional Integration

Author : Cécile Dewitt-Morette
Publisher : Springer Science & Business Media
ISBN 13 : 1489903194
Total Pages : 436 pages
Book Rating : 4.4/5 (899 download)

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Book Synopsis Functional Integration by : Cécile Dewitt-Morette

Download or read book Functional Integration written by Cécile Dewitt-Morette and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite number of degrees of freedom; the second week on field theories. During the first week the basic course, given by P. Cartier, was a presentation of a recent rigorous approach to functional integration which does not resort to discretization, nor to analytic continuation. It provides a definition of functional integrals simpler and more powerful than the original ones. Could this approach accommodate the works presented by the other lecturers? Although much remains to be done before answering "Yes," there seems to be no major obstacle along the road. The other courses taught during the first week presented: a) a solid introduction to functional numerical techniques (A. Sokal) and their applications to functional integrals encountered in chemistry (N. Makri). b) integrals based on Poisson processes and their applications to wave propagation (S. K. Foong), in particular a wave-restorer or wave-designer algorithm yielding the initial wave profile when one can only observe its distortion through a dissipative medium. c) the formulation of a quantum equivalence principle (H. Kleinert) which. given the flat space theory, yields a well-defined quantum theory in spaces with curvature and torsion.

Functional Integration and Quantum Physics

Author : Barry Simon
Publisher : American Mathematical Soc.
ISBN 13 : 0821835823
Total Pages : 322 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Functional Integration and Quantum Physics by : Barry Simon

Download or read book Functional Integration and Quantum Physics written by Barry Simon and published by American Mathematical Soc.. This book was released on 2005 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on probabilistic foundations of the Feynman-Kac formula. Starting with main examples of Gaussian processes (the Brownian motion, the oscillatory process, and the Brownian bridge), this book presents four different proofs of the Feynman-Kac formula.

European Integration Theory

Author : Antje Wiener
Publisher : Oxford University Press
ISBN 13 : 0198737319
Total Pages : 355 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis European Integration Theory by : Antje Wiener

Download or read book European Integration Theory written by Antje Wiener and published by Oxford University Press. This book was released on 2019-12-19 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: With coverage of both traditional and critical theories and approaches to European integration and their application, this is the most comprehensive textbook on European integration theory and an essential guide for all students and scholars interested in the subject. Throughout the text, a team of leading international scholars demonstrate the current relevance of integration theory as they apply these approaches to real-world developments and crises in the contemporary European Union.

Gendering European Integration Theory

Author : Gabriele Abels
Publisher : Verlag Barbara Budrich
ISBN 13 : 3847402560
Total Pages : 304 pages
Book Rating : 4.8/5 (474 download)

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Book Synopsis Gendering European Integration Theory by : Gabriele Abels

Download or read book Gendering European Integration Theory written by Gabriele Abels and published by Verlag Barbara Budrich. This book was released on 2016-05-23 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors engage a dialogue between European integration theories and gender studies. The contributions illustrate where and how gender scholarship has made creative use of integration theories and thus contributes to a vivid theoretical debate. The chapters are designed to make gender scholarship more visible to integration theory and, in this way stimulates the broader theoretical debates. Investigating the whole range of integration theory with a gender lens, the authors illustrate if and how gender scholarship has made or can make creative use of integration theories.

A Concise Introduction to the Theory of Integration

Author : Daniel W Stroock
Publisher : World Scientific Publishing Company
ISBN 13 : 9813104333
Total Pages : 160 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis A Concise Introduction to the Theory of Integration by : Daniel W Stroock

Download or read book A Concise Introduction to the Theory of Integration written by Daniel W Stroock and published by World Scientific Publishing Company. This book was released on 1990-03-01 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Readership: Mathematicians, physicists and engineers.

The Functional Approach to Data Management

Author : Peter M.D. Gray
Publisher : Springer Science & Business Media
ISBN 13 : 3662053721
Total Pages : 516 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis The Functional Approach to Data Management by : Peter M.D. Gray

Download or read book The Functional Approach to Data Management written by Peter M.D. Gray and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is over 20 years since the functional data model and functional programming languages were first introduced to the computing community. Although developed by separate research communities, recent work, presented in this book, suggests there is powerful synergy in their integration. As database technology emerges as central to yet more complex and demanding applications in areas such as bioinformatics, national security, criminal investigations and advanced engineering, more sophisticated approaches like those presented here, are needed. A tutorial introduction by the editors prepares the reader for the chapters that follow, written by leading researchers, including some of the early pioneers. They provide a comprehensive treatment showing how the functional approach provides for modeling, analyzis and optimization in databases, and also data integration and interoperation in heterogeneous environments. Several chapters deal with mathematical results on the transformation of expressions, fundamental to the functional approach. The book also aims to show how the approach relates to the Internet and current work on semistructured data, XML and RDF. The book presents a comprehensive view of the functional approach to data management, bringing together important material hitherto widely scattered, some new research, and a comprehensive set of references. It will serve as a valuable resource for researchers, faculty and graduate students, as well as those in industry responsible for new systems development.

Uniting of Europe

Author : Ernst B. Haas
Publisher :
ISBN 13 : 9780268201685
Total Pages : 642 pages
Book Rating : 4.2/5 (16 download)

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Book Synopsis Uniting of Europe by : Ernst B. Haas

Download or read book Uniting of Europe written by Ernst B. Haas and published by . This book was released on 2020-11-15 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: The University of Notre Dame Press is pleased to bring Ernst Haas's classic work on European integration, The Uniting of Europe, back into print. First published in 1958 and last printed in 1968, this seminal volume is the starting point for anyone interested in the pre-history of the European Union. Haas uses the European Coal and Steel Community (ECSC) as a case study of the community formation processes that occur across traditional national and state boundaries. Haas points to the ECSC as an example of an organization with the "power to redirect the loyalties and expectations of political actors." In this pathbreaking book Haas contends that, based on his observations of the actual integration process, the idea of a "united Europe" took root in the years immediately following World War II. His careful and rigorous analysis tracks the development of the ECSC, including, in his 1968 preface, a discussion of the eventual loss of the individual identity of the ECSC through its absorption into the new European Community. Featuring a new introduction by Haas analyzing the impact of his book over time, as well as an updated bibliography, The Uniting of Europe is a must-have for political scientists and historians of modern and contemporary Europe. This book is the inaugural volume of Notre Dame's new Contemporary European Politics and Society Series.

A Functional Theory of Cognition

Author : Norman H. Anderson
Publisher : Psychology Press
ISBN 13 : 1317779002
Total Pages : 513 pages
Book Rating : 4.3/5 (177 download)

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Book Synopsis A Functional Theory of Cognition by : Norman H. Anderson

Download or read book A Functional Theory of Cognition written by Norman H. Anderson and published by Psychology Press. This book was released on 2014-03-05 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified, general theory of functional cognition is presented in this book. Its generality appears in the titles of the 13 chapters listed below. Its unity appears in the effectiveness of the same methods and concepts across all of these areas. Generality and unity both stem from the foundation axiom of purposiveness. The axiom of purposiveness has been made effective through capability for functional measurement of values, which embody the goal-directed character of purposiveness. This measurement capability is based on the general cognitive algebra established in information integration theory. Functional theory can thus be made precise and effective near the level of everyday phenomenology. The book is written at a relatively simple level, directed at readers in every field of psychology. Among its characteristics are: * self-sufficient theory near the level of everyday phenomenology; * foundation on structure of the internal world; and * solid grounding in experimental analysis.

New Perspectives on International Functionalism

Author : Lucian Ashworth
Publisher : Springer
ISBN 13 : 1349270555
Total Pages : 196 pages
Book Rating : 4.3/5 (492 download)

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Book Synopsis New Perspectives on International Functionalism by : Lucian Ashworth

Download or read book New Perspectives on International Functionalism written by Lucian Ashworth and published by Springer. This book was released on 2016-07-27 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reassesses international functionalism as an approach to global politics. Functionalism has been marginalized as simply a pre-scientific precursor to regional integration theory. In fact, functionalism provides a global view of states and international organizations working towards a peaceful and constructive world order through cooperative relationships across borders to satisfy human needs. Chapters examine the early development of functionalism and apply functionalist insights to issues, problems and conflicts in contemporary global governance.

A Radical Approach to Lebesgue's Theory of Integration

Author : David M. Bressoud
Publisher : Cambridge University Press
ISBN 13 : 0521884748
Total Pages : 15 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis A Radical Approach to Lebesgue's Theory of Integration by : David M. Bressoud

Download or read book A Radical Approach to Lebesgue's Theory of Integration written by David M. Bressoud and published by Cambridge University Press. This book was released on 2008-01-21 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meant for advanced undergraduate and graduate students in mathematics, this introduction to measure theory and Lebesgue integration is motivated by the historical questions that led to its development. The author tells the story of the mathematicians who wrestled with the difficulties inherent in the Riemann integral, leading to the work of Jordan, Borel, and Lebesgue.

Explanation and Integration in Mind and Brain Science

Author : David Michael Kaplan
Publisher : Oxford University Press
ISBN 13 : 0199685509
Total Pages : 269 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis Explanation and Integration in Mind and Brain Science by : David Michael Kaplan

Download or read book Explanation and Integration in Mind and Brain Science written by David Michael Kaplan and published by Oxford University Press. This book was released on 2017 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is the relationship between psychology and neuroscience one of autonomy or mutual constraint and integration? This volume includes new papers from leading philosophers seeking to address this issue by deepening our understanding of the similarities and differences between the explanatory patterns employed across these domains.

Foundations of Information Integration Theory

Author : Norman H. Anderson
Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Foundations of Information Integration Theory by : Norman H. Anderson

Download or read book Foundations of Information Integration Theory written by Norman H. Anderson and published by . This book was released on 1981 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lean Integration

Author : John G. Schmidt
Publisher : Pearson Education
ISBN 13 : 0321712390
Total Pages : 685 pages
Book Rating : 4.3/5 (217 download)

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Book Synopsis Lean Integration by : John G. Schmidt

Download or read book Lean Integration written by John G. Schmidt and published by Pearson Education. This book was released on 2010-05-18 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Use Lean Techniques to Integrate Enterprise Systems Faster, with Far Less Cost and Risk By some estimates, 40 percent of IT budgets are devoted to integration. However, most organizations still attack integration on a project-by-project basis, causing unnecessary expense, waste, risk, and delay. They struggle with integration “hairballs”: complex point-to-point information exchanges that are expensive to maintain, difficult to change, and unpredictable in operation. The solution is Lean Integration. This book demonstrates how to use proven “lean” techniques to take control over the entire integration process. John Schmidt and David Lyle show how to establish “integration factories” that leverage the powerful benefits of repeatability and continuous improvement across every integration project you undertake. Drawing on their immense experience, Schmidt and Lyle bring together best practices; solid management principles; and specific, measurable actions for streamlining integration development and maintenance. Whether you’re an IT manager, project leader, architect, analyst, or developer, this book will help you systematically improve the way you integrate—adding value that is both substantial and sustainable. Coverage includes Treating integration as a business strategy and implementing management disciplines that systematically address its people, process, policy, and technology dimensions Providing maximum business flexibility and supporting rapid change without compromising stability, quality, control, or efficiency Applying improvements incrementally without “Boiling the Ocean” Automating processes so you can deliver IT solutions faster–while avoiding the pitfalls of automation Building in both data and integration quality up front, rather than inspecting quality in later More than a dozen in-depth case studies that show how real organizations are applying Lean Integration practices and the lessons they’ve learned Visit integrationfactory.com for additional resources, including more case studies, best practices, templates, software demos, and reference links, plus a direct connection to lean integration practitioners worldwide.

Measure, Integration & Real Analysis

Author : Sheldon Axler
Publisher : Springer Nature
ISBN 13 : 3030331431
Total Pages : 430 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Measure, Integration & Real Analysis by : Sheldon Axler

Download or read book Measure, Integration & Real Analysis written by Sheldon Axler and published by Springer Nature. This book was released on 2019-11-29 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics. Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on Rn. Chapters on Banach spaces, Lp spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for compact operators, with an optional interlude in real and complex measures. Building on the Hilbert space material, a chapter on Fourier analysis provides an invaluable introduction to Fourier series and the Fourier transform. The final chapter offers a taste of probability. Extensively class tested at multiple universities and written by an award-winning mathematical expositor, Measure, Integration & Real Analysis is an ideal resource for students at the start of their journey into graduate mathematics. A prerequisite of elementary undergraduate real analysis is assumed; students and instructors looking to reinforce these ideas will appreciate the electronic Supplement for Measure, Integration & Real Analysis that is freely available online. For errata and updates, visit https://measure.axler.net/