Download Full eBooks in PDF
A General Theory Of Integration In Function Spaces Including Wiener And Feynman Integration Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of A General Theory Of Integration In Function Spaces Including Wiener And Feynman Integration book. This book definitely worth reading, it is an incredibly well-written.
Author : Patrick Muldowney
Publisher : Longman
Page : 136 pages
File Size : 55,8 Mb
Release : 1987
Category : Mathematics
ISBN : UOM:39015049290748
Author : Sergio Albeverio,Rafael Høegh-Krohn,Sonia Mazzucchi
Publisher : Springer
Page : 182 pages
File Size : 48,7 Mb
Release : 2008-05-06
Category : Mathematics
ISBN : 9783540769569
The 2nd edition of LNM 523 is based on the two first authors' mathematical approach of this theory presented in its 1st edition in 1976. An entire new chapter on the current forefront of research has been added. Except for this new chapter and the correction of a few misprints, the basic material and presentation of the first edition has been maintained. At the end of each chapter the reader will also find notes with further bibliographical information.
Author : M.M. Rao
Publisher : CRC Press
Page : 388 pages
File Size : 40,5 Mb
Release : 2018-10-03
Category : Mathematics
ISBN : 9781351991483
Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications. With more than 170 references for further investigation of the subject, this Second Edition provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals contains extended discussions on the four basic results of Banach spaces presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties details the basic properties and extensions of the Lebesgue-Carathéodory measure theory, as well as the structure and convergence of real measurable functions covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.
Author : Sonia Mazzucchi
Publisher : World Scientific
Page : 360 pages
File Size : 50,8 Mb
Release : 2021-11-16
Category : Science
ISBN : 9789811214806
Feynman path integrals are ubiquitous in quantum physics, even if a large part of the scientific community still considers them as a heuristic tool that lacks a sound mathematical definition. Our book aims to refute this prejudice, providing an extensive and self-contained description of the mathematical theory of Feynman path integration, from the earlier attempts to the latest developments, as well as its applications to quantum mechanics.This second edition presents a detailed discussion of the general theory of complex integration on infinite dimensional spaces, providing on one hand a unified view of the various existing approaches to the mathematical construction of Feynman path integrals and on the other hand a connection with the classical theory of stochastic processes. Moreover, new chapters containing recent applications to several dynamical systems have been added.This book bridges between the realms of stochastic analysis and the theory of Feynman path integration. It is accessible to both mathematicians and physicists.
Author : Everaldo M. Bonotto,Márcia Federson,Jaqueline G. Mesquita
Publisher : John Wiley & Sons
Page : 514 pages
File Size : 45,6 Mb
Release : 2021-09-15
Category : Mathematics
ISBN : 9781119654933
GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS IN ABSTRACT SPACES AND APPLICATIONS Explore a unified view of differential equations through the use of the generalized ODE from leading academics in mathematics Generalized Ordinary Differential Equations in Abstract Spaces and Applications delivers a comprehensive treatment of new results of the theory of Generalized ODEs in abstract spaces. The book covers applications to other types of differential equations, including Measure Functional Differential Equations (measure FDEs). It presents a uniform collection of qualitative results of Generalized ODEs and offers readers an introduction to several theories, including ordinary differential equations, impulsive differential equations, functional differential equations, dynamical equations on time scales, and more. Throughout the book, the focus is on qualitative theory and on corresponding results for other types of differential equations, as well as the connection between Generalized Ordinary Differential Equations and impulsive differential equations, functional differential equations, measure differential equations and dynamic equations on time scales. The book’s descriptions will be of use in many mathematical contexts, as well as in the social and natural sciences. Readers will also benefit from the inclusion of: A thorough introduction to regulated functions, including their basic properties, equiregulated sets, uniform convergence, and relatively compact sets An exploration of the Kurzweil integral, including its definitions and basic properties A discussion of measure functional differential equations, including impulsive measure FDEs The interrelationship between generalized ODEs and measure FDEs A treatment of the basic properties of generalized ODEs, including the existence and uniqueness of solutions, and prolongation and maximal solutions Perfect for researchers and graduate students in Differential Equations and Dynamical Systems, Generalized Ordinary Differential Equations in Abstract Spaces and Applications will also earn a place in the libraries of advanced undergraduate students taking courses in the subject and hoping to move onto graduate studies.
Author : M. M. Rao
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461220541
As in the case of the two previous volumes published in 1986 and 1997, the purpose of this monograph is to focus the interplay between real (functional) analysis and stochastic analysis show their mutual benefits and advance the subjects. The presentation of each article, given as a chapter, is in a research-expository style covering the respective topics in depth. In fact, most of the details are included so that each work is essentially self contained and thus will be of use both for advanced graduate students and other researchers interested in the areas considered. Moreover, numerous new problems for future research are suggested in each chapter. The presented articles contain a substantial number of new results as well as unified and simplified accounts of previously known ones. A large part of the material cov ered is on stochastic differential equations on various structures, together with some applications. Although Brownian motion plays a key role, (semi-) martingale theory is important for a considerable extent. Moreover, noncommutative analysis and probabil ity have a prominent role in some chapters, with new ideas and results. A more detailed outline of each of the articles appears in the introduction and outline to assist readers in selecting and starting their work. All chapters have been reviewed.
Author : Vladimir I. Bogachev
Publisher : Springer Science & Business Media
Page : 1075 pages
File Size : 41,7 Mb
Release : 2007-01-15
Category : Mathematics
ISBN : 9783540345145
This book giving an exposition of the foundations of modern measure theory offers three levels of presentation: a standard university graduate course, an advanced study containing some complements to the basic course, and, finally, more specialized topics partly covered by more than 850 exercises with detailed hints and references. Bibliographical comments and an extensive bibliography with 2000 works covering more than a century are provided.
Author : Antonio Boccuto,Beloslav Riečan,Marta Vrábelová
Publisher : Bentham Science Publishers
Page : 235 pages
File Size : 54,7 Mb
Release : 2010-04-02
Category : Mathematics
ISBN : 9781608050031
"This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Sipos integral, which has several applications in economy, is illustrated. The aim of this Ebook is two-fold. "
Author : Ralph Henstock
Publisher : Unknown
Page : 288 pages
File Size : 41,6 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015021856110
Every good mathematical book stands like a tree with its roots in the past and its branches stretching out towards the future. Whether the fruits of this tree are desirable and whether the branches will be quarried for mathematical wood to build further edifices, I will leave to the judgment of history. The roots of this book take nourishment from the concept of definite integration of continuous functions, where Riemann's method is the high water mark of the simpler theory.
Author : Zbigniew Haba,Jan Sobczyk
Publisher : Birkhauser
Page : 478 pages
File Size : 47,8 Mb
Release : 1989
Category : Mathematical physics
ISBN : UCSD:31822003938644
Author : John R. Klauder
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 42,9 Mb
Release : 2010-11-08
Category : Mathematics
ISBN : 9780817647919
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.
Author : R. Buccheri,Metod Saniga,William Mark Stuckey
Publisher : Springer Science & Business Media
Page : 441 pages
File Size : 53,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9789401001557
There are very few concepts that fascinate equally a theoretical physicist studying black holes and a patient undergoing seriolls mental psychosis. Time, undoubtedly, can well be ranked among them. For the measure of time inside a black hole is no less bizarre than the perception of time by a schizophrenic, who may perceive it as completely "suspended," "standing still," or even "reversing its direction. " The nature of time is certainly shrouded in profound mystery. This, perhaps, since the concept entails multifarious, and occasionally incongruous, facets. No wonder the subject attracts the serious attention of scholars on the one hand, and of the lay public on the other. Our Advanced Research Workshop is an excellent il lustration of this point, as the reader will soon discover. It turned out to be a unique professional forum for an unusually lively, effective and fruitful exchange of ideas and beliefs among 48 participants from 20 countries worldwide, selected out of more than a hundred applicants. The present book is based on the select talks presented at the meeting, and aims to provide the interested layperson and specialist alike with a multidisciplinary sampling of the most up-to-date scholarly research on the nature of time. It represents a coherent, state-of-the-art volume showing that research relevant to this topic is necessarily interdisciplinary and does not ignore such delicate issues as "altered" states of consciousness, religion and metaphysics.
Author : Gerald W. Johnson,Michel Laurent Lapidus
Publisher : American Mathematical Soc.
Page : 78 pages
File Size : 46,8 Mb
Release : 1986
Category : Mathematics
ISBN : 9780821824139
Author : Anonim
Publisher : Unknown
Page : 338 pages
File Size : 50,8 Mb
Release : 1998
Category : Functions of real variables
ISBN : UOM:39015050453870
Author : Peter S. Bullen,Peng Yee Lee,Jean L. Mawhin,Patrick Muldowney,Washek F. Pfeffer
Publisher : Springer
Page : 211 pages
File Size : 48,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540469551
