Victoria Symposium on Nonstandard Analysis PDF Download

Author: Leif O. Arkeryd
Publisher: Springer Science & Business Media
ISBN: 9401155445
Category : Mathematics
Languages : en
Pages : 374

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Book Description
1 More than thirty years after its discovery by Abraham Robinson , the ideas and techniques of Nonstandard Analysis (NSA) are being applied across the whole mathematical spectrum,as well as constituting an im portant field of research in their own right. The current methods of NSA now greatly extend Robinson's original work with infinitesimals. However, while the range of applications is broad, certain fundamental themes re cur. The nonstandard framework allows many informal ideas (that could loosely be described as idealisation) to be made precise and tractable. For example, the real line can (in this framework) be treated simultaneously as both a continuum and a discrete set of points; and a similar dual ap proach can be used to link the notions infinite and finite, rough and smooth. This has provided some powerful tools for the research mathematician - for example Loeb measure spaces in stochastic analysis and its applications, and nonstandard hulls in Banach spaces. The achievements of NSA can be summarised under the headings (i) explanation - giving fresh insight or new approaches to established theories; (ii) discovery - leading to new results in many fields; (iii) invention - providing new, rich structures that are useful in modelling and representation, as well as being of interest in their own right. The aim of the present volume is to make the power and range of appli cability of NSA more widely known and available to research mathemati cians.

Author: Sergio Albeverio
Publisher: World Scientific
ISBN: 981454969X
Category :
Languages : en
Pages : 758

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Book Description
As was already evident from the previous two meetings, the theory of stochastic processes, the study of geometrical structures, and the investigation of certain physical problems are inter-related. In fact the trend in recent years has been towards stronger interactions between these areas. As a result, a large component of the contributions is concerned with the theory of stochastic processes, quantum theory, and their relations.

Author: Yaroslav D. Sergeyev
Publisher: Luigi Pellegrini Editore
ISBN: 8868220334
Category : Mathematics
Languages : en
Pages : 153

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Book Description
This book contains Proceedings of the International Conference and Summer School NUMTA-2013 “Numerical Computations: Theory and Algorithms”. The Conference is organized jointly by the University of Calabria, Italy, and by the N.I. Lobachevsky State University of Nizhni Novgorod, Russia in cooperation with the Society for Industrial and Applied Mathematics (SIAM), USA. The goal of the Conference is to create a multidisciplinary round table for an open discussion on numerical modeling nature by using traditional and emerging computational paradigms. The Conference discusses all aspects of numerical computations and modeling from foundations and philosophy to advanced numerical techniques. New technological challenges and fundamental ideas from theoretical computer science, linguistic, logic, set theory, and philosophy meet requirements and new fresh applications from physics, chemistry, biology, and economy.

Author: A. Hurd
Publisher: Springer
ISBN: 3540379282
Category : Mathematics
Languages : en
Pages : 361

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Author: Ravi P. Agarwal
Publisher: Hindawi Publishing Corporation
ISBN: 9789775945389
Category : Difference equations
Languages : en
Pages : 1266

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Author: National Association of Accountants
Publisher:
ISBN:
Category : Cost accounting
Languages : en
Pages : 356

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Author:
Publisher:
ISBN:
Category : Cost accounting
Languages : en
Pages : 356

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Author: Imme van den Berg
Publisher: Springer Science & Business Media
ISBN: 3211499059
Category : Mathematics
Languages : en
Pages : 415

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Book Description
This book reflects the progress made in the forty years since the appearance of Abraham Robinson’s revolutionary book Nonstandard Analysis in the foundations of mathematics and logic, number theory, statistics and probability, in ordinary, partial and stochastic differential equations and in education. The contributions are clear and essentially self-contained.

Author: Nigel Cutland
Publisher: Cambridge University Press
ISBN: 052135109X
Category : Mathematics
Languages : en
Pages : 365

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Book Description
This textbook is an introduction to non-standard analysis and to its many applications. Non standard analysis (NSA) is a subject of great research interest both in its own right and as a tool for answering questions in subjects such as functional analysis, probability, mathematical physics and topology. The book arises from a conference held in July 1986 at the University of Hull which was designed to provide both an introduction to the subject through introductory lectures, and surveys of the state of research. The first part of the book is devoted to the introductory lectures and the second part consists of presentations of applications of NSA to dynamical systems, topology, automata and orderings on words, the non- linear Boltzmann equation and integration on non-standard hulls of vector lattices. One of the book's attractions is that a standard notation is used throughout so the underlying theory is easily applied in a number of different settings. Consequently this book will be ideal for graduate students and research mathematicians coming to the subject for the first time and it will provide an attractive and stimulating account of the subject.

Author: Juichi Shinoda
Publisher: Springer
ISBN: 3540482202
Category : Mathematics
Languages : en
Pages : 228

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Book Description
These proceedings include the papers presented at the logic meeting held at the Research Institute for Mathematical Sciences, Kyoto University, in the summer of 1987. The meeting mainly covered the current research in various areas of mathematical logic and its applications in Japan. Several lectures were also presented by logicians from other countries, who visited Japan in the summer of 1987.