Sachi Srivastava's Books

Theory of Semigroups and Applications

By: Kalyan B. Sinha,Sachi Srivastava

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Theory of Semigroups and Applications

By: Kalyan B. Sinha,Sachi Srivastava

The book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications. Along with a systematic development of the subject, the book emphasises on the explorations of the contact areas and interfaces, supported by the presentations of explicit computations, wherever feasible. Designed into seven chapters and three appendixes, the book targets to the graduate and senior undergraduate students of mathematics, as well as researchers in the respective areas. The book envisages the pre-requisites of a good understanding of real analysis with elements of the theory of measures and integration, and a first course in functional analysis and in the theory of operators. Chapters 4 through 6 contain advanced topics, which have many interesting applications such as the Feynman–Kac formula, the central limit theorem and the construction of Markov semigroups. Many examples have been given in each chapter, partly to initiate and motivate the theory developed and partly to underscore the applications. The choice of topics in this vastly developed book is a difficult one, and the authors have made an effort to stay closer to applications instead of bringing in too many abstract concepts.

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Page Count

176

Publisher

Springer

Published Date

ISBN 10

9811048649

ISBN 13

9789811048647

Theory of Semigroups and Applications

By: Kalyan B. Sinha,Sachi Srivastava

Write a review Read reviews Take a Quiz Solve Book Puzzle

Theory of Semigroups and Applications

By: Kalyan B. Sinha,Sachi Srivastava

Average ratings

N/A

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Solve jigsaw puzzle

Age

Page Count

176

Publisher

Springer

Published Date

ISBN 10

9811048649

ISBN 13

9789811048647

Theory of Semigroups and Applications

By: Kalyan Bidhan Sinha,Sachi Srivastava

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Theory of Semigroups and Applications

By: Kalyan Bidhan Sinha,Sachi Srivastava

This book combines the spirit of a textbook and of a monograph on the topic of Semigroups and their applications. It is expected to have potential users across a broad spectrum including operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics. A reasonable amount of familiarity with real analysis, including the Lebesgue-integration theory, basic functional analysis and bounded linear operators is assumed. However, any discourse on a theory of semigroups needs an introduction to unbounded linear operators, some elements of which have been included in the Appendix, along with the basic ideas of the Fourier transform and of Sobolev spaces. The chapters 4 through 6 contain advanced material, not often found in textbooks, but which have many interesting applications such as the Feynman-Kac formula, the central limit theorem and the construction of Markov semigroups. The exercises are given in the text as the topics are developed, so that the interested reader can be persuaded to solve these as a part of learning that topic.

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Page Count

167

Published Date

ISBN 10

9386279630

ISBN 13

9789386279637

Book's by Sachi Srivastava

Theory of Semigroups and Applications

Theory of Semigroups and Applications

Theory of Semigroups and Applications

Theory of Semigroups and Applications

Theory of Semigroups and Applications

Theory of Semigroups and Applications

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