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Theory of Semigroups and Applications

2017-07-12 Mathematics
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Release : 2017-07-12
Genre : Mathematics
Kind : eBook
Book Rating : 649/5 ( reviews)

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Book Synopsis Theory of Semigroups and Applications by : Kalyan B. Sinha

Download or read book Theory of Semigroups and Applications written by Kalyan B. Sinha. This book was released on 2017-07-12. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Semigroups of Linear Operators and Applications to Partial Differential Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 619/5 ( reviews)

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Book Synopsis Semigroups of Linear Operators and Applications to Partial Differential Equations by : Amnon Pazy

Download or read book Semigroups of Linear Operators and Applications to Partial Differential Equations written by Amnon Pazy. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: Since the characterization of generators of C0 semigroups was established in the 1940s, semigroups of linear operators and its neighboring areas have developed into an abstract theory that has become a necessary discipline in functional analysis and differential equations. This book presents that theory and its basic applications, and the last two chapters give a connected account of the applications to partial differential equations.

Numerical Semigroups and Applications

2016-08-25 Mathematics
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Release : 2016-08-25
Genre : Mathematics
Kind : eBook
Book Rating : 309/5 ( reviews)

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Book Synopsis Numerical Semigroups and Applications by : Abdallah Assi

Download or read book Numerical Semigroups and Applications written by Abdallah Assi. This book was released on 2016-08-25. Available in PDF, EPUB and Kindle. Book excerpt: This work presents applications of numerical semigroups in Algebraic Geometry, Number Theory, and Coding Theory. Background on numerical semigroups is presented in the first two chapters, which introduce basic notation and fundamental concepts and irreducible numerical semigroups. The focus is in particular on free semigroups, which are irreducible; semigroups associated with planar curves are of this kind. The authors also introduce semigroups associated with irreducible meromorphic series, and show how these are used in order to present the properties of planar curves. Invariants of non-unique factorizations for numerical semigroups are also studied. These invariants are computationally accessible in this setting, and thus this monograph can be used as an introduction to Factorization Theory. Since factorizations and divisibility are strongly connected, the authors show some applications to AG Codes in the final section. The book will be of value for undergraduate students (especially those at a higher level) and also for researchers wishing to focus on the state of art in numerical semigroups research.

Semigroups of Linear Operators

2019-08-15 Mathematics
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Release : 2019-08-15
Genre : Mathematics
Kind : eBook
Book Rating : 097/5 ( reviews)

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Book Synopsis Semigroups of Linear Operators by : David Applebaum

Download or read book Semigroups of Linear Operators written by David Applebaum. This book was released on 2019-08-15. Available in PDF, EPUB and Kindle. Book excerpt: Provides a graduate-level introduction to the theory of semigroups of operators.

Semigroup Theory and Its Applications

1996-05-16 Mathematics
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Release : 1996-05-16
Genre : Mathematics
Kind : eBook
Book Rating : 697/5 ( reviews)

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Book Synopsis Semigroup Theory and Its Applications by : Alfred Hoblitzelle Clifford

Download or read book Semigroup Theory and Its Applications written by Alfred Hoblitzelle Clifford. This book was released on 1996-05-16. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains survey papers by the invited speakers at the Conference on Semigroup Theory and Its Applications which took place at Tulane University in April, 1994. The authors represent the leading areas of research in semigroup theory and its applications, both to other areas of mathematics and to areas outside mathematics. Included are papers by Gordon Preston surveying Clifford's work on Clifford semigroups and by John Rhodes tracing the influence of Clifford's work on current semigroup theory. Notable among the areas of application are the paper by Jean-Eric Pin on applications of other areas of mathematics to semigroup theory and the paper by the editors on an application of semigroup theory to theoretical computer science and mathematical logic. All workers in semigroup theory will find this volume invaluable.

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