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Author | : Amnon Pazy |
Publisher | : Springer Science & Business Media |
Total Pages | : 289 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461255619 |
Download Semigroups of Linear Operators and Applications to Partial Differential Equations Book in PDF, ePub and Kindle
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.
Author | : J.C. Rosales |
Publisher | : Springer Science & Business Media |
Total Pages | : 186 |
Release | : 2009-12-24 |
Genre | : Mathematics |
ISBN | : 1441901604 |
Download Numerical Semigroups Book in PDF, ePub and Kindle
"Numerical Semigroups" is the first monograph devoted exclusively to the development of the theory of numerical semigroups. This concise, self-contained text is accessible to first year graduate students, giving the full background needed for readers unfamiliar with the topic. Researchers will find the tools presented useful in producing examples and counterexamples in other fields such as algebraic geometry, number theory, and linear programming.
Author | : Kalyan B. Sinha |
Publisher | : Springer |
Total Pages | : 176 |
Release | : 2017-07-12 |
Genre | : Mathematics |
ISBN | : 9811048649 |
Download Theory of Semigroups and Applications Book in PDF, ePub and Kindle
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.
Author | : Attila Nagy |
Publisher | : Springer Science & Business Media |
Total Pages | : 288 |
Release | : 2001-05-31 |
Genre | : Mathematics |
ISBN | : 9780792368908 |
Download Special Classes of Semigroups Book in PDF, ePub and Kindle
In semigroup theory there are certain kinds of band decompositions, which are very useful in the study of the structure semigroups. There are a number of special semigroup classes in which these decompositions can be used very successfully. The book focuses attention on such classes of semigroups. Some of them are partially discussed in earlier books, but in the last thirty years new semigroup classes have appeared and a fairly large body of material has been published on them. The book provides a systematic review on this subject. The first chapter is an introduction. The remaining chapters are devoted to special semigroup classes. These are Putcha semigroups, commutative semigroups, weakly commutative semigroups, R-Commutative semigroups, conditionally commutative semigroups, RC-commutative semigroups, quasi commutative semigroups, medial semigroups, right commutative semigroups, externally commutative semigroups, E-m semigroups, WE-m semigroups, weakly exponential semigroups, (m,n)-commutative semigroups and n(2)-permutable semigroups. Audience: Students and researchers working in algebra and computer science.
Author | : Alfred Hoblitzelle Clifford |
Publisher | : American Mathematical Soc. |
Total Pages | : 370 |
Release | : 1961 |
Genre | : Group theory |
ISBN | : 0821802720 |
Download The Algebraic Theory of Semigroups, Volume II Book in PDF, ePub and Kindle
Author | : E. S. Li͡apin |
Publisher | : American Mathematical Soc. |
Total Pages | : 542 |
Release | : 1968 |
Genre | : Mathematics |
ISBN | : 9780821886410 |
Download Semigroups Book in PDF, ePub and Kindle
Author | : Abdallah Assi |
Publisher | : Springer |
Total Pages | : 113 |
Release | : 2016-08-25 |
Genre | : Mathematics |
ISBN | : 3319413309 |
Download Numerical Semigroups and Applications Book in PDF, ePub and Kindle
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.
Author | : Wolfgang Arendt |
Publisher | : Springer |
Total Pages | : 468 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540397914 |
Download One-parameter Semigroups of Positive Operators Book in PDF, ePub and Kindle
Author | : Klaus-Jochen Engel |
Publisher | : Springer Science & Business Media |
Total Pages | : 257 |
Release | : 2006-06-06 |
Genre | : Mathematics |
ISBN | : 0387313419 |
Download A Short Course on Operator Semigroups Book in PDF, ePub and Kindle
The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.
Author | : T. E. Hall |
Publisher | : Academic Press |
Total Pages | : 266 |
Release | : 2014-05-10 |
Genre | : Mathematics |
ISBN | : 1483267334 |
Download Semigroups Book in PDF, ePub and Kindle
Semigroups is a collection of papers dealing with models of classical statistics, sequential computing machine, inverse semi-groups. One paper explains the structure of inverse semigroups that leads to P-semigroups or E-unitary inverse semigroups by utilizing the P-theorem of W.D. Nunn. Other papers explain the characterization of divisibility in the category of sets in terms of images and relations, as well as the universal aspects of completely simple semigroups, including amalgamation, the lattice of varieties, and the Hopf property. Another paper explains finite semigroups which are extensions of congruence-free semigroups, where their set of congruences forms a chain. The paper then shows how to construct such semigroups. A finite semigroup (which is decomposable into a direct product of cyclic semigroups which are not groups) is actually uniquely decomposable. One paper points out when a finite semigroup has such a decomposition, and how its non-group cyclic direct factors, if any, can be found. The collection can prove useful for mathematicians, statisticians, students, and professors of higher mathematics or computer science.