東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Theory of semigroups and applications

Sinha, Kalyan B.

Linked to FindBook

Google Book

Amazon

博客來

Theory of semigroups and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Theory of semigroups and applications/ by Kalyan B. Sinha, Sachi Srivastava.
Author:	Sinha, Kalyan B.
other author:	Srivastava, Sachi.
Published:	Singapore :Springer Singapore : : 2017.,
Description:	xii, 169 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter 1. Vector-valued functions -- Chapter 2. C0-semigroups -- Chapter 3. Dissipative operators and holomorphic semigroups -- Chapter 4. Perturbation and convergence of semigroups -- Chapter 5. Chernoff's Theorem and its applications -- Chapter 6. Markov semigroups -- Chapter 7. Applications to partial differential equations -- Appendix A1. Unbounded operators -- Appendix A2. Fourier transforms -- Appendix A3. Sobolev spaces.
Contained By:	Springer eBooks
Subject:	Semigroups. -
Online resource:	http://dx.doi.org/10.1007/978-981-10-4864-7
ISBN:	9789811048647

Theory of semigroups and applications
Sinha, Kalyan B.

Theory of semigroups and applications[electronic resource] /by Kalyan B. Sinha, Sachi Srivastava. - Singapore :Springer Singapore :2017. - xii, 169 p. :ill., digital ;24 cm. - Texts and readings in mathematics,742366-8717 ;. - Texts and readings in mathematics ;74..

Chapter 1. Vector-valued functions -- Chapter 2. C0-semigroups -- Chapter 3. Dissipative operators and holomorphic semigroups -- Chapter 4. Perturbation and convergence of semigroups -- Chapter 5. Chernoff's Theorem and its applications -- Chapter 6. Markov semigroups -- Chapter 7. Applications to partial differential equations -- Appendix A1. Unbounded operators -- Appendix A2. Fourier transforms -- Appendix A3. Sobolev spaces.

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.

ISBN: 9789811048647

Standard No.: 10.1007/978-981-10-4864-7doiSubjects--Topical Terms:

609931
Semigroups.

LC Class. No.: QA182

Dewey Class. No.: 512.27

Theory of semigroups and applications
LDR:02721nmm a2200313 a 4500 001 2105748
003 DE-He213
005 20170712131535.0
006 m d
007 cr nn 008maaau
008 180417s2017 si s 0 eng d
020 $a 9789811048647 $q (electronic bk.)
024 7 $a 10.1007/978-981-10-4864-7 $2 doi
035 $a 978-981-10-4864-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA182
072 7 $a PBKF $2 bicssc
072 7 $a MAT037000 $2 bisacsh
082 0 4 $a 512.27 $2 23
090 $a QA182 $b .S617 2017
100 1 $a Sinha, Kalyan B. $3 629836
245 1 0 $a Theory of semigroups and applications $h [electronic resource] / $c by Kalyan B. Sinha, Sachi Srivastava.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2017.
300 $a xii, 169 p. : $b ill., digital ; $c 24 cm.
490 1 $a Texts and readings in mathematics, $x 2366-8717 ; $v 74
505 0 $a Chapter 1. Vector-valued functions -- Chapter 2. C0-semigroups -- Chapter 3. Dissipative operators and holomorphic semigroups -- Chapter 4. Perturbation and convergence of semigroups -- Chapter 5. Chernoff's Theorem and its applications -- Chapter 6. Markov semigroups -- Chapter 7. Applications to partial differential equations -- Appendix A1. Unbounded operators -- Appendix A2. Fourier transforms -- Appendix A3. Sobolev spaces.
520 $a 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.
650 0 $a Semigroups. $3 609931
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Functional Analysis. $3 893943
650 2 4 $a Real Functions. $3 891265
650 2 4 $a Ordinary Differential Equations. $3 891264
650 2 4 $a Partial Differential Equations. $3 890899
700 1 $a Srivastava, Sachi. $3 3250927
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Texts and readings in mathematics ; $v 74. $3 3250928
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-4864-7
950 $a Mathematics and Statistics (Springer-11649)