Mathematics and its applications.Vol. 2Algebraic structures and operator calculus
- 作者: Feinsilver, Philip J.
- 其他作者: Schott, René.
- 出版: Dordrecht ;Boston : Kluwer Academic ©1993.
- 稽核項: 1 online resource (ix, 148 pages).
- 叢書名: Mathematics and its applications. ;v. 241, 292, 347
- 標題: Calculus, Operational. , MATHEMATICS Mathematical Analysis. , Electronic books. , MATHEMATICS Calculus. , Probabilities. , Mathematical Analysis. , MATHEMATICS , Representations of groups. , Calculus.
- ISBN: 079232921X , 9780792329213
- ISBN: 079232921X
- 試查全文@TNUA:
- 附註: Includes bibliographical references and indexes. v. 2. Special functions and computer science.
- 摘要: This is the second of three volumes which present, in an original way, some of the most important tools of applied mathematics in areas such as probability theory, operator calculus, representation theory, and special functions, used in solving problems in mathematics, physics and computer science. This second volume - Special Functions and Computer Science - presents some applications of special functions in computer science. It largely consists of adaptations of articles that have appeared in the literature, but here they are presented in a format made accessible for the non-expert by providing some context. The material on group representation and Young tableaux is introductory in nature. The algebraic approach of Chapter 2 is original to the authors and has not appeared previously. Similarly, the material and approach based on Appell states, so formulated, is presented here for the first time. The solutions are tackled with the help of various analytical techniques, such as generating functions and probabilistic methods and insights appear regularly. For pure and applied mathematicians and theoretical computer scientists. It is suitable for selfstudy by researchers, as well as being appropriate as a text for a course or advanced seminar.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=39576
- 系統號: 005291565
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
In this volume we will present some applications of special functions in computer science. This largely consists of adaptations of articles that have appeared in the literature . Here they are presented in a format made accessible for the non-expert by providing some context. The material on group representations and Young tableaux is introductory in nature. However, the algebraic approach of Chapter 2 is original to the authors and has not appeared previously . Similarly, the material and approach based on Appell states, so formulated, is presented here for the first time . As in all volumes of this series, this one is suitable for self-study by researchers . It is as well appropriate as a text for a course or advanced seminar . The solutions are tackled with the help of various analytical techniques, such as g- erating functions, and probabilistic methods/insights appear regularly . An interesting feature is that, as has been the case in classical applications to physics, special functions arise- here in complexity analysis. And, as in physics, their appearance indicates an underlying Lie structure. Our primary audience is applied mathematicians and theoretical computer scientists . We are quite sure that pure mathematicians will find this volume interesting and useful as well .
來源: Google Book
來源: Google Book
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