| Algebraic Structures and Operator Calculus: Volume II: Special Functions and Computer Science 1994 Edition Contributor(s): Feinsilver, P. (Author), Schott, René (Author) |
|
 |
ISBN: 079232921X ISBN-13: 9780792329213 Publisher: Springer OUR PRICE: $52.24 Product Type: Hardcover - Other Formats Published: June 1994 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Computers | Computer Science - Mathematics | Mathematical Analysis - Mathematics | Algebra - Abstract |
| Dewey: 004 |
| LCCN: 92044824 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.44" H x 6.14" W x 9.21" (0.90 lbs) 150 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 . |