Orthogonal polynomials of several variables /
"This is the first modern book on orthogonal polynomials of several variables, which are interesting both as objects of study and as tools used in multivariate analysis, including approximations and numerical integration. The book, which is intended both as an introduction to the subject and as...
| Основен автор: | Dunkl, Charles F., 1941- |
|---|---|
| Други автори: | Xu, Yuan, 1957- |
| Формат: | Електронна книга |
| Език: | English |
| Публикувано: |
Cambridge ; New York :
Cambridge University Press,
2001.
|
| Серия: |
Encyclopedia of mathematics and its applications ;
v. 81. |
| Предмети: | |
| Онлайн достъп: |
http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569278 |
| Подобни документи: |
Print version::
Orthogonal polynomials of several variables |
| Резюме: |
"This is the first modern book on orthogonal polynomials of several variables, which are interesting both as objects of study and as tools used in multivariate analysis, including approximations and numerical integration. The book, which is intended both as an introduction to the subject and as a reference, presents the theory in elegant form and with modern concepts and notation. It introduces the general theory and emphasizes the classical types of orthogonal polynomials whose weight functions are supported on standard domains such as the cube, the simplex, the sphere and the ball, or those of Gaussian type, for which fairly explicit formulae exist. The approach is a blend of classical analysis and symmetry-group-theoretic methods. Reflection groups are used to motivate and classify symmetries of weight functions and the associated polynomials. Many results come from current research literature. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers."--Jacket. |
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| Физически характеристики: |
1 online resource (xv, 390 pages). |
| Библиография: |
Includes bibliographical references (pages 372-383) and indexes. |
| ISBN: |
9781107089518 1107089514 0511565712 9780511565717 9781107095823 1107095824 |