Orthogonal Polynomials of Several Variables 在線電子書 圖書標籤: 正交多項式 of Variables Several Polynomials Orthogonal
發表於2024-11-10
Orthogonal Polynomials of Several Variables 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
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. The book will be welcomed by research mathematicians and applied scientists, including applied mathematicians, physicists, chemists and engineers.
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Orthogonal Polynomials of Several Variables 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024