| 书目名称 | Sturm-Liouville Theory and its Applications |
| 编辑 | M. A. Al-Gwaiz |
| 视频video | |
| 概述 | Provides a rigorous introduction to the theory at a level suitable for undergraduates.Includes plenty of clearly-worked examples and exercises with solutions thereby making the book well-suited for se |
| 丛书名称 | Springer Undergraduate Mathematics Series |
| 图书封面 |  |
| 描述 | .Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L.2.. The treatment relies heavily on the convergence properties of sequences and series of numbers as well as functions, and assumes a solid background in advanced calculus and an acquaintance with ordinary differential equations and linear algebra. Familiarity with the relevant theorems of real analysis, such as the Ascoli–Arzelà theorem, is also useful for following the proofs...The presentation follows a clear and rigorous mathematical style that is both readable and well motivated, with many examples and applications used to illustrate the theory. Although addressed primarily to undergraduate students of mathematics, the book will also be of interest to students in related disciplines, such as physics and engineering, where Fourier analysis and special functions are used extensively for solving linear differential equations.. |
| 出版日期 | Textbook 2008 |
| 关键词 | Fourier analysis; Fourier integral; Fourier series; Fourier transform; Mathematical methods; Special func |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-1-84628-972-9 |
| isbn_softcover | 978-1-84628-971-2 |
| isbn_ebook | 978-1-84628-972-9Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
| issn_series | 1615-2085 |
| copyright | Springer-Verlag London 2008 |
发表于 2025-3-21 18:26:19
