Sturm-Liouville Theory and its Applications / Al-Gwaiz, Mohammed
Tác giả : Al-Gwaiz, Mohammed
Nhà xuất bản : Springer
Năm xuất bản : 2008
Mô tả vật lý : 270 p.
Số phân loại : 515.35
Chủ đề : 1. Applications. 2. Mathematics. 3. Sturm-Liouville Theory ; Sturm-Liouville equation.. 4. Book.
Thông tin chi tiết
Tóm tắt : | Undergraduate textbooks on Fourier series which follow a pointwise approach to convergence miss the rich geometric content which comes with treating the subject within the inner product space L2. This book, developed from a course taught to senior undergraduates, provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2. The basic results of this theory, namely the orthogonality and completeness of its eigenfunctions, are established in Chapter 2; the remaining chapters present examples and applications. The last two chapters, on Fourier and Laplace transformations, while not part of the Sturm-Liouville theory, extend the Fourier series method for representing functions to integral representations. |
Thông tin dữ liệu nguồn
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Đại học quốc gia Hà Nội |
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https://repository.vnu.edu.vn/handle/VNU_123/25398 |