Analytical Methods in Applied Mathematics
This book compiles an extensive list of solved and proposed problems in mathematical topics in analysis, aimed at students of mathematics, applied mathematics, physics, and engineering. The book begins with an exploration of simple linear and nonlinear ordinary differential equations in Chapter 1, a...
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| Những tác giả chính: | , |
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| Tác giả của công ty: | |
| Định dạng: | Điện tử eBook |
| Ngôn ngữ: | Tiếng Anh |
| Được phát hành: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Phiên bản: | 1st ed. 2025. |
| Loạt: | Problem Books in Mathematics,
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| Những chủ đề: | |
| Truy cập trực tuyến: | https://doi.org/10.1007/978-3-031-74794-6 |
| Các nhãn: |
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| Tóm tắt: | This book compiles an extensive list of solved and proposed problems in mathematical topics in analysis, aimed at students of mathematics, applied mathematics, physics, and engineering. The book begins with an exploration of simple linear and nonlinear ordinary differential equations in Chapter 1, advancing through topics such as power series and the Frobenius method for solving differential equations in Chapter 2. In subsequent chapters, the discussion expands to include functions of complex variables, special functions constructed through the hypergeometric function, and series solutions including Fourier, Fourier-Bessel, and Fourier-Legendre series. Problems in integral transforms, Sturm-Liouville systems, Green's function, linear partial differential equations are also included. The work finishes with a special chapter on fractional calculus and practical applications of the topics presented. With solved examples and step-by-step exercises, this book can be of value to undergraduate and graduate students seeking a hands-on approach on the listed topics, and as a bibliographical complement to STEM courses as well. |
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| Mô tả vật lý: | 1 online resource (XIII, 388 p. 15 illus.). |
| số ISBN: | 9783031747946 |
| số ISSN: | 2197-8506 |
| DOI: | 10.1007/978-3-031-74794-6 |