| 书目名称 | Integral Equations and Integral Transforms | | 编辑 | Sudeshna Banerjea,Birendra Nath Mandal | | 视频video | | | 概述 | Introduces basic concepts of linear integral equations and integral transforms.Includes over 84 solved examples and 180 problems.Discusses a general method for the construction various integral transf | | 图书封面 |  | | 描述 | .This comprehensive textbook on linear integral equations and integral transforms is aimed at senior undergraduate and graduate students of mathematics and physics. The book covers a range of topics including Volterra and Fredholm integral equations, the second kind of integral equations with symmetric kernels, eigenvalues and eigen functions, the Hilbert–Schmidt theorem, and the solution of Abel integral equations by using an elementary method. .In addition, the book covers various integral transforms including Fourier, Laplace, Mellin, Hankel, and Z-transforms. One of the unique features of the book is a general method for the construction of various integral transforms and their inverses, which is based on the properties of delta function representation in terms of Green’s function of a Sturm–Liouville type ordinary differential equation and its applications to physical problems. .The book is divided into two parts: integral equations and integral transforms.Each chapter is supplemented with numerous illustrative examples to aid in understanding. The clear and concise presentation of the topics covered makes this book an ideal resource for students, researchers, and professional | | 出版日期 | Textbook 2023 | | 关键词 | integral transforms; integral equations; Fredholm integral equations; Fourier transform; Laplace transfo | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-99-6360-7 | | isbn_softcover | 978-981-99-6362-1 | | isbn_ebook | 978-981-99-6360-7 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor |
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发表于 2025-3-21 18:24:39
