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Titlebook: Integral Equations and Integral Transforms; Sudeshna Banerjea,Birendra Nath Mandal Textbook 2023 The Editor(s) (if applicable) and The Aut

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書目名稱Integral Equations and Integral Transforms
編輯Sudeshna Banerjea,Birendra Nath Mandal
視頻videohttp://file.papertrans.cn/469/468303/468303.mp4
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
圖書封面Titlebook: Integral Equations and Integral Transforms;  Sudeshna Banerjea,Birendra Nath Mandal Textbook 2023 The Editor(s) (if applicable) and The Aut
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
關(guān)鍵詞integral transforms; integral equations; Fredholm integral equations; Fourier transform; Laplace transfo
版次1
doihttps://doi.org/10.1007/978-981-99-6360-7
isbn_softcover978-981-99-6362-1
isbn_ebook978-981-99-6360-7
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapor
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Integral Equations of Second Kind with Continuous and Square Integrable KernelWe shall now use the method of successive approximation to obtain the solution of integral equation (3.1).
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Integral Equations: An Introductionplied mathematics. Integral equations arise in a natural way in course of solving the initial and boundary value problems associated with mathematical modeling of physical phenomena. The solutions of integral equations play an important role to understand the qualitative features of the physical phenomena in the natural sciences.
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