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Integral equations and integral transforms

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Integral equations and integral transforms/ by Sudeshna Banerjea, Birendra Nath Mandal.
作者:	Banerjea, Sudeshna.
其他作者:	Mandal, Birendra Nath.
出版者:	Singapore :Springer Nature Singapore : : 2023.,
面頁冊數:	xi, 265 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Integral Transforms and Operational Calculus. -
電子資源:	https://doi.org/10.1007/978-981-99-6360-7
ISBN:	9789819963607

Integral equations and integral transforms
Banerjea, Sudeshna.

Integral equations and integral transforms[electronic resource] /by Sudeshna Banerjea, Birendra Nath Mandal. - Singapore :Springer Nature Singapore :2023. - xi, 265 p. :ill., digital ;24 cm.

Integral Equations: An Introduction -- Fredholm integral equation of the second kind with degenerate kernel -- Integral equations of second kind with more general form of kernel -- Integral equations with symmetric kernel -- Abel integral equations -- Fourier Transform -- Laplace Transform -- Mellin Transform -- Hankel Transform -- Z Transform -- Formal Construction of Integral Transforms and Their Inverses.

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 professionals interested in the theory and application of linear integral equations and integral transforms.

ISBN: 9789819963607

Standard No.: 10.1007/978-981-99-6360-7doiSubjects--Topical Terms:

1366597
Integral Transforms and Operational Calculus.

LC Class. No.: QA431 / .B36 2023

Dewey Class. No.: 515.45

Integral equations and integral transforms
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520 $a 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 professionals interested in the theory and application of linear integral equations and integral transforms.
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