Integral Equations and Integral Transforms
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
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 transforms and their inverses
Autor*in
Sudeshna Banerjea
Themen in »Integral Equations and Integral Transforms«
integral transforms integral equations Fredholm integral equations Fourier transform Laplace transform Mellin transform Hankel transform Z-transform
Stimmen zu »Integral Equations and Integral Transforms«
“Textbook material is intended for students with different levels of training. The authors tried to present it in such a way as to help the reader master the basics of the subject as much as possible. In this regard, the text provides numerous examples, exercises and test problems. Undoubtedly, this textbook will be useful for getting some initial acquaintance with the theory of integral equations and integral transforms and will give students some idea of this theory as a whole.” (Vitaliy Volchkov, zbMATH 1540.44001, 2024)
()