Utvidet returrett til 31. januar 2024

Integral Equations and Integral Transforms

Om 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.

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  • Språk:
  • Engelsk
  • ISBN:
  • 9789819963591
  • Bindende:
  • Hardback
  • Sider:
  • 280
  • Utgitt:
  • 19. oktober 2023
  • Utgave:
  • 23001
  • Dimensjoner:
  • 160x21x241 mm.
  • Vekt:
  • 588 g.
  • BLACK NOVEMBER
  Gratis frakt
Leveringstid: 2-4 uker
Forventet levering: 22. november 2024

Beskrivelse av 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.

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