Integral Transforms and Their Application

Lokenath Debnath, Dambaru Bhatta

700 pages, parution le 11/10/2006 (2^eme édition)

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Résumé

Features four new chapters on the Radon transform, wavelet transforms, fractional calculus and applications of integral transforms to fractional differential and integral equations, with applications included
Includes recent developments in fractional calculus, fractional differential equations, a chapter on fractional calculus its applications, and a chapter on applications of integral transforms to fractional differential equations
Explores applications in various engineering and science fields such as electrical circuits, networks, and vibrations
Offers a detailed explanation of every concept and method, accompanied by carefully selected worked examples

Keeping the style, content, and focus that made the first edition a bestseller, Integral Transforms and their Applications, Second Edition stresses the development of analytical skills rather than the importance of more abstract formulation. The authors provide a working knowledge of the analytical methods required in pure and applied mathematics, physics, and engineering. The second edition includes many new applications, exercises, comments, and observations with some sections entirely rewritten. It contains more than 500 worked examples and exercises with answers as well as hints to selected exercises.

The most significant changes in the second edition include:

New chapters on fractional calculus and its applications to ordinary and partial differential equations, wavelets and wavelet transformations, and Radon transform
Revised chapter on Fourier transforms, including new sections on Fourier transforms of generalized functions, Poissons summation formula, Gibbs phenomenon, and Heisenbergs uncertainty principle
A wide variety of applications has been selected from areas of ordinary and partial differential equations, integral equations, fluid mechanics and elasticity, mathematical statistics, fractional ordinary and partial differential equations, and special functions
A broad spectrum of exercises at the end of each chapter further develops analytical skills in the theory and applications of transform methods and a deeper insight into the subject

A systematic mathematical treatment of the theory and method of integral transforms, the book provides a clear understanding of the subject and its varied applications in mathematics, applied mathematics, physical sciences, and engineering.

Sommaire

Integral Transforms
Fourier Transforms
Laplace Transforms
Applications Of Laplace Transforms
Fractional Calculus And Its Applications
Applications Of Integral Transforms To Fractional Differential Equations
Hankel Transforms And Their Applications
Mellin Transforms And Their Applications
Hilbert And Stieltjes Transforms
Finite Fourier Sine And Cosine Transforms
Finite Laplace Transforms
Finite Hankel Transforms
Legendre Transforms
Jacobi And Gegenbauer Transforms
Laguerre Transforms
Hermite Transforms
Radon Transforms
Wavelets And Wavelet Transforms
Appendix A: Some Special Functions and Their Properties
Appendix B: Tables of Integral Transforms
Answers and Hints to Selected Exercises
Bibliography
Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Chapman and Hall / CRC
Auteur(s)	Lokenath Debnath, Dambaru Bhatta
Parution	11/10/2006
Édition	2^eme édition
Nb. de pages	700
Format	16 x 24,5
Couverture	Relié
Poids	1154g
Intérieur	Noir et Blanc
EAN13	9781584885757
ISBN13	978-1-58488-575-7