Transform Methods for Solving Partial Differential Equations
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > Transform Methods for Solving Partial Differential Equations: (Symbolic & Numeric Computation)
Transform Methods for Solving Partial Differential Equations: (Symbolic & Numeric Computation)

Transform Methods for Solving Partial Differential Equations: (Symbolic & Numeric Computation)


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About the Book

For most scientists and engineers, the only analytic technique for solving linear partial differential equations is separation of variables. In Transform Methods for Solving Partial Differential Equations, the author uses the power of complex variables to demonstrate how Laplace and Fourier transforms can be harnessed to solve many practical, everyday problems experienced by scientists and engineers. Unlike many mathematics texts, this book provides a step-by-step analysis of problems taken from scientific and engineering literature. Detailed solutions are given in the back of the book. This essential text/reference draws from the latest literature on transform methods to provide in-depth discussions on the joint transform problem, the Cagniard-de Hoop method, and the Wiener-Hopf technique. Some 1,500 references are included as well.

Table of Contents:
The Fundamentals Laplace Transforms Fourier Transforms Linear Ordinary Differential Equations Complex Variables Multivalued Functions, Branch Points, Branch Cuts and Riemann Surfaces Some Examples of Integration Which Involve Multivalued Functions Transform Methods with Single-Valued Functions Inversion of Laplace Transforms by Contour Integration Inversion of Fourier Transforms by Contour Integration The Solution of Partial Differential Equations by Laplace Transforms The Solution of Partial Differential Equations by Fourier Transforms The Solution of Partial Differential Equations by Hankel Transforms Transform Methods with Multivalued Functions Inversion of Laplace Transforms by Contour Integration Inversion of Fourier Transforms by Contour Integration The Solution of Partial Differential Equations by Laplace Transforms The Solution of Partial Differential Equations by Fourier Transforms The Joint Transform Method The Solution of Partial Differential Equations Using the Joint Transform Method Inversion of the Joint Transform by Cagniard's Method The Modification of Cagniard's Method by De Hoop Expansions of Terms of Leaky Modes The Wiener-Hopf Technique The Wiener-Hopf Technique When the Factorization Contains No Branch Points The Wiener-Hopf Technique When the Factorization Contains Branch Points The Wiener-Hopf Technique with a Finite Scatterer Worked Solutions to Some of the Problems Index


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Product Details
  • ISBN-13: 9780849373749
  • Publisher: Taylor & Francis Inc
  • Publisher Imprint: CRC Press Inc
  • Height: 235 mm
  • No of Pages: 512
  • Returnable: N
  • Weight: 907 gr
  • ISBN-10: 0849373743
  • Publisher Date: 16 Feb 1994
  • Binding: Hardback
  • Language: English
  • No of Pages: 512
  • Series Title: Symbolic & Numeric Computation
  • Width: 156 mm


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