Integral Transform Techniques for Green's Function, 1st Edition

  • Published By:
  • ISBN-10: 331900879X
  • ISBN-13: 9783319008790
  • DDC: 515.723
  • Grade Level Range: College Freshman - College Senior
  • 190 Pages | eBook
  • Original Copyright 2014 | Published/Released May 2014
  • This publication's content originally published in print form: 2014

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In this book mathematical techniques for integral transforms are described in detail but concisely. The techniques are applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. The Green's functions for beams, plates and acoustic media are also shown along with their mathematical derivations. Lists of Green's functions are presented for the future use. The Cagniard's-de Hoop method for the double inversion is described in detail, and 2D and 3D elasto-dynamics problems are fully treated.

Table of Contents

Front Cover.
Editorial Board.
Title Page.
Copyright Page.
1: Definition of Integral Transforms and Distributions.
2: Green's Functions for Laplace and Wave Equations.
3: Green's Dyadic for an Isotropic Elastic Solid.
4: Acoustic Wave in a Uniform Flow.
5: Green's Functions for Beam and Plate.
6: Cagniard-de Hoop Technique.
7: Miscellaneous Green's Functions.