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Integral transform techniques for Gr...

Watanabe, Kazumi.

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Integral transform techniques for Green's function

Record Type:	Electronic resources : Monograph/item
Title/Author:	Integral transform techniques for Green's function/ by Kazumi Watanabe.
Author:	Watanabe, Kazumi.
Published:	Cham :Springer International Publishing : : 2015.,
Description:	xiv, 264 p. :ill., digital ;24 cm.
[NT 15003449]:	Definition of integral transforms and distributions -- Green's functions for Laplace and wave equations -- Green's dyadic for an isotropic elastic solid -- Acoustic wave in an uniform flow -- Green's functions for beam and plate -- Cagniard de Hoop technique -- Miscellaneous Green's functions -- Exercises.
Contained By:	Springer eBooks
Subject:	Integral transforms. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-17455-6
ISBN:	9783319174556 (electronic bk.)

Integral transform techniques for Green's function
Watanabe, Kazumi.

Integral transform techniques for Green's function[electronic resource] /by Kazumi Watanabe. - 2nd ed. - Cham :Springer International Publishing :2015. - xiv, 264 p. :ill., digital ;24 cm. - Lecture notes in applied and computational mechanics,v.761613-7736 ;. - Lecture notes in applied and computational mechanics ;v.61..

Definition of integral transforms and distributions -- Green's functions for Laplace and wave equations -- Green's dyadic for an isotropic elastic solid -- Acoustic wave in an uniform flow -- Green's functions for beam and plate -- Cagniard de Hoop technique -- Miscellaneous Green's functions -- Exercises.

This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green's functions for beams, plates and acoustic media are also shown, along with their mathematical derivations. The Cagniard-de Hoop method for double inversion is described in detail, and 2D and 3D elastodynamic problems are treated in full. This new edition explains in detail how to introduce the branch cut for the multi-valued square root function. Further, an exact closed form Green's function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.

ISBN: 9783319174556 (electronic bk.)

Standard No.: 10.1007/978-3-319-17455-6doiSubjects--Topical Terms:

517865
Integral transforms.

LC Class. No.: QA432

Dewey Class. No.: 515.723

Integral transform techniques for Green's function
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100 1 $a Watanabe, Kazumi. $3 2054696
245 1 0 $a Integral transform techniques for Green's function $h [electronic resource] / $c by Kazumi Watanabe.
250 $a 2nd ed.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xiv, 264 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in applied and computational mechanics, $x 1613-7736 ; $v v.76
505 0 $a Definition of integral transforms and distributions -- Green's functions for Laplace and wave equations -- Green's dyadic for an isotropic elastic solid -- Acoustic wave in an uniform flow -- Green's functions for beam and plate -- Cagniard de Hoop technique -- Miscellaneous Green's functions -- Exercises.
520 $a This book describes mathematical techniques for integral transforms in a detailed but concise manner. The techniques are subsequently applied to the standard partial differential equations, such as the Laplace equation, the wave equation and elasticity equations. Green's functions for beams, plates and acoustic media are also shown, along with their mathematical derivations. The Cagniard-de Hoop method for double inversion is described in detail, and 2D and 3D elastodynamic problems are treated in full. This new edition explains in detail how to introduce the branch cut for the multi-valued square root function. Further, an exact closed form Green's function for torsional waves is presented, as well as an application technique of the complex integral, which includes the square root function and an application technique of the complex integral.
650 0 $a Integral transforms. $3 517865
650 0 $a Green's functions. $3 596295
650 1 4 $a Engineering. $3 586835
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 890892
650 2 4 $a Theoretical and Applied Mechanics. $3 896500
650 2 4 $a Integral Transforms, Operational Calculus. $3 897325
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Lecture notes in applied and computational mechanics ; $v v.61. $3 1566543
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-17455-6
950 $a Engineering (Springer-11647)