Integral Transform Techniques for Green's Function: 76 (Lecture Notes in Applied and Computational Mechanics, 76) - Softcover

Book 24 of 49: Lecture Notes in Applied and Computational Mechanics

Watanabe, Kazumi

 
9783319345871: Integral Transform Techniques for Green's Function: 76 (Lecture Notes in Applied and Computational Mechanics, 76)
Softcover
ISBN 10: 3319345877 ISBN 13: 9783319345871
Publisher: Springer, 2016

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Professor Watanabe is retired professor (2012) of mechanical engineering; he is active member of the advisory board of Acta Mechanica and has already co-edited a book at Springer

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2016
Language
English
ISBN 10 
3319345877
ISBN 13 
9783319345871
Binding
Paperback
Number of pages
278

Other Popular Editions of the Same Title

9783319008783: Integral Transform Techniques for Green's Function: 71 (Lecture Notes in Applied and Computational Mechanics)

Featured Edition

ISBN 10:  3319008781 ISBN 13:  9783319008783
Publisher: Springer International Publishin..., 2013
Hardcover