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Integral Transform Techniques for Green's Function

Kazumi Watanabe
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      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.
      Format: Paperback / softback CONTRIBUTORS: Kazumi Watanabe EAN: 9783319345871 COUNTRY: Switzerland PAGES: WEIGHT: 4277 g HEIGHT: 235 cm
      PUBLISHED BY: Springer International Publishing AG DATE PUBLISHED: 2016-10-09 CITY: GENRE: MATHEMATICS / Mathematical Analysis, TECHNOLOGY & ENGINEERING / Engineering (General), TECHNOLOGY & ENGINEERING / Mechanical WIDTH: 155 cm SPINE:

      Book Themes:

      Integral calculus and equations, Maths for engineers, Mechanical engineering

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      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
      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.
      Format: Paperback / softback CONTRIBUTORS: Kazumi Watanabe EAN: 9783319345871 COUNTRY: Switzerland PAGES: WEIGHT: 4277 g HEIGHT: 235 cm
      PUBLISHED BY: Springer International Publishing AG DATE PUBLISHED: 2016-10-09 CITY: GENRE: MATHEMATICS / Mathematical Analysis, TECHNOLOGY & ENGINEERING / Engineering (General), TECHNOLOGY & ENGINEERING / Mechanical WIDTH: 155 cm SPINE:

      Book Themes:

      Integral calculus and equations, Maths for engineers, Mechanical engineering

      Customer Reviews

      Be the first to write a review
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      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

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