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Dean G.Duffy

Green's Functions with Applications

Green's Functions with Applications

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Format: Paperback / softback
Publication date: 14 August 2018
Publisher: Taylor & Francis Ltd


Since its initial publication over a decade ago, Greens Functions with Applications has served as a comprehensive guide for applied scientists and engineers seeking to employ various methods for deriving Greens functions. This extensively revised second edition maintains the same overarching objective, while undergoing a meticulous update to align with the latest advancements in the field.

The book commences with essential background information, encompassing a new chapter on the historical evolution of the Greens function, comprehensive coverage of Fourier and Laplace transforms, an in-depth exploration of classical special functions such as Bessel functions and Legendre polynomials, and a review of the Dirac delta function.

Subsequently, the text presents Greens functions tailored to each class of differential equation, encompassing ordinary differential equations (ODEs), wave equations, heat equations, and Helmholtz equations, considering the number of spatial dimensions and the geometry of the domain. Each chapter offers detailed step-by-step methodologies for locating and computing Greens functions, accompanied by a dedicated section highlighting their particular applications. For instance, in the context of the wave equation, Greens functions play a pivotal role in describing diffraction and waves.

To enhance readers' practical skills in identifying Greens functions, the text incorporates numerous worked examples, problem sets, and illustrations drawn from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas. A new chapter dedicated to numerical methods concludes the book.

Furthermore, the inclusion of comprehensive solutions and an extensive list of references to the literature on the construction and utilization of Green's functions renders Greens Functions with Applications, Second Edition, an invaluable resource for practitioners and graduate students alike in the fields of science and engineering.

Weight: 1048g
Dimension: 155 x 232 x 60 (mm)
ISBN-13: 9781138894464
Edition number: 2 New edition

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