Green's Functions with Applications by Dean G. Duffy (English) Hardcover Book

Description: Green's Functions with Applications by Dean G. Duffy Since publication of the first edition over a decade ago, Greens Functions with Applications has provided applied scientists and engineers with a systematic approach to the various methods available for deriving a Greens function. This fully revised Second Edition retains the same purpose, but has been meticulously updated to reflect the current state of the art. The book opens with necessary background information: a new chapter on the historical development of the Greens function, coverage of the Fourier and Laplace transforms, a discussion of the classical special functions of Bessel functions and Legendre polynomials, and a review of the Dirac delta function. The text then presents Greens functions for each class of differential equation (ordinary differential, wave, heat, and Helmholtz equations) according to the number of spatial dimensions and the geometry of the domain. Detailing step-by-step methods for finding and computing Greens functions, each chapter contains a special section devoted to topics where Greens functions particularly are useful. For example, in the case of the wave equation, Greens functions are beneficial in describing diffraction and waves. To aid readers in developing practical skills for finding Greens functions, worked examples, problem sets, and illustrations from acoustics, applied mechanics, antennas, and the stability of fluids and plasmas are featured throughout the text. A new chapter on numerical methods closes the book.Included solutions and hundreds of references to the literature on the construction and use of Greens functions make Greens Functions with Applications, Second Edition a valuable sourcebook for practitioners as well as graduate students in the sciences and engineering. FORMAT Hardcover LANGUAGE English CONDITION Brand New Author Biography Dean G. Duffy received his bachelor of science in geophysics from Case Institute of Technology, Cleveland, Ohio, USA, and his doctorate of science in meteorology from the Massachusetts Institute of Technology, Cambridge, USA. He served in the US Air Force for four years as a numerical weather prediction officer. After his military service, he began a twenty-five year association with the National Aeronautics and Space Administrations Goddard Space Flight Center, Greenbelt, Maryland, USA. Widely published, Dr. Duffy has taught courses at the US Naval Academy, Annapolis, Maryland, and the US Military Academy, West Point, New York. Table of Contents Historical Development. Background Material. Greens Functions for Ordinary Differential Equations. Greens Functions for the Wave Equation. Greens Functions for the Heat Equation. Greens Functions for the Helmholtz Equation. Numerical Methods. Review About the Previous Edition"Roughly speaking, Greens functions constitute infinitesimal matrix coefficients that one can use to solve linear nonhomogeneous differential equations in an approach alternative to that which depends on eigenvalue analysis. These techniques receive a mention in many books on differential equations. Duffy goes much further toward exposing the detailed workings of important examples (wave equation, heat equation, Hemholtz equation on various domains). … Many plots help the reader picture the behavior of these functions. … a valuable sourcebook."—CHOICE Magazine, March 2002"The focus of this book is predominantly on low-temperature plasmas, but it contains a wonderful depth of technical material and background for understanding in general much of the laboratory generated plasmas and various applications using laboratory generated plasmas…. Because it is so well written and illustrated, readers will be quickly able to understand and benefit from this book. –IEEE Electrical Insulation (Nov/Dec 2016) Review Quote About the Previous Edition "Roughly speaking, Greens functions constitute infinitesimal matrix coefficients that one can use to solve linear nonhomogeneous differential equations in an approach alternative to that which depends on eigenvalue analysis. These techniques receive a mention in many books on differential equations. Duffy goes much further toward exposing the detailed workings of important examples (wave equation, heat equation, Hemholtz equation on various domains). ... Many plots help the reader picture the behavior of these functions. ... a valuable sourcebook." -- CHOICE Magazine , March 2002 "The focus of this book is predominantly on low-temperature plasmas, but it contains a wonderful depth of technical material and background for understanding in general much of the laboratory generated plasmas and various applications using laboratory generated plasmas.... Because it is so well written and illustrated, readers will be quickly able to understand and benefit from this book. -IEEE Electrical Insulation (Nov/Dec 2016) llustrated, readers will be quickly able to understand and benefit from this book. -IEEE Electrical Insulation (Nov/Dec 2016) Details ISBN1482251027 Author Dean G. Duffy ISBN-10 1482251027 ISBN-13 9781482251029 Format Hardcover Edition 2nd Place of Publication Oakville Replaces 9781584881100 DEWEY 515.43 Short Title GREEN S FUNCTIONS W/APPLICATIO Language English Media Book Year 2015 Affiliation Former Instructor, US Naval Academy, Annapolis, Maryland, USA Illustrations 15 Tables, black and white; 176 Illustrations, black and white Publication Date 2015-03-10 UK Release Date 2015-03-10 Pages 686 Edition Description 2nd edition Series Advances in Applied Mathematics Alternative 9781138894464 Audience General Publisher Taylor & Francis Inc Imprint Chapman & Hall/CRC Country of Publication United States US Release Date 2015-03-10 We've got this At The Nile, if you're looking for it, we've got it. With fast shipping, low prices, friendly service and well over a million items - you're bound to find what you want, at a price you'll love! TheNile_Item_ID:139831438;

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