Green's Functions with Applications
暫譯: 格林函數及其應用
Duffy, Dean G.
- 出版商: CRC
- 出版日期: 2018-08-14
- 售價: $3,510
- 貴賓價: 9.5 折 $3,335
- 語言: 英文
- 頁數: 688
- 裝訂: Quality Paper - also called trade paper
- ISBN: 113889446X
- ISBN-13: 9781138894464
-
相關分類:
工程數學 Engineering-mathematics
海外代購書籍(需單獨結帳)
商品描述
This book provides a systematic approach to the various methods available for deriving a Green's function. It begins by reviewing the historical development of the Green's function, the Fourier and Laplace transforms, the classical special functions of Bessel functions and Legendre polynomials, and the Dirac delta function. It then presents Green's 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, including worked examples, problem sets, and illustrations.
商品描述(中文翻譯)
本書提供了一種系統化的方法來推導各種可用的格林函數。首先回顧格林函數的歷史發展、傅立葉變換和拉普拉斯變換、貝塞爾函數和勒讓德多項式等經典特殊函數，以及狄拉克δ函數。接著，根據空間維度的數量和區域的幾何形狀，為每類微分方程（常微分方程、波動方程、熱方程和亥姆霍茲方程）呈現格林函數，包括實例、習題集和插圖。
作者簡介
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 Administration's 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.
作者簡介(中文翻譯)
Dean G. Duffy 於美國俄亥俄州克里夫蘭的凱斯科技學院獲得地球物理學學士學位，並於美國麻省理工學院獲得氣象學博士學位。他在美國空軍服役四年，擔任數值天氣預報官。服役結束後，他開始與美國國家航空暨太空總署的戈達德太空飛行中心（位於馬里蘭州格林貝爾特）合作，長達二十五年。Duffy 博士發表了大量的研究成果，並曾在美國海軍軍官學院（位於馬里蘭州安納波利斯）和美國陸軍軍官學院（位於紐約州西點）教授課程。
