Green's Functions with Applications

3. Auflage 2027
ISBN: 978-1-041-24151-5
Verlag: Taylor & Francis Ltd

Buch, Englisch, 744 Seiten, Format (B × H): 156 mm x 234 mm

Reihe: Advances in Applied Mathematics

Since its first publication, Green's Functions with Applications has been the definitive resource for applied scientists and engineers seeking systematic methods for deriving Green's functions across a wide range of differential equations. This thoroughly revised third edition updates the content to reflect the current state of the art while maintaining the book's renowned clarity and comprehensive approach.

Key Features:

- Comprehensive coverage of Green's functions for ordinary differential, wave, heat, and Helmholtz equations across multiple spatial dimensions and geometric domains, with step-by-step derivation methods.

- Extensive worked examples and problem sets drawn from acoustics, applied mechanics, antenna theory, and fluid and plasma stability to help readers develop practical skills in finding and computing Green's functions.

- Dedicated chapter on numerical methods for computing Green's functions, complementing analytical techniques with practical computational approaches.

This book is designed for graduate students and researchers in engineering, applied sciences, and applied mathematics who have a solid foundation in complex variables and transform methods. With its systematic approach, abundant examples, comprehensive problem sets, and hundreds of references to the literature, the third edition serves both as an essential textbook for advanced coursework and as an indispensable reference for practitioners applying Green's functions to real-world problems.

Zielgruppe

Undergraduate Advanced

Autoren/Hrsg.

Duffy, Dean G.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle

Inhaltsverzeichnis

1. Historical Development  2. Background Material  3. Green’s Functions for Ordinary Differential Equations  4. Green’s Functions for the Wave Equation  5. Green’s Functions for the Heat Equation  6. Green’s Functions for the Helmholtz Equation  7. Numerical Methods

Über Autor(innen)

Dean G. Duffy received his bachelor of science in geophysics from Case Institute of Technology (Cleveland, Ohio) and his doctorate of science in meteorology from the Massachusetts Institute of Technology (Cambridge, Massachusetts).  He served in the United States Air Force from September 1975 to December 1979 as a numerical weather prediction officer. After his military service, he began a twenty-five year (1980 to 2005) association with NASA at the Goddard Space Flight Center (Greenbelt, Maryland) where he focused on numerical weather prediction, oceanic wave modeling and dynamical meteorology. He also wrote papers in the areas of Laplace transforms, antenna theory, railroad tracks, and heat conduction. In addition to his NASA duties
he taught engineering mathematics, differential equations and calculus at the United States Naval Academy (Annapolis, Maryland) and the United States Military Academy (West Point, New York). Drawing from his teaching experience, he has written several books on transform methods, engineering mathematics, Green’s functions and mixed boundary value problems.