Green's Functions With Applications

Green's Functions With Applications Synopsis

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.