Green's Functions

This book is comprehensive in its classical mathematical physics presentation, providing the reader with detailed instructions for obtaining Green's functions from scratch. Green's functions is an instrument easily accessible to practitioners who are engaged in design and exploitation of machines and structures in modern engineering practice. To date, there are no books available on the market that are devoted to the Green's function formalism for equations covered in this volume. The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach. For the first time, Green's functions are discussed for a specific class of problems dealing with potential fields induced in thin-wall structures and therefore, the reader will have first-hand access to a novel issue. This Work is accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students.

Focuses on a specific class of boundary value problems for second order elliptic type partial differential equations with variable coefficients that has never been a topic of standard texts in the field Features compact representations of Green's functions ready for immediate computer implementation Accessible to researchers in applied mathematics, mechanics, and relevant disciplines such as engineering, as well as to upper level undergraduates and graduate students The reader, with an undergraduate background in applied mathematics, can become an active user of the Green's function approach Includes supplementary material: sn.pub/extras Includes supplementary material: sn.pub/extras

Inhalt
Preface.- Introduction.- 1. Green's Functions for ODE.- 2. Spherical Surface.- 3.Toroidal Surface.- 4. Compound Structures.- 5. Irregular Configurations.- A. Catalogue of Green's Functions.- References.