Yuri A. Melnikov, Volodymyr N. Borodin

Green's Functions (eBook, PDF)

Potential Fields on Surfaces

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 198
• Erscheinungstermin: 8. Mai 2017
• Englisch
• ISBN-13: 9783319572437
• Artikelnr.: 53063535

Autorenporträt

Yuri A. Melnikov, Middle Tennessee State University, Murfreesboro, Tennessee, USA; Max Y. Melnikov, Cumberland University, Lebanon, Tennessee, USA.

Inhaltsangabe

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.

Rezensionen

"[...] the book is a useful source for everyone who is studying or working in fields of science, finance, or engineering that involve practical solutions of partial differential equations."
L'Enseignement Mathématique 2/2012

"The monograph is a valuable source to any researcher or postgraduate student working in applied sciences or engineering that concern practical solutions of partial or ordinary differential equations."
Marius Ghergu, Zentralblatt für Mathematik