Green's Functions

Potential Fields on Surfaces

Yuri A. Melnikov, Volodymyr N. Borodin (Autoren)

Buch | Hardcover

XVI, 198 Seiten

2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-57242-0 (ISBN)

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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.

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.

Erscheinungsdatum	31.05.2017
Reihe/Serie	Developments in Mathematics
Zusatzinfo	XVI, 198 p. 32 illus., 21 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	491 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Mechanik
Schlagworte	compound structure • fields on surfaces • Green's function for ODE • Green's Functions • irregular regions • Ordinary differential equations • Partial differential equations • spherical surface • toroidal cap • toroidal surface • two-point posed problem
ISBN-10	3-319-57242-3 / 3319572423
ISBN-13	978-3-319-57242-0 / 9783319572420
Zustand	Neuware