Green's Functions (eBook)

Potential Fields on Surfaces

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

eBook Download: PDF

2017 | 1st ed. 2017
XVI, 198 Seiten
Springer International Publishing (Verlag)
978-3-319-57243-7 (ISBN)

Infos

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.

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.

Produkt-Details

• Erscheint lt. Verlag: 8.5.2017
• Reihe/Serie: Developments in Mathematics
• Reihe/Serie: Developments in Mathematics
• Zusatzinfo: XVI, 198 p. 32 illus., 21 illus. in color.
• Verlagsort: Cham
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• 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: 3-319-57243-1 / 3319572431
• ISBN-13: 978-3-319-57243-7 / 9783319572437