E-Book, Englisch, 202 Seiten, eBook
Zemanian Graphs and Networks
2004
ISBN: 978-0-8176-8178-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
Transfinite and Nonstandard
E-Book, Englisch, 202 Seiten, eBook
ISBN: 978-0-8176-8178-4
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark
This self-contained book examines results on transfinite graphs and networks achieved through continued research effort over the past several years. These new results, covering the mathematical theory of electrical circuits, are different from those presented in two previously published books by the author, and . Specific topics covered include connectedness ideas, distance ideas, and nontransitivity of connectedness.
The book will appeal to a diverse readership, including graduate students, electrical engineers, mathematicians, and physicists working on infinite electrical networks. Moreover, the growing and presently substantial number of mathematicians working in nonstandard analysis may well be attracted by the novel application of the analysis employed in the work.
Zielgruppe
Research
Autoren/Hrsg.
Weitere Infos & Material
Preface Some Preliminaries Transfinite Graphs Connectedness, Trees, and Hypergraphs Ordinal Distances in Transfinite Graphs Walk-Based Transfinite Graphs and Networks Hyperreal Currents and Voltages in Transfinite Networks Hyperreal Transients in Transfinite RLC Networks Nonstandard Graphs and Networks Appendix A: Some Elements of Nonstandard Analysis Appendix B: The Fibonacci Numbers Appendix C: A Laplace Transform for an Artificial RC Cable References Index
