Infinite Electrical Networks
Infinite Electrical Networks

Author: Armen H. Zemanian

Publisher: Cambridge University Press

Published: 1991-11-29

Total Pages: 328

ISBN-13: 0521401534

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This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition.

Potential Theory on Infinite Networks
Potential Theory on Infinite Networks

Author: Paolo M. Soardi

Publisher: Springer

Published: 2006-11-15

Total Pages: 199

ISBN-13: 3540487980

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The aim of the book is to give a unified approach to new developments in discrete potential theory and infinite network theory. The author confines himself to the finite energy case, but this does not result in loss of complexity. On the contrary, the functional analytic machinery may be used in analogy with potential theory on Riemann manifolds. The book is intended for researchers with interdisciplinary interests in one of the following fields: Markov chains, combinatorial graph theory, network theory, Dirichlet spaces, potential theory, abstract harmonic analysis, theory of boundaries.

Electrical Networks
Electrical Networks

Author: A. Henderson

Publisher: Elsevier

Published: 2014-05-12

Total Pages: 417

ISBN-13: 148328011X

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Electrical Networks focuses on the principles, methodologies, practices, and approaches involved in electrical networks, including transformers, polarity, Zobel networks, and Fourier series. The book first elaborates on d.c. currents and voltages and varying currents and voltages. Discussions focus on voltage and current sources, energy and power, voltage and current division, star-delta transformation, direction and polarity, periodical quantities, capacitors and inductors, and energy stored in capacitors and inductors. The manuscript then takes a look at some properties of networks and magnetic coupled inductors. Topics include equivalent circuits for magnetic coupled coils, voltage and the current transformer, mutual induction, impedance transformation, current direction, voltage polarity and the mode of winding, polar diagrams, resonance, and Zobel networks. The publication examines networks containing switches, complex frequency, and Fourier series. Considerations include frequency spectrum, finite Fourier series, capacitor discharges over a resistor, natural oscillations, and discontinuity. The monograph is a valuable source of information for electricians and researchers interested in electrical networks.

Transfiniteness
Transfiniteness

Author: Armen H. Zemanian

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 252

ISBN-13: 1461207673

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"What good is a newborn baby?" Michael Faraday's reputed response when asked, "What good is magnetic induction?" But, it must be admitted that a newborn baby may die in infancy. What about this one- the idea of transfiniteness for graphs, electrical networks, and random walks? At least its bloodline is robust. Those subjects, along with Cantor's transfinite numbers, comprise its ancestry. There seems to be general agreement that the theory of graphs was born when Leonhard Euler published his solution to the "Konigsberg bridge prob lem" in 1736 [8]. Similarly, the year of birth for electrical network theory might well be taken to be 184 7, when Gustav Kirchhoff published his volt age and current laws [ 14]. Ever since those dates until just a few years ago, all infinite undirected graphs and networks had an inviolate property: Two branches either were connected through a finite path or were not connected at all. The idea of two branches being connected only through transfinite paths, that is, only through paths having infinitely many branches was never invoked, or so it appears from a perusal of various surveys of infinite graphs [17], [20], [29], [32]. Our objective herein is to explore this idea and some of its ramifications. It should be noted however that directed graphs having transfinite paths have appeared in set theory [6, Section 4.

Radiative Heat Transfer
Radiative Heat Transfer

Author: Michael F. Modest

Publisher: Academic Press

Published: 2013-02-20

Total Pages: 905

ISBN-13: 0123869900

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The third edition of Radiative Heat Transfer describes the basic physics of radiation heat transfer. The book provides models, methodologies, and calculations essential in solving research problems in a variety of industries, including solar and nuclear energy, nanotechnology, biomedical, and environmental. Every chapter of Radiative Heat Transfer offers uncluttered nomenclature, numerous worked examples, and a large number of problems—many based on real world situations—making it ideal for classroom use as well as for self-study. The book's 24 chapters cover the four major areas in the field: surface properties; surface transport; properties of participating media; and transfer through participating media. Within each chapter, all analytical methods are developed in substantial detail, and a number of examples show how the developed relations may be applied to practical problems. Extensive solution manual for adopting instructors Most complete text in the field of radiative heat transfer Many worked examples and end-of-chapter problems Large number of computer codes (in Fortran and C++), ranging from basic problem solving aids to sophisticated research tools Covers experimental methods