Download or read book Mathematical Models of Electrical Network Systems written by Andrzej Kłos and published by Springer. This book was released on 2017-06-28 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is for all those who are looking for a non-conventional mathematical model of electrical network systems. It presents a modern approach using linear algebra and derives various commonly unknown quantities and interrelations of network analysis. It also explores some applications of algebraic network model of and solves some examples of previously unsolved network problems in planning and operation of network systems. Complex mathematical aspects are illustrated and described in a way that is understandable for non-mathematicians. Discussing interesting concepts and practically useful methods of network analysis, it is a valuable resource for lecturers, students, engineers

Download or read book Mathematical Models in Electrical Circuits Theory and Applications written by C. A. Marinov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi ... si favait su comment en revenir, je n'y seTais point alle.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded n- sense', The series is divergent; therefore we may be Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One scrvice logic has rendered com puter science .. .'; 'One service category theory has rendcred mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'e"tre of this scries.

Download or read book Mathematical Theory of Electrical Networks written by Gurbachan Sin Dhat and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Aspects of Electrical Network Analysis written by Herbert S. Wilf and published by American Mathematical Soc.. This book was released on 1971 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Theory of Electrical Networks written by Gurbachan Sin Dhat and published by . This book was released on 1965 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Graphs and Networks written by Armen H. Zemanian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, Transfiniteness for Graphs, Electrical Networks, and Random Walks and Pristine Transfinite Graphs and Permissive Electrical Networks. 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.

Download or read book Applied Graph Theory written by Wai-Kai Chen and published by Elsevier. This book was released on 2014-11-28 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Graph Theory: Graphs and Electrical Networks, Second Revised Edition provides a concise discussion of the fundamentals of graph and its application to the electrical network theory. The book emphasizes the mathematical precision of the concepts and principles involved. The text first covers the basic theory of graph, and then proceeds to tackling in the next three chapters the various applications of graph to electrical network theory. These chapters also discuss the foundations of electrical network theory; directed-graph solutions of linear algebraic equations; and topological analysis of linear systems. Next, the book covers trees and their generation. Chapter 6 deals with the realizability of directed graphs with prescribed degrees, while Chapter 7 talks about state equations of networks. The book will be of great use to researchers of network topology, linear systems, and circuitries.

Download or read book Infinite Electrical Networks written by Armen H. Zemanian and published by Cambridge University Press. This book was released on 1991-11-29 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition.

Download or read book Inverse Problems For Electrical Networks written by Edward B Curtis and published by World Scientific. This book was released on 2000-03-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a very timely exposition of part of an important subject which goes under the general name of “inverse problems”. The analogous problem for continuous media has been very much studied, with a great deal of difficult mathematics involved, especially partial differential equations. Some of the researchers working on the inverse conductivity problem for continuous media (the problem of recovering the conductivity inside from measurements on the outside) have taken an interest in the authors' analysis of this similar problem for resistor networks.The authors' treatment of inverse problems for electrical networks is at a fairly elementary level. It is accessible to advanced undergraduates, and mathematics students at the graduate level. The topics are of interest to mathematicians working on inverse problems, and possibly to electrical engineers. A few techniques from other areas of mathematics have been brought together in the treatment. It is this amalgamation of such topics as graph theory, medial graphs and matrix algebra, as well as the analogy to inverse problems for partial differential equations, that makes the book both original and interesting.

Download or read book Linear Network Theory written by G. I. Atabekov and published by Elsevier. This book was released on 2014-05-09 with total page 645 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear Network Theory presents the problems of linear network analysis and synthesis. This book discusses the theory of linear electrical circuits, which is important for developing the scientific outlook of specialists in radio and electrical engineering. Organized into 13 chapters, this book begins with an overview of circuit theory that operates with electrical quantities, including voltage, charge, and current. This text then examines sinusoidal function as the predominant form of a periodic process in electrical circuits. Other chapters consider the reduction of a series–parallel network to single equivalent impedance, which is one of the main forms of converting circuit diagrams often used in practice. The final chapter deals with the Laplace transformation or operational calculus, which is a combination of methods of mathematical analysis. This book is intended to be suitable for students in the specialized branches of electrical and radio engineering, post-graduates, and engineers extending their theoretical knowledge.

Download or read book Mathematical Foundations of Network Analysis written by Paul Slepian and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we attempt to develop the fundamental results of resistive network analysis, based upon a sound mathematical structure. The axioms upon which our development is based are Ohm's Law, Kirchhoff's Voltage Law, and Kirchhoff's Current Law. In order to state these axioms precisely, and use them in the development of our network analysis, an elaborate mathematical structure is introduced, involving concepts of graph theory, linear algebra, and one dimensional algebraic topology. The graph theory and one dimensional algebraic topology used are developed from first principles; the reader needs no background in these subjects. However, we do assume that the reader has some familiarity with elementary linear algebra. It is now stylish to teach elementary linear algebra at the sophomore college level, and we feel that the require ment that the reader should be familiar with elementary linear algebra is no more demanding than the usual requirement in most electrical engineering texts that the reader should be familiar with calculus. In this book, however, no calculus is needed. Although no formal training in circuit theory is needed for an understanding of the book, such experience would certainly help the reader by presenting him with familiar examples relevant to the mathematical abstractions introduced. It is our intention in this book to exhibit the effect of the topological properties of the network upon the branch voltages and branch currents, the objects of interest in network analysis.

Download or read book Bridging Circuits and Fields written by Alexander I. Petroianu and published by CRC Press. This book was released on 2021-11-30 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Energy and power are fundamental concepts in electromagnetism and circuit theory, as well as in optics, signal processing, power engineering, electrical machines, and power electronics. However, in crossing the disciplinary borders, we encounter understanding difficulties due to (1) the many possible mathematical representations of the same physical objects, and (2) the many possible physical interpretations of the same mathematical entities. The monograph proposes a quantum and a relativistic approach to electromagnetic power theory that is based on recent advances in physics and mathematics. The book takes a fresh look at old debates related to the significance of the Poynting theorem and the interpretation of reactive power. Reformulated in the mathematical language of geometric algebra, the new expression of electromagnetic power reflects the laws of conservation of energy-momentum in fields and circuits. The monograph offers a mathematically consistent and a physically coherent interpretation of the power concept and of the mechanism of power transmission at the subatomic (mesoscopic) level. The monograph proves (paraphrasing Heaviside) that there is no finality in the development of a vibrant discipline: power theory.

Download or read book Fractional Order Electrical Circuit Theory written by Bo Zhang and published by Springer Nature. This book was released on 2021-08-16 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise and insightful view of the knowledge on fractional-order electrical circuits, which belongs to the subject of Electric Engineering and involves mathematics of fractional calculus. It offers an overview of fractional calculus and then describes and analyzes the basic theories and properties of fractional-order elements and fractional-order electrical circuit composed of fractional-order elements. Therein, the fundamental theorems, time-domain analysis, steady-state analysis, complex frequency domain analysis and state variable analysis of fractional-order electrical circuit are included. The fractional-order two-port networks and generalized fractional-order linear electrical circuits are also mentioned. Therefore, this book provides readers with enough background and understanding to go deeper into the topic of fractional-order electrical circuit, so that it is useful as a textbook for courses related to fractional-order elements, fractional-order electrical circuits, etc. This book is intended for students without an extensive mathematical background and is suitable for advanced undergraduate and graduate students, engineers and researchers who focus on the fractional-order elements, electrical circuits and systems.

Download or read book The Mathematical Theory of Nonblocking Switching Networks written by Frank Hwang and published by World Scientific. This book was released on 2004 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was the first to cover in depth the mathematical theory of nonblocking multistage interconnecting networks, which is applicable to both communication and computer networks. This comprehensively updated new edition not only introduces the classical theory of the fundamental point-to-point network but also has a renewed emphasis on the latest multicast and multirate networks. The book can serve as either a one- or two-semester textbook for graduate students of information science, (electronic) communications, and applied mathematics. In addition, as all the relevant literature is organized and evaluated under one structured framework, the volume is an essential reference for researchers in those areas.

Download or read book Net Theory And Its Applications Flows In Networks written by Wai-kai Chen and published by World Scientific. This book was released on 2003-05-22 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electrical, communication, transportation, computer, and neural networks are special kinds of nets. Designing these networks demands sophisticated mathematical models for their analysis. This book is the first to present a unified, comprehensive, and up-to-date treatment of net theory. It brings together elements of abstract graph theory and circuit analysis to network problems.

Download or read book The Mathematical Theory of Electricity and Magnetism written by James Jeans and published by . This book was released on 1920 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quantum Techniques In Stochastic Mechanics written by John C Baez and published by World Scientific. This book was released on 2018-02-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: We introduce the theory of chemical reaction networks and their relation to stochastic Petri nets — important ways of modeling population biology and many other fields. We explain how techniques from quantum mechanics can be used to study these models. This relies on a profound and still mysterious analogy between quantum theory and probability theory, which we explore in detail. We also give a tour of key results concerning chemical reaction networks and Petri nets.