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 ...
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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.
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Add this copy of Mathematical Foundations of Network Analysis to cart. $5.97, very good condition, Sold by ThriftBooks-Dallas rated 4.0 out of 5 stars, ships from Dallas, TX, UNITED STATES, published by Springer-Verlag.
Add this copy of Mathematical Foundations of Network Analysis. Springer to cart. $7.83, very good condition, Sold by Zubal Books rated 4.0 out of 5 stars, ships from Cleveland, OH, UNITED STATES, published 1968 by Springer.
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*Price HAS BEEN REDUCED by 10% until Monday, Oct. 13 (weekend SALE item)* 195 pp., Hardcover, spine faded else very good. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
Add this copy of Mathematical Foundations of Network Analysis to cart. $21.01, good condition, Sold by BookDepart rated 5.0 out of 5 stars, ships from Shepherdstown, WV, UNITED STATES, published 1968 by Springer-Verlag.
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UsedGood. Hardcover; Springer Tracts in Natural Philosophy, Volume 16; surplus librar y copy with the usual stampings and reference number affixed to the spine; fading, light soiling, and shelf wear to exterior; bumps to the corners and the lower edge of spine; otherwise in good condition with clean text and t ight binding.
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