| 書目名稱 | Mathematical Foundations of Network Analysis | | 編輯 | Paul Slepian | | 視頻video | http://file.papertrans.cn/627/626156/626156.mp4 | | 叢書名稱 | Springer Tracts in Natural Philosophy | | 圖書封面 |  | | 描述 | 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 experien | | 出版日期 | Book 1968 | | 關鍵詞 | Algebra; Analysis; Elektrisches Netzwerk; calculus; circuit; electrical engineering; graph theory; linear a | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-87424-6 | | isbn_softcover | 978-3-642-87426-0 | | isbn_ebook | 978-3-642-87424-6Series ISSN 0081-3877 | | issn_series | 0081-3877 | | copyright | Springer-Verlag Berlin · Heidelberg 1968 |
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