Mathematical Foundations of Network Analysis by Paul Slepian
  

Synopsis

Mathematical Foundations of Network Analysis by Paul Slepian

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.

About the Author

Other Formats

Book Info

Format

Hardback
196 pages

Author

Paul Slepian
More books by Paul Slepian

Publisher

Springer-Verlag Berlin and Heidelberg GmbH & Co. K an imprint of Springer-Verlag Berlin and Heidelberg GmbH & Co. KG

Publication date

1st January 1968

ISBN

9783540043447


I have told all my friends, family & teachers to see for themselves just how great the site is. Without fail, they are hugely impressed.

Alexander Boxall – age 11

Lovereading4kids is great, we get books really early never late. We love to read and review, and think you would like it too. The excitement

Jasmine Harris-Hart, age 12

It’s a community united by a passion for books and promoting the best there is in children’s literature.

Sam Bateman and family

LoveReading4Kids is a modern and creative way of emphasising the value and importance of books in this digital age #booksforlife

Amrit Bunet – Teen

We love Lovereading as my 5 year old loves to read new books before anyone else has a chance, she says it makes reading exciting!

Tracey Chorley

I love all the books they recommend & put up for me to review. I also love the fact that they give new authors the chance to share their boo

Daisy Pennock – age 15

I love Lovereading4kids because I get an opportunity to put my opinion forward and to try new books

Elosie Clarkson – age 11

It is THE website to use for narrowing down your search for any book. Definitely knocks the socks off any other book review website.

Nickey and Tomasz Hawryszczuk
Lovereading

Lovereading 4 schools