This high-level undergraduate text explains the mathematics behind basic circuit theory. Its self-contained treatment covers matrix algebra, which provides a general means of formulating the details of a linear system. In addition, the author presents the basic theory of n-dimensional spaces and demonstrates its application to linear systems.
A development of the mathematics of matrix algebra and determinants is followed by the application of matrix techniques to a general discussion of circuits. Subsequent topics include the properties of active and passive two-port devices, the basic theory of linear vector spaces, and the natural frequencies of a network. Appendixes cover the indefinite-transfer matrix, gyrators with complex gyration admittance, and network transformations. A wealth of equations and calculation problems appear throughout the text.

Lawrence P. Huelsman (1927?2004) was a Professor of Electrical Engineering at the University of Arizona from 1960 to 1989. An Associate Editor of several technical journals, including the IEEE Transactions on Education, he wrote or contributed to scores of technical books and papers.

Preface

1. Introduction

2. Matrices and Determinants

3. Circuit-Theory Applications of Matrices

4. TWo-Port Devices

5. Linear Vector Spaces

6. Circuit-Theory Applications of Linear Vector Spaces

Appendix A The Indefinite-Transfer Matrix

Appendix B Gyrators and Gyration Admittance

Appendix C Network Realization by Transformation Methods

Index