General Topology: 27 (Graduate Texts in Mathematics, 27) - Hardcover

John-l-kelley

Hardcover

ISBN 10: 0387901256 ISBN 13: 9780387901251

Publisher: Springer, 1975

Synopsis

This book demonstrates the usefulness of the switching function in analyzing powers electronic circuits in the steady state. A procedure is suggested for the effective application of this effective application of this method for the analysis of all types of power electronic circuits. The Kirchoff's Laws and the Superposition theorem are applied by introducing the appropriate switching functions in order to derive Unified Expressions of voltage and current in switched circuits valid at all times. The exact expressions of the current in each semiconductor device in the circuit enables the circuit designer to collect all the relevant data to set the ratings of the device such as rms, average and peak values of voltage and current. The order of the voltage and current harmonics at any point in the circuit are derived with simple arithmetic. Compact expressions are derived for Sinusoidal PWM signals based on the switching function. The order, magnitude and phase of each component are derived directly from the expression with simple arithmetic. The educator has a simple way to present to his students the mechanism of operation of complex switched circuits where all the statements regarding their operation are actually presented in the model of the circuit.

About this title

About the Author:

JOHN L. KELLEY, was the national teacher for the Continental Classroom modern algebra course and Professor of Mathematics and Chairman of the Department of Mathematics at the University of California at Berkeley. Before joining the Berkeley faculty in 1947, he taught at the Universities of Notre Dame and Chicago. He served as visiting associate professor at Tulane University and the University of Kansas and as Fulbright Research Professor at Cambridge University. Dr. Kelley was a Fellow at the Institute for Advanced Study, Princeton, N. J., in 1945-46 and a National Science Foundation Post Doctoral Fellow in 1953-54. His other publications include Introduction to Modern Algebra (1960) and Exterior Ballistics (with Edward James McShane and F. V. Reno, 1953) as well as numerous research papers dealing with general topology and functional analysis. Dr. Kelley, was a member of the American Mathematical Society, the Committee on the Undergraduate Program of the Mathematical Association of America, and the Panel on Teacher Training of the School Mathematics Study Group.

About this edition

• Publisher: Springer
• Publication date: 1975
• ISBN 10: 0387901256
• ISBN 13: 9780387901251
• Binding: Hardcover
• Edition number: 1
• Number of pages: 316