From Alternating Current to the Fourier Transform

This book outlines a path that in addition to providing the necessary foundation for dealing with the study of AC systems allows an overview and an introduction to some of the powerful mathematical ideas and methods fundamental to many areas of current science and technology. Besides a theoretical review for the practitioner it can be profitably used as a bridge in the transition from high-school mathematics to specialized university courses. This is why the reader is accompanied on the journey by mathematical interludes in which he/she will find useful reminders and insights. It also constitutes a cultural proposal dedicated to all those who like I. Newton holding between two fingers the grain of their knowledge always see in the background the ocean of the unknown.- 1 - SINUSOIDAL ELECTRICAL QUANTITIES- 2 - SINUSOIDS PHASORS AND COMPLEX NUMBERS- 3 - IMPEDANCE AND REACTANCE- 4 - ADMITTANCE AND AC NETWORKS- 5 - RESONANCE- 6 - ELECTRICAL POWER IN AC SYSTEMS- 7 - TRANSIENTS AND OSCILLATIONS- 8 - THE FOURIER SERIES- 9 - VECTOR AND HILBERT SPACES-10 - THE FOURIER TRANSFORM - SANDRO RONCA - After studying Physics at the University of Padua he dedicated himself to teaching Electrical Technologies and Computer Science in Upper Secondary Education Technical Schools deepening the didactic aspects. He has studied computer networks in depth and designed at the request of Industrial Associations courses for System Analysts and IT Security Managers.