Leseprobe
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From Alternating Current to the Fourier Transform
Sandro Ronca
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Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
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 A.C. NETWORKS
5 - RESONANCE
6 - ELECTRICAL POWER IN A.C. 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.
Kundenbewertungen
Fourier Transform, Reactive Power, differential equations, Feynman's trick, Finite differences, AC Power, Heaviside step function, Frequency spectrum, Harmonic distortion, Decibel, Transient response, Vector space, Alternating Current, Complex numbers, Bandwidth, Impedance, transients, Dirac's Delta, Euler formula, Euler's formula, Thevenin theorem, Power factor, Vector spaces, Fourier series, Fundamental theorem of calculus, euclidean norm, Euler, Euclidean vector basis, time-frequency uncertainty, Resonance