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Power system oscillations without a big disturbance occur spontaneously in a power system and if they are not damped out properly may lead to grid failure. In this book we examine the methodology to study this phenomenon from several angles.
This textbook constitutes an introduction to commutative algebra and number theory. Subjects covered include: groups, rings, fields and integers; UFD, PID, and Euclidean domains; Gauss Lemma and Einstein criterion; quadratic reciprocity law; Dekind domains; and quadratic fields.
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