We established in the previous chapter on Fourier analysis that an arbitrary function could be described in terms of simple sine and cosine functions. The mathematics of the sinusoid was developed ...

A new proof demonstrates the power of arithmetic dynamics, an emerging discipline that combines insights from number theory and dynamical systems. Joseph Silverman remembers when he began connecting ...

Carefully sequenced, exam-style questions and complete worked solutions help students develop confidence with both the algebraic and geometric aspects of complex numbers. The worksheet is ideal for ...