Books by Audrey (University of California Terras

This stimulating introduction to zeta (and related) functions of graphs develops the fruitful analogy between combinatorics and number theory - for example, the Riemann hypothesis for graphs - making connections with quantum chaos, random matrix theory, and computer science. Many well-chosen illustrations and exercises, both theoretical and computer-based, are included throughout.

This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative, which is accessible to advanced undergraduates and beginning graduate students in mathematics, engineering and the physical sciences. Abstract group theory becomes concrete via applications, pictures and computer experiments.