Introduction. Numbers. Sets. Sequences and series. Geometry. Algebra. Functions and calculus. Vectors and matrices. Abstract algebra. Complex numbers. Combinatorics. Spaces and topology. Logic and proof. Number theory. Glossary. Index.
Paul Glendinning is Professor of Applied Mathematics at the University of Manchester. He was a student and a lecturer at Cambridge before moving to a chair at Queen Mary, University of London and then Manchester (UMIST). He was founding Head of School for Mathematics at the combined University of Manchester and has published over fifty academic articles and an undergraduate textbook on chaos theory.