This book is designed to be a bridge between school and university mathematics dealing mainly with the non-calculus part of first-year undergraduate mathematics. It deals with algebra, geometry and combinatorics, plus it introduces proofs. The book also provides the foundation for a number of important developments, including the basis for probability theory, vector calculus, single-subject courses on linear algebra and introductions to abstract algebra ("Groups, rings and fields") as well as the tools needed for calculus methods.
Mark V. Lawson is a professor in the Department of Mathematics at Heriot-Watt University. Dr. Lawson has published over 60 papers and has given seminars on his research work both at home and abroad. His research interests focus on algebraic semigroup theory and its applications.