From Calculus to Chaos : An Introduction to Dynamics

What is calculus really for? It helps tell us how - and why - things change with time. This is the purpose of dynamics, which lies at the heart of much of applied mathematics, science and engineering. From calculus to chaos takes a fresh approach to the subject as a whole. This is a highly readable and well-illustrated introduction to dynamics which aims to inspire the interest and enthusiasm of students embarking on a course of mathematical study. The writing is inviting, illuminating, and informative, not heavy or pedantic. Acheson explains why the mathematics which students learn is useful by exploring the most central and interesting ideas of calculus and dynamics from Newton to the present.