Hirst К.E. Calculus of One Variable

London: George Allen & Unwin Ltd, 1972. — 86 p. — (Problem Solvers). — ISBN 0045170045.This book provides a set of solved problems in the elementary methods of one-variable calculus. A full discussion of the analytical foundations of the calculus would clearly be out of place, and definitions arc stated without the terminology and symbolism of analysis. This is particularly true of the notion of limit introduced in Chapter 1, where the ideas have been formulated in language more geometrical than analytical.
Although important theorems have been quoted without proof, a proper statement of the conditions under which they are valid has been given wherever possible, consistent with clarity of expression. For readers not following a course in analysis the full significance of these conditions may not be apparent. They do on the whole have geometrical interpre-tations, however, and readers should explore this aspect to gain a better understanding of the relevance of the conditions to their respective theorems.