The Theory of Functions of a Real Variable

Description

This textbook leads the reader by easy stageshroug t h the essential parts of the theory of sets and theory of measure to the properties of the Lebesgue integral. The first part of the book gives a general introduction to functions of a real variable, measure, and integration, while the second part treats the problem of inverting the derivative of continuous functions, leading to the Denjoy integrals, and studies the derivates and approximate derivates of functions of a real variable on arbitrary linear sets. The author considers the presentation of this second part as the main purpose of his book. H. L. JEFFERY, who holds degrees from Acadia University and Cornell University, was for many years Professor of Mathematics and Head of the Department of Mathematics at Queens University, Kingston. He is now Professor of Mathematics at Acadia University, Wolfville, Nova Scotia. He is the author of other important works in mathematics, Calculus and Trigonometric Series: A Survey, published by the University of Toronto Press