The Theory of Functions of a Real Variable (Second Edition) / / Ralph Jeffery.

• Superior document: Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999
• VerfasserIn: Jeffery, Ralph,
• Place / Publishing House: Toronto : : University of Toronto Press, , [2019]; ©1951
• Year of Publication: 2019
• Language: English
• Series: Heritage
• Physical Description: 1 online resource (244 p.)
• Other title: Frontmatter --; PREFACE --; CONTENTS --; INTRODUCTION --; I. SETS, SEQUENCES, AND FUNCTIONS --; II. METRIC PROPERTIES OF SETS --; III. THE LEBESGUE INTEGRAL --; IV. PROPERTIES OF THE LEBESGsUE INTEGRAL --; V. METRIC DENSITY AND FUNCTIONS OF BOUNDED VARIATION --; VI. THE INVERSION OF DERIVATIVES --; VII. DERIVED NUMBERS AND DERIVATIVES --; VIII. THE STIELTJES INTEGRAL --; BIBLIOGRAPHY --; INDEX OF SUBJECTS --; INDEX OF AUTHORS
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781487599966; 9783110490947
• DOI: 10.3138/9781487599966
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Ralph Jeffery.

This textbook leads the reader by easy stages through 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.