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University of Toronto Press
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The Theory of Functions of a Real Variable (Second Edition)
Language:
English
Published/Copyright:
1951
About this book
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.
Author / Editor information
Jeffery Ralph :
Ralph L. Jeffery (1889-1975) was the head of the Mathematics Department at Queen's University for 18 years until his retirement in 1960.
Reviews
"At times brings the reader close to the frontiers of knowledge in this field"
"Many interesting topics are treated in this book. Moreover, the presentation is very careful and readable."
"There is about this book a refreshing air of personality. A reader brought up on other accounts of this theory, even written from the same point of view, will find many points of novelty."
Topics
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Frontmatter
i -
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PREFACE
vii -
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CONTENTS
ix -
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INTRODUCTION
1 -
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I. SETS, SEQUENCES, AND FUNCTIONS
20 -
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II. METRIC PROPERTIES OF SETS
45 -
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III. THE LEBESGUE INTEGRAL
66 -
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IV. PROPERTIES OF THE LEBESGsUE INTEGRAL
81 -
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V. METRIC DENSITY AND FUNCTIONS OF BOUNDED VARIATION
110 -
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VI. THE INVERSION OF DERIVATIVES
140 -
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VII. DERIVED NUMBERS AND DERIVATIVES
165 -
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VIII. THE STIELTJES INTEGRAL
204 -
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BIBLIOGRAPHY
221 -
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INDEX OF SUBJECTS
225 -
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INDEX OF AUTHORS
231
Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 18, 2019
eBook ISBN:
9781487599966
Pages and Images/Illustrations in book
Main content:
244
This book is in the series
eBook ISBN:
9781487599966
Audience(s) for this book
College/higher education;Professional and scholarly;