The Theory of Functions of a Real Variable (Second Edition) / / 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 t...
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| Superior document: | Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 |
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| Place / Publishing House: | Toronto : : University of Toronto Press, , [2019] ©1951 |
| Year of Publication: | 2019 |
| Language: | English |
| Series: | Heritage
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| Physical Description: | 1 online resource (244 p.) |
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Jeffery, Ralph, author. aut http://id.loc.gov/vocabulary/relators/aut The Theory of Functions of a Real Variable (Second Edition) / Ralph Jeffery. Toronto : University of Toronto Press, [2019] ©1951 1 online resource (244 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Heritage 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) Functions of real variables. EDUCATION / General. bisacsh Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 9783110490947 https://doi.org/10.3138/9781487599966 https://www.degruyter.com/isbn/9781487599966 Cover https://www.degruyter.com/cover/covers/9781487599966.jpg |
| language |
English |
| format |
eBook |
| author |
Jeffery, Ralph, Jeffery, Ralph, |
| spellingShingle |
Jeffery, Ralph, Jeffery, Ralph, The Theory of Functions of a Real Variable (Second Edition) / Heritage 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 |
| author_facet |
Jeffery, Ralph, Jeffery, Ralph, |
| author_variant |
r j rj r j rj |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Jeffery, Ralph, |
| title |
The Theory of Functions of a Real Variable (Second Edition) / |
| title_full |
The Theory of Functions of a Real Variable (Second Edition) / Ralph Jeffery. |
| title_fullStr |
The Theory of Functions of a Real Variable (Second Edition) / Ralph Jeffery. |
| title_full_unstemmed |
The Theory of Functions of a Real Variable (Second Edition) / Ralph Jeffery. |
| title_auth |
The Theory of Functions of a Real Variable (Second Edition) / |
| title_alt |
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 |
| title_new |
The Theory of Functions of a Real Variable (Second Edition) / |
| title_sort |
the theory of functions of a real variable (second edition) / |
| series |
Heritage |
| series2 |
Heritage |
| publisher |
University of Toronto Press, |
| publishDate |
2019 |
| physical |
1 online resource (244 p.) |
| contents |
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 |
| isbn |
9781487599966 9783110490947 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA331 |
| callnumber-sort |
QA 3331.5 J43 41953EB |
| url |
https://doi.org/10.3138/9781487599966 https://www.degruyter.com/isbn/9781487599966 https://www.degruyter.com/cover/covers/9781487599966.jpg |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515.8 |
| dewey-sort |
3515.8 |
| dewey-raw |
515.8 |
| dewey-search |
515.8 |
| doi_str_mv |
10.3138/9781487599966 |
| oclc_num |
1091667097 |
| work_keys_str_mv |
AT jefferyralph thetheoryoffunctionsofarealvariablesecondedition AT jefferyralph theoryoffunctionsofarealvariablesecondedition |
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(DE-B1597)513691 (OCoLC)1091667097 |
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cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 |
| is_hierarchy_title |
The Theory of Functions of a Real Variable (Second Edition) / |
| container_title |
Title is part of eBook package: De Gruyter University of Toronto Press eBook-Package Archive 1933-1999 |
| _version_ |
1806143888981753856 |
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