| Hardcover ISBN: | 978-0-88385-344-3 |
| Product Code: | DOL/38 |
| List Price: | $65.00 |
| MAA Member Price: | $48.75 |
| AMS Member Price: | $48.75 |
| eBook ISBN: | 978-0-88385-916-2 |
| Product Code: | DOL/38.E |
| List Price: | $60.00 |
| MAA Member Price: | $45.00 |
| AMS Member Price: | $45.00 |
| Hardcover ISBN: | 978-0-88385-344-3 |
| eBook: ISBN: | 978-0-88385-916-2 |
| Product Code: | DOL/38.B |
| List Price: | $125.00 $95.00 |
| MAA Member Price: | $93.75 $71.25 |
| AMS Member Price: | $93.75 $71.25 |
| Hardcover ISBN: | 978-0-88385-344-3 |
| Product Code: | DOL/38 |
| List Price: | $65.00 |
| MAA Member Price: | $48.75 |
| AMS Member Price: | $48.75 |
| eBook ISBN: | 978-0-88385-916-2 |
| Product Code: | DOL/38.E |
| List Price: | $60.00 |
| MAA Member Price: | $45.00 |
| AMS Member Price: | $45.00 |
| Hardcover ISBN: | 978-0-88385-344-3 |
| eBook ISBN: | 978-0-88385-916-2 |
| Product Code: | DOL/38.B |
| List Price: | $125.00 $95.00 |
| MAA Member Price: | $93.75 $71.25 |
| AMS Member Price: | $93.75 $71.25 |
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Book DetailsDolciani Mathematical ExpositionsVolume: 38; 2009; 147 ppMSC: Primary 26
The purpose of A Guide to Real Variables is to provide an aid and conceptual support for the student studying for the qualifying exam in real variables. Beginning with the foundations of the subject, the text moves rapidly but thoroughly through basic topics like completeness, convergence, sequences, series, compactness, topology and the like. All the basic examples like the Cantor set, the Weierstrass nowhere differentiable function, the Weierstrass approximation theory, the Baire category theorem, and the Ascoli-Arzela theorem are treated.The book contains over 100 examples, and most of the basic proofs. It illustrates both the theory and the practice of this sophisticated subject. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful resource too.
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Table of Contents
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Chapters
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Chapter 1. Basics
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Chapter 2. Sequences
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Chapter 3. Series
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Chapter 4. The Topology of the Real Line
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Chapter 5. Limits and the Continuity of Functions
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Chapter 6. The Derivative
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Chapter 7. The Integral
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Chapter 8. Sequences and Series of Functions
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Chapter 9. Advanced Topics
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Reviews
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Virtually every graduate program in the US, if not the world, requires its students to take a qualifying exam in real analysis....Mathematicians who are looking for a quick review of the subect of key facts will find this book a useful resource. Recommended.
J. T. Zerger, Choice
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RequestsReview Copy – for publishers of book reviewsAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Reviews
- Requests
The purpose of A Guide to Real Variables is to provide an aid and conceptual support for the student studying for the qualifying exam in real variables. Beginning with the foundations of the subject, the text moves rapidly but thoroughly through basic topics like completeness, convergence, sequences, series, compactness, topology and the like. All the basic examples like the Cantor set, the Weierstrass nowhere differentiable function, the Weierstrass approximation theory, the Baire category theorem, and the Ascoli-Arzela theorem are treated.The book contains over 100 examples, and most of the basic proofs. It illustrates both the theory and the practice of this sophisticated subject. Graduate students studying for the qualifying exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful resource too.
-
Chapters
-
Chapter 1. Basics
-
Chapter 2. Sequences
-
Chapter 3. Series
-
Chapter 4. The Topology of the Real Line
-
Chapter 5. Limits and the Continuity of Functions
-
Chapter 6. The Derivative
-
Chapter 7. The Integral
-
Chapter 8. Sequences and Series of Functions
-
Chapter 9. Advanced Topics
-
Virtually every graduate program in the US, if not the world, requires its students to take a qualifying exam in real analysis....Mathematicians who are looking for a quick review of the subect of key facts will find this book a useful resource. Recommended.
J. T. Zerger, Choice
