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| Softcover ISBN: | 978-1-4704-7421-8 |
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| Softcover ISBN: | 978-1-4704-7421-8 |
| Product Code: | AMSTEXT/65 |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| Sale Price: | $57.85 |
| eBook ISBN: | 978-1-4704-7725-7 |
| Product Code: | AMSTEXT/65.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Sale Price: | $55.25 |
| Softcover ISBN: | 978-1-4704-7421-8 |
| eBook ISBN: | 978-1-4704-7725-7 |
| Product Code: | AMSTEXT/65.B |
| List Price: | $174.00 $131.50 |
| MAA Member Price: | $156.60 $118.35 |
| AMS Member Price: | $139.20 $105.20 |
| Sale Price: | $113.10 $85.48 |
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Book DetailsPure and Applied Undergraduate TextsVolume: 65; 2024; 264 ppMSC: Primary 26
An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome.
The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.
ReadershipUndergraduate students interested in a rigorous course in real analysis.
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Table of Contents
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Chapters
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The real numbers
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Sequences and series
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The topology of the real line
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Continuous functions
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Sequences and series of functions
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Differentiation
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The Riemann integral
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The Lebesgue integral
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Appendix A. Set theory and constructing $\mathbb {R}$
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Additional Material
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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
- Additional Material
- Requests
An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome.
The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.
Undergraduate students interested in a rigorous course in real analysis.
-
Chapters
-
The real numbers
-
Sequences and series
-
The topology of the real line
-
Continuous functions
-
Sequences and series of functions
-
Differentiation
-
The Riemann integral
-
The Lebesgue integral
-
Appendix A. Set theory and constructing $\mathbb {R}$
