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A first course in real analysis /
Summary: "This book was written to support a first course in real analysis, normally taken after a year of elementary calculus. Real analysis is, roughly speaking, the modern setting for Calculus, "real" alluding to the field of real numbers that underlies it all. At center stage are...
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Format: | Book |
Language: | English |
Series: | Undergraduate texts in mathematics
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Online Access: | Publisher description Table of contents only |
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Table of Contents:
- Content: Ch. 1. Axioms for the Field R of Real Numbers Ch. 2. First Properties of R Ch. 3. Sequences of Real Numbers, Convergence Ch. 4. Special Subsets of R Ch. 5. Continuity Ch. 6. Continuous Functions on an Interval Ch. 7. Limits of Functions Ch. 8. Derivatives Ch. 9. Riemann Integral Ch. 10. Infinite Series Ch. 11. Beyond the Riemann Integral.