Undergraduate Analysis
The present volume is a text designed for a first course in analysis. Although it is logically self-contained, it presupposes the mathematical maturity acquired by students who will ordinarily have had two years of calculus. When used in this context, most of the first part can be omitted, or review...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1983, 1983
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| Edition: | 1st ed. 1983 |
| Series: | Undergraduate Texts in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 0 Sets and Mappings
- 1 Real Numbers
- 2 Limits and Continuous Functions
- 3 Differentiation
- 4 Elementary Functions
- 5 The Elementary Real Integral
- 6 Normed Vector Spaces
- 7 Limits
- 8 Compactness
- 9 Series
- 10 The Integral in One Variable
- 11 Approximation with Convolutions
- 12 Fourier Series
- 13 Improper Integrals
- 14 The Fourier Integral
- 15 Functions on n-Space
- 16 Derivatives in Vector Spaces
- 17 Inverse Mapping Theorem
- 18 Ordinary Differential Equations
- 19 Multiple Integrals
- 20 Differential Forms