Problems and Solutions for Undergraduate Analysis
The present volume contains all the exercises and their solutions for Lang's second edition of Undergraduate Analysis. The wide variety of exercises, which range from computational to more conceptual and which are of vary ing difficulty, cover the following subjects and more: real numbers, lim...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1998, 1998
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| Edition: | 1st ed. 1998 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 0 Sets and Mappings
- I Real Numbers
- II Limits and Continuous Functions
- III Differentiation
- IV Elementary Functions
- V The Elementary Real Integral
- VI Normed Vector Spaces
- VII Limits
- VIII Compactness
- IX Series
- X The Integral in One Variable
- XI Approximation with Convolutions
- XII Fourier Series
- XIII Improper Integrals
- XIV The Fourier Integral
- XV Functions on n-Space
- XVI The Winding Number and Global Potential Functions
- XVII Derivatives in Vector Spaces
- XVIII Inverse Mapping Theorem
- XIX Ordinary Differential Equations
- XX Multiple Integrals
- XXI Differential Forms