3279 results in Real and Complex Analysis
Preface
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- Varieties of Integration
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6 - The Lebesgue Integral
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2 - The Riemann Integral
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IV - Additional Topics
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27 - Why is Simpson's rule exact for cubics?
- from II - Integration
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18 - Integration by parts
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8 - The derivative of the arctangent
- from I - Limits and Differentiation
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I - Limits and Differentiation
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23 - Does shell volume equal disk volume?
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40 - Approximating π with Maclaurin series
- from III - Infinite Series
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26 - Can the midpoint rule be improved?
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41 - The hyperbolic functions I: Definitions
- from IV - Additional Topics
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44 - The conic sections revisited
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5 - The quotient rule
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47 - Basic trigonometric identities
- from V - Appendix: Some Precalculus Topics
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Dedication
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48 - The addition formulas for the sine and cosine
- from V - Appendix: Some Precalculus Topics
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6 - The chain rule
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37 - The harmonic series and the Euler-Mascheroni constant
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Preface
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