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Analysis I >> Content Detail



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All readings are from Amazon logo Rudin, W. Principles of Mathematical Analysis. 3rd ed. McGraw-Hill Science/Engineering/Math, New York, NY: McGraw-Hill, 1976. ISBN: 007054235X.


WEEK #TOPICSREADINGS
1Sets and Fields, The Real Numberspp. 1-17.
2Countability, Metric Spacespp. 24-35.
3Closed Sets, Compact Spacespp. 34-38.
4Compact Subsets of Euclidean Spacepp. 38-40.
5Completeness, Sequences and Seriespp. 42-43, 47-69, and 71-75.
6Continuitypp. 83-86.
7Continuity and Compactnesspp. 85-93.
8Differentiability, Mean Value Theorempp. 103-110.
9Taylor Series, Riemann-Stieltjes Integralpp. 120-127.
10Integrability, Fundamental Theorem of Calculuspp. 128-136.
11Sequences of Functionspp. 143-151.
12Uniform Convergencepp. 150-154.
13Uniform Convergence, Equicontinuitypp. 150-161.
14Power Series, Fundamental Theorem of Algebrapp. 83-86 and 180-185.

 








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