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PMATH 351

Real Analysis

Undergraduate

Undated

Topics

  • Cardinality
  • Metric Spaces
  • Limits and Continuity
  • Separability and Completeness
  • Connectedness and Compactness
  • Applications
  • The Baire Category Theorem

Readings

  • Chapter 1. Cardinality — https://www.math.uwaterloo.ca/~snew/PMATH351/Chap1Cardinality.pdf
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  • Chapter 2. Metric Spaces — https://www.math.uwaterloo.ca/~snew/PMATH351/Chap2MetricSpaces.pdf
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  • Chapter 3. Limits and Continuity — https://www.math.uwaterloo.ca/~snew/PMATH351/Chap3Limits.pdf
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  • Chapter 4. Separability and Completeness — https://www.math.uwaterloo.ca/~snew/PMATH351/Chap4Completeness.pdf
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  • Chapter 5. Connectedness and Compactness — https://www.math.uwaterloo.ca/~snew/PMATH351/Chap5Compactness.pdf
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  • Chapter 6. Applications — https://www.math.uwaterloo.ca/~snew/PMATH351/Chap6Applications.pdf
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  • Chapter 7. The Baire Category Theorem — https://www.math.uwaterloo.ca/~snew/PMATH351/Chap7Baire.pdf
    unspecified
Sources