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Solution to Understanding Analysis Second Edition


Chapter 1 The Real Numbers

  • 1.1 Discussion: The Irrationality of $\sqrt 2$ (no exercises)
  • 1.2 Some Preliminaries
  • 1.3 The Axiom of Completeness
  • 1.4 Consequences of Completeness
  • 1.5 Cardinality
  • 1.6 Cantor’s Theorem
  • 1.7 Epilogue (no exercises)

Chapter 2 Sequences and Series

Chapter 3 Basic Topology of $\mathbf R$

  • 3.1 Discussion: The Cantor Set (no exercises)
  • 3.2 Open and Closed Sets
  • 3.3 Compact Sets
  • 3.4 Perfect Sets and Connected Sets
  • 3.5 Baire’s Theorem
  • 3.6 Epilogue (no exercises)

Chapter 4 Functional Limits and Continuity

Linearity

This website is supposed to help you study Linear Algebras. Please only read these solutions after thinking about the problems carefully. Do not just copy these solutions.

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