Projects & Research A Radical Approach to Real Analysis Macalester College


Chapter 1: Crises in Mathematics: Fourier's Series

Chapter 2: Infinite Summations

Chapter 3: Differentiability and Continuity

Chapter 4: The Convergence of Infinite Series

Chapter 5: Understanding Infinite Series

Chapter 6: Return to Fourier Series

Appendix A: Explorations of the Infinite



Resources for A Radical Approach to Real Analysis (2nd edition)

These resources are organized by chapter. They include

  • Additional material referenced in the text in shadowboxes.
  • Maple, Mathematica, and Octave/Matlab commands for the exercises.
  • Hints and selected solutions to exercises.
  • Additional exercises and projects.
  • Click here for corrections to A Radical Approach to Lebesgue's Theory of Integration


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