Analysis 2

Chapters

  1. Structures on Spaces
  2. Compactness
  3. Continuous Functions
  4. Spaces of Functions
  5. Differentiability
  6. Tangent Cone and Differentiability
  7. Vector Fields, Forms, Poincaré Lemma
  8. Inverse Function Theorem
  9. Implicit Function Theorem
  10. Constrained Optimization, Manifolds
  11. Peano-Jordan Content, Darboux-Riemann Integral
  12. Lebesgue Measure
  13. Lebesgue Integral
  14. Limiting Theorems for Riemann & Lebesgue Integrals
Matthijs Muis
Matthijs Muis
Double BSc student in Mathematics and Computer Science