Introduction to Mathematical Analysis 112

Notes

1. Completeness and Archimedean Property : 10/3
   

2. Limit Supremum and Limit Infimum : 10/24
   

3. Introduction to Topology : 11/21
   

4. Contraction Mapping and Its Application : 2/27
   

References

• [MH] J. Marsden & M. Hoffman, Elementary Classical Analysis
• [R] W. Rudin, Principles of Mathematical Analysis
• [W] W. Wade, Introduction to Analysis
• [DD] K. Davidson & A. Donsig, Real Analysis With Real Applications
• [F] G. Folland, Advanced Calculus
• [CJ] R. Courant & F. John, Introduction to Calculus and Analysis
• [SS] E. Stein & R. Shakarchi, Fourier Analysis: An Introduction
• [L] J. Lee, Introduction to Topological Manifolds