Basic concepts in Banach spaces
Hahn-Banach and Banach open mapping theorems
Weak topologies and Banach spaces
Structure of Banach spaces
Finite-dimensional spaces
C¹-smoothness in separable spaces
Dentability and differentiability
Basics in nonlinear geometric analysis
Weakly compactly generated spaces
Topics in weak topologies on Banach spaces
Compact operators on Banach spaces
Appendix: Basics in topology
Nets and filters in topological spaces
The order topology on the ordinals
Continuity of set-valued mappings
Nets and filters in uniform spaces
Continued fractions and the representation of the irrational numbers.