2.1 Hyperreal line 

    2.1a Hyperreals 
    2.1b Fundamentals of nonstandard real analysis 
    2.1c Directed Saturation    
    2.1d Nonstandard characterization of closed and compact sets 

2.2 Sequences and functions 

    2.2a Limits 
    2.2b Continuous functions 
    2.2c Intermediate value theorem 
    2.2d Robinson's lemma and uniform limits 
    
2.3 Topics in nonstandard real analysis 

    2.3a Shadows and equivalences 
    2.3b Near-standard elements 
    2.3c Topology 
    
2.4 Two special applications 

    2.4a Euler factorization of the sine function 
    2.4b Jordan curve theorem 
    
Historical and other notes to Chapter 2