Exploratory examples for real analysis
Joanne E. Snow, Kirk E. Weller.
- Washington, D.C. Mathematical Association of America c2003.
- xv, 138 p. ill. 26 cm.
- Classroom resource materials .
Includes index.
Boundedness of sets -- Introducing the "Epsilon definition" of least upper bound -- Introduction to the formal definition of convergence -- Experience with the definition of the limit of a sequence -- Experience with the negation of the definition of convergence -- Algebraic combinations of sequences -- Conditions related to convergence -- Understanding the limit superior and the limit inferior -- Continuity and sequences -- Another definition of continuity -- Experience with the "E-d" definitions of continuity and limit -- Uniform convergence of a sequence of functions.