Our goal in this set of lecture notes is to provide students with a strong foundation in mathematical
analysis. Such a foundation is crucial for future study of deeper topics of analysis.
About
Description
Madeline's Books
Audio
Authors:
Beatriz Lafferriere ,Gerardo Lafferriere Nguyen, Mau Nam
Genre:
Mathematics
Language:
English
Pages:
166
Price:
FREE
The lecture notes contain topics of real analysis usually covered in a 10-week course: the
completeness axiom, sequences and convergence, continuity, and differentiation. The lecture notes
also contain many well-selected exercises of various levels. Although these topics are written in a
more abstract way compared with those available in some textbooks, teachers can choose to simplify
them depending on the background of the students. For instance, rather than introducing the topology
of the real line to students, related topological concepts can be replaced by more familiar concepts
such as open and closed intervals. Some other topics such as lower and upper semicontinuity,
differentiation of convex functions, and generalized differentiation of non-differentiable convex
functions can be used as optional mathematical projects. In this way, the lecture notes are suitable
for teaching students of different backgrounds.