This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

Real analysis: course

From Mathematics Is A Science

Jump to: navigation, search

1 Description

This is a one-semester course in real analysis (aka advanced calculus). Certain facts about derivative, integral, the real number system, continuity and differentiability of functions of a single variable, integration of functions of a single variable, infinite series etc are proven. Goal: good familiarity with the foundations of Calculus, ability to work in the definition-theorem-proof format, some "mathematical maturity".

2 Prerequisites

3 Outline

4 Exercises

5 Notes

Text: A First Course in Real Analysis by Protter and Morrey (Chapters 2-5,9).

Alternative is a more geometric then analytical approach, see Vector calculus: course.

6 Further reading