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

Real analysis: course

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Book


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".

Prerequisites

Outline

Exercises

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.

Further reading