Overview

Mathematical analysis refers to the topics that are studied in calculus. It involves concepts and tools around the idea of infinity. (e.g. infinite series and limits)

Topics

The following topics represent the core of basic analysis.

• Limits - includes the notions of sequences and series.
• Differentiation - calculation of the tangent of a curve
• Integration - calculation of the area (volume) under a surface or curve.

Additional Topics

• Differential Equations
• Measure Theory : is the most robust and abstract form of integration. It extends the notions developed in Lebesgue integration to the most general situations.
• Vector Calculus :
• Manifolds
• Calculus of Variations