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

# Discrete calculus

Discrete Calculus by Peter Saveliev

Some of this material is now appearing as a part of a general purpose calculus book I am working on: Calculus Illustrated. The program is described here: From the discrete to the continuous.

Chapter 0: Freshman's introduction to discrete calculus

1. Treat calculus discretely!
2. Calculus I: functions of single variable
3. Calculus II: parametric curves and ODEs
4. Calculus III: functions of several variables and PDEs

Chapter 1: Calculus in dimension $1$

Chapter 2: Chains

Chapter 3: Calculus on chain complexes

Chapter 4: Geometry and calculus