Lectures related to Twisted Partition Function: Instanton Pre-factor

Covers examples of integration by substitution and rational functions.

Covers the Green-Riemann formulas and their applications in evaluating integrals and solving differential equations.

Covers various examples of integrals, emphasizing trigonometric substitutions and techniques.

Covers improper integrals with singularities and infinite intervals.

Covers integration by parts, including practical applications and mnemonic aids.

Explores integration by substitution technique with examples and verification.

Explores functional determinants and the Gelfand-Yaglom theorem through detailed mathematical calculations and asymptotic behavior analysis.

Focuses on identifying the correct integral within a given domain and understanding dependencies between variables.