Lectures related to Brownian Motion: Historical Background and Mathematical Construction

Stochastic Simulation: Uncertainty Quantification

Explores uncertainty quantification using Quasi Monte Carlo methods and discrepancy measures for integral approximation and volume estimation.

Mathematical Analysis: Functions and Composition

Covers the analysis of functions, composition, and mathematical induction.

Limits: Definition and Properties

Explores the definition and properties of limits, including uniqueness and the two gendarmes theorem.

Brownian Motion: Molecular Nature Revealed

Explores the history, mathematical models, and experimental techniques of Brownian Motion, revealing its molecular nature and significance in cell biology.

Cauchy Equations and Integral Decomposition

Covers the application of Cauchy equations and integral decomposition, addressing questions related to holomorphic functions and Jacobian matrices.

Dirichlet Series: Properties and Examples

Explores the properties and examples of Dirichlet series, highlighting their key characteristics and applications.