Covers Jordan-measurable sets, Riemann-integrability, and function continuity on compact sets.
Introduces the course on measure and integration, focusing on developing a new theory to overcome the limitations of the Riemann integral.
Explores the countable additivity of measurable sets and the properties of sigma algebra, highlighting the significance of understanding measurable functions in analysis.
Explores martingale inequalities, including Chebyshev's and Azuma's, with practical examples and applications.
Explores the theory of lattices, their properties, and applications in different mathematical contexts, emphasizing local-global principles.
