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Mathematical logic
Related lectures (21)
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Lebesgue Integration: Cantor Set
Explores the construction of the Lebesgue function on the Cantor set and its unique properties.
Sets and Functions
Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.
Real Numbers: Sets and Operations
Covers the fundamental concepts related to real numbers, including sets, notations, and operations.
Linear Algebra: Sets and Operations
Introduces fundamental concepts of linear algebra, focusing on sets and operations.
Operations on Sets: Parts, Intersection, and Difference
Explores operations on sets, Cartesian products, and functions' properties.
Nonlinear Dynamics: Chaos and Complex Systems
Explores countable and uncountable sets, Cantor set, Mandelbrot set, and Box dimension in nonlinear dynamics and complex systems.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Introduction to Analysis: Understanding Real Numbers and Proofs
Covers the basics of analysis, including real numbers, proofs, sets, and operations.
Introduction to Category Theory: Examples
Introduces the theory of categories through examples and discusses the product of categories.
Mathematics: Sets and Functions
Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.