Concept
Completeness of the real numbers
Related lectures (66)
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Properties of Real Numbers: Bounds, Density, Absolute Value
Covers the properties of real numbers, including bounds, density, and absolute value.
Crystallography: Describing Periodic Structures
Covers crystallography, lattice structures, vectors, and diffraction patterns.
Sobolev Spaces and Unitary Groups
Explores Sobolev spaces, unitary groups, Laplacian properties, and translation groups in L^2.
Real Analysis Basics
Covers the basics of real analysis, including limits, sequences, and continuous functions.
Universal Covering: Basics
Covers the concept of universal covering and its properties, including examples and monodromy action.
Real Analysis: Functions and Limits
Covers the basics of real analysis, including functions, limits, and max/min functions.
Introduction to Euclidean Elements
Introduces Euclidean elements, explores infinity uniqueness, parallel lines, and different geometries like Euclidean, hyperbolic, and spherical.
Analysis Reminder: Open Sets and Denseness
Reviews open sets, denseness, real numbers, convergence, curves, continuity, and derivatives in analysis.
Introduction to Real Numbers
Introduces the properties and structure of real numbers, emphasizing completeness and the Archimedean property.