Real Numbers: Sets and Operations

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Related lectures (32)

Real Numbers: Axioms and Bounds Log in to Mediaspace to watch this video

Covers the organization of real numbers, axioms, and bounds, including infimum and supremum.

Properties of Real Numbers Log in to Mediaspace to watch this video

Covers countability and bijections between sets, demonstrating the uncountability of real numbers.

Properties of Real Numbers: Bounds, Density, Absolute Value Log in to Mediaspace to watch this video

Covers the properties of real numbers, including bounds, density, and absolute value.

Real Numbers: Definitions and Bounds Log in to Mediaspace to watch this video

Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.

Convergence and Limits in Real Numbers Log in to Mediaspace to watch this video

Explains convergence, limits, bounded sequences, and the Bolzano-Weierstrass theorem in real numbers.

Real Numbers: Definitions and Equivalence Classes Log in to Mediaspace to watch this video

Covers the existence of real numbers and equivalence classes of Cauchy sequences.

Untitled Log in to Mediaspace to watch this video

Real Sequences: Limits and Properties Log in to Mediaspace to watch this video

Explores real sequences, limits, convergence, divergence, and operations on limits.

Complex Numbers: Operations and Polar Form Log in to Mediaspace to watch this video

Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.

Digital Image Correlation: Practical Log in to Mediaspace to watch this video

Focuses on the practical application of Digital Image Correlation for civil engineers, covering measuring displacement fields and computing strain fields.

Analytical Geometry: Vectors and Operations Log in to Mediaspace to watch this video

Covers the fundamentals of analytical geometry, focusing on vectors and their operations.

Analytic Continuation of Zeta Function Log in to Mediaspace to watch this video

Explores the analytic continuation of the zeta function and its relation to holomorphic functions and natural numbers.

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