Absolute Value and Intervals

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Related lectures (29)

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Selected Topics in Mathematics

Covers selected topics in mathematics, including Taylor approximations and algebraic structures of Z and K[X].

Intervals: Real Numbers

Explores intervals in real numbers, including open and closed intervals, periodic decimals, and irrational numbers.

Absolute Value and Complex Numbers

Covers the absolute value function, complex numbers, Euler's formula, and trigonometry applications.

Additional Properties of Real Numbers

Explores the countability of subsets of real numbers and demonstrates that the set of real numbers is uncountable.

Normed Spaces

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

Separable L^2 Spaces

Covers the concept of separable L^2 spaces, demonstrating properties and providing examples.

Real Numbers: Order and Completeness

Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.

Advanced Analysis: Differential Equations Overview

Covers the fundamentals of differential equations, their properties, and methods for finding solutions through various examples.

Open and Closed Sets

Explains the concepts of open and closed sets in real numbers.

Cardinality of Sets: Countable and Uncountable

Explores cardinality, countable sets, and examples of countable and uncountable sets.