Inequalities on Real Numbers

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Intervals: Real Numbers

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

Properties of Real Numbers

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

Interpolation Spaces

Explores interpolation spaces in Banach spaces, emphasizing real continuous interpolation spaces and the K-method.

Open and Closed Sets

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

Interior Points and Closure in Real Analysis

Explores interior points, closures, and set properties in real analysis.

Open Sets and Interior Points

Explores open sets and interior points in real numbers, with examples and criteria for identification.

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.

Complex Numbers: Operations and Polar Form

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

Absolute Value and Intervals

Introduces absolute value, intervals, triangle inequality, and complete numbers in the complex plane.

Real Analysis: Basics and Sequences

Introduces real analysis basics, including functions, sequences, limits, and set properties in R.