Quiz on Chapters 1-3: Solutions to TF questions

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Supremum

Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.

Real Analysis: Functions and Limits

Covers the basics of real analysis, including functions, limits, and max/min functions.

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.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Real Numbers: Definitions and Bounds

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

Properties of Real Numbers

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

Real Numbers: Definitions and Equivalence Classes

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

Introduction to Real Numbers and Their Properties

Introduces real numbers, their properties, and their significance in analysis.

Exemple: Infimum and Supremum

Illustrates the calculation of infimum and supremum for a set of elements.