Real Functions: Continuity and Limits

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Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.

Functions Composition: Continuity & Elements

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.

Limits of Multivariable Functions: Techniques and Theorems

Discusses limits of multivariable functions, focusing on definitions, examples, and techniques for calculating limits effectively.

Introduction to Mathematics for Engineers

Introduces the purpose of mastering mathematics and calculation tools for engineers, emphasizing the need to think methodically and rigorously.

Uniform Continuity: Definitions and Examples

Explores uniform continuity in functions, covering definitions, examples, and properties.

Real Functions: Definitions and Properties

Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.

Real Functions: Definitions and Limits

Explores real functions of several real variables, including definitions and limits, emphasizing the uniqueness of limits.

Real Analysis: Summary

Covers real numbers, sequences, series, functions, limits, derivatives, Taylor series, integrals, and more.

Advanced Analysis 2: Continuity and Limits

Delves into advanced analysis topics, emphasizing continuity, limits, and uniform continuity.

Function Composition and Limits

Covers function composition, limits, bijective functions, and the characterization of limits using sequences.