Real Functions: Definitions and Properties

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Related lectures (28)

Page 2 of 3

Introduces bijective functions, which are both injective and surjective, emphasizing one-to-one correspondence between domain and codomain.

Definitions and Notations

Covers the definitions and notations related to functions.

Functions: properties and convergence criteria

Explores convergence criteria, function properties, and unique element association.

Functions: Definitions and Notations

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Linear Algebra: Bijections and Cardinality

Explores bijections in linear algebra and the concept of cardinality between sets.

Injectivity and Surjectivity

Covers injectivity, surjectivity, and bijectivity in mathematical functions, explaining unique mappings and pre-image existence.

Limits of Functions: Definitions and Examples

Explains surjective, injective, and bijective functions, along with limits of functions.

Mathematics: Analysis and Algebra Overview

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

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Bijective Functions

Covers bijective functions, establishing one-to-one correspondences between sets and the importance of reducing domain and codomain for injectivity and surjectivity.