Inverse function

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Related lectures (29)

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Inverse Function Theorem

Covers the inverse function theorem, Jacobian matrix, injective functions, bijective functions, and spherical coordinates.

Local Invertibility: Vector Fields

Covers local invertibility of vector fields and the Inverse Function Theorem.

Composition of Functions: Application and Reciprocal Functions

Covers the composition of functions and reciprocal functions, with examples and formulas on logarithms and bijective functions.

Advanced Analysis II: General Variable Change

Explores general variable change in advanced analysis with practical examples.

Change of Coordinates: Analysis Week 8

Explores changing coordinates, bijective functions, Jacobian matrices, and reciprocal functions in analysis.

Functions: Limits and Continuity

Explores functions, limits, continuity, differentiability, and important notions of limits and divergence.

Cartesian Products and Equivalence Relations

Introduces Cartesian products, equivalence relations, and functions, emphasizing the importance of order and discussing injective, surjective, and bijective functions.

Group Theory: Definitions and Properties

Introduces group theory concepts, properties, and examples, including injective functions and group properties like associativity and inverses.

Inverse Function Identity

Explains the inverse function identity and provides examples with ln(x), sin(x), and cos(x).

Functions: Limits, Continuity, Differentiability

Explores the origin of functions, continuity, differentiability, and the physical representation of chemical bonds.