Lecture

Functions Reciprocal and Monotone: Advanced Analysis II

In course

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Description

This lecture covers the concepts of reciprocal functions, strict monotonicity, and continuity in the context of advanced analysis. It discusses the properties of functions defined on closed intervals, their derivatives, and the existence of reciprocal functions. The lecture also explores the conditions for a function to be strictly monotone and bijective, emphasizing the importance of continuity and differentiability. Various examples and demonstrations are provided to illustrate these mathematical concepts.

Official source

https://mediaspace.epfl.ch/media/0_qb4bcact

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Ontological neighbourhood

Mathematics

Analysis: Calculus

Topology: General topology

Mathematical logic: Set theory

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