This course provides a basic introduction to metric spaces. It covers metrics, open and closed sets, continuous functions (in the topological sense), function ... Lecture Notes · Syllabus · Lecture Videos · Problem Sets

This package contains the same content as the online version of the course, except for the audio/video materials. These can be downloaded below.

The central aim of the lectures is to present Cauchy's Theorem and its consequences, particularly series expansions of holomorphic functions, the calculus of ...

This course covers the basics of convergence and point set topology in the context of metric spaces. Course description, This course follows on from the ...

A third level course that introduces important topics in the theory of pure mathematics including: number theory; the algebraic theory of rings and fields; and ...

This course is about topological properties of spaces, including the familiar n-dimensional Euclidean space \mathbb{R}^n but also for example function spaces ...

Course Overview: The theory of metric spaces is foundational to much of pure and applied mathematics, for it axiomatises the notion of a sensible distance ...

Продолжительность: 25:37
Опубликовано: 12 дек. 2020 г.

This course is about topological properties of spaces, including the familiar n-dimensional Euclidean space Rn but also for example function spaces arising in ...

This course provides a basic introduction to metric spaces. It covers metrics, open and closed sets, continuous functions (in the topological sense), ...