An Introduction to Functional Analysis

开始时间: 04/22/2022 持续时间: 8 weeks

所在平台: CourseraArchive

课程类别: 数学

大学或机构: École Centrale Paris(巴黎中央理工学院)

授课老师: John Cagnol

课程主页: https://www.coursera.org/course/functionalanalysis

课程评论: 1 个评论

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课程简介

Learn about functional analysis

课程大纲

Week 1: Topology; continuity and convergence of a sequence in a topological space.
Week 2: Metric and normed spaces; completeness
Week 3: Banach spaces; linear continuous functions; weak topology
Week 4: Hilbert spaces; The Riesz representation theorem
Week 5: The Lax-Milgram Lemma
Week 6: Lp spaces; Fischer-Riesz
Week 7: Sobolev spaces
Week 8: Use of functional analysis for Partial Differential Equations

课程评论(1条)

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Tensorspace 2014-09-13 17:58 0 票支持; 0 票反对

One of my professor told me: you'd better learn some functional analysis or real analysis despite of all math courses you've taken in undergraduate years.

课程详情

Learn about functional analysis

课程标签

巴黎中央理工学院 泛函 泛函分析 泛函分析介绍 泛函分析导论 数学

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