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assignment 等级:入门
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chat_bubble_outline 语言 : 英语
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关于内容

Learn about functional analysis

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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: Properties of the Lp spaces
Week 7: Distributions and Sobolev Spaces
Week 8: Application: simulating a membrane

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教师

  • John Cagnol - Mathematics
  • Anna Rozanova-Pierrat - Mathematics
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内容设计师

CentraleSupélec
CentraleSupélec is the result of the merger of the Ecole Centrale Paris and the Supélec. The collaboration between the two Colleges of engineering begun in 1969 with the introduction of the joint competitive entrance exam. Since 2009, the Ecole Centrale Paris and Supélec have continually strengthened their partnerships and collaborations with the aim of encompassing the whole of their activities (engineering education, research and post graduate programs) and confirmed their shared values of excellence, innovation, entrepreneurship, internationalization and leadership. Today CentraleSupélec aims to become a reference in the field of engineering and systems sciences and a leading engineering College in the area of higher education and research, ranked amongst the best institutions in the world.
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平台

Coursera

Coursera是一家数字公司,提供由位于加利福尼亚州山景城的计算机教师Andrew Ng和达芙妮科勒斯坦福大学创建的大型开放式在线课程。

Coursera与顶尖大学和组织合作,在线提供一些课程,并提供许多科目的课程,包括:物理,工程,人文,医学,生物学,社会科学,数学,商业,计算机科学,数字营销,数据科学 和其他科目。

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