An Introduction to Functional Analysis

МООК
en
Английский
48 h
This content is rated 0 out of 5
Source
  • From www.coursera.org
Conditions
  • Self-paced
  • Free Access
  • Бесплатный сертификат
More info
  • 8 Sequences
  • Introductive Level

Their employees are learning daily with Edflex

  • Safran
  • Air France
  • TotalEnergies
  • Generali
Learn more

Course details

Syllabus

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

Prerequisite

None.

Instructors

  • John Cagnol - Mathematics
  • Anna Rozanova-Pierrat - Mathematics

Editor

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.

Platform

Coursera - это цифровая компания, предлагающая массовые открытые онлайн-курсы, основанные учителями компьютеров Эндрю Нгом и Стэнфордским университетом Дафни Коллер, расположенные в Маунтин-Вью, штат Калифорния.

Coursera работает с ведущими университетами и организациями, чтобы сделать некоторые из своих курсов доступными в Интернете, и предлагает курсы по многим предметам, включая: физику, инженерию, гуманитарные науки, медицину, биологию, социальные науки, математику, бизнес, информатику, цифровой маркетинг, науку о данных и другие предметы.

This content is rated 4.5 out of 5
(no review)

What did you think of this course?

Complete this resource to write a review