SEMF | Functional Analysis (4/4) | Óscar Roldán | Summer School 2022 @SEMF | Uploaded July 2022 | Updated October 2024, 8 hours ago.
Short course kindly contributed by Oscar Roldán Blay in SEMF's 2022 Summer School
semf.org.es/school2022
COURSE ABSTRACT
The importance of Functional Analysis in mathematics relies in the fact that it serves as a bridge between two of the main branches of study historically: analysis and linear algebra. While this is an abstract topic of study, and the terms and result are rather complex, many of the concepts are actually based in geometrical intuitions. In this course we will do a brief introduction to the basics of functional analysis from an intuitive approach, trying to visualize the actual meaning behind some of the basic concepts, such as metrics or norms, with some analogies to some real world entities. The course is not exclusively aimed at people with a high background in mathematics. We will attempt to cover the main ideas from topological, metric, normed and Banach spaces, without getting too much into the deep formal details.
ÓSCAR ROLDÁN BLAY
PhD student at Universitat de València
UV profile: uv.es/uvweb/universidad/es/ficha-persona-1285950309813.html?p2=osrol2&idA=true
SEMF NETWORKS
Website: semf.org.es
Twitter: twitter.com/semf_nexus
LinkedIn: linkedin.com/company/semf-nexus
Instagram: instagram.com/semf.nexus
Facebook: facebook.com/semf.nexus
Short course kindly contributed by Oscar Roldán Blay in SEMF's 2022 Summer School
semf.org.es/school2022
COURSE ABSTRACT
The importance of Functional Analysis in mathematics relies in the fact that it serves as a bridge between two of the main branches of study historically: analysis and linear algebra. While this is an abstract topic of study, and the terms and result are rather complex, many of the concepts are actually based in geometrical intuitions. In this course we will do a brief introduction to the basics of functional analysis from an intuitive approach, trying to visualize the actual meaning behind some of the basic concepts, such as metrics or norms, with some analogies to some real world entities. The course is not exclusively aimed at people with a high background in mathematics. We will attempt to cover the main ideas from topological, metric, normed and Banach spaces, without getting too much into the deep formal details.
ÓSCAR ROLDÁN BLAY
PhD student at Universitat de València
UV profile: uv.es/uvweb/universidad/es/ficha-persona-1285950309813.html?p2=osrol2&idA=true
SEMF NETWORKS
Website: semf.org.es
Twitter: twitter.com/semf_nexus
LinkedIn: linkedin.com/company/semf-nexus
Instagram: instagram.com/semf.nexus
Facebook: facebook.com/semf.nexus
