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This is my video series about Functional Analysis where we start with metric spaces, talk about operators and spectral theory, and end with the famous Spectral Theorem. I hope that it will help everyone who wants to learn about it.
x
00:00 Introduction into functional analysis
01:49 Metric space (introduction)
02:25 Metric (definition)
03:20 Metric (definiteness)
03:36 Metric (symmetry)
04:07 Metric (triangle inequality)
05:31 Credits
#FunctionalAnalysis
#VectorSpaces
#Mathematics
#LearnMath
#calculus
I hope that this helps students, pupils and others. Have fun!
(This explanation fits to lectures for students in their first and second year of study: Mathematics for physicists, Mathematics for the natural science, Mathematics for engineers and so on)