Normed Vector Spaces Part 1

[@neethumariammathew7957]

Many good memories from this course. Ole is an amazing teacher

[@Impedancenetwork]

University of Houston, Electrical Engineering student enrolled in ECE 5335 "State Space Control Systems." I came here because I am trying to understand Optimal Control Systems specifically LQR (linear quadratic control). I kept encountering the phrase "normed vector space" so I started my journey to figure out what that means exactly. So here I am learning about Normed Vector Spaces. This is a pretty good lecture. I learned a lot in just 50 minutes.

[@cesaresparza6957]

The name of the book of this course is "Functions, Spaces and Expansions" by Ole Christensen ... enjoy!

[@arianj2863]

Currently finishing off my AM & CS Thesis, found this lecture series so helpful during the whole process and wished I had paid more attention to Real Analysis when I followed the course

[@reganross3608]

This is enormously helpful and very thorough. Wonderful lecturer!!!

[@SuperDanisse]

I'm just loving this lectures!! I'm an engineer trying to learn mathematics XD and just to understand how mathematicians speak!! I find this topics so abstract in the books...Thanks :)

[@m.donnediego587]

DenCh R good idea!

[@bilalghermoul3634]

Very good lectures by a very good lecturer.

[@ghazalfaris8796]

We almost have to start with what we know 29:27 what do3w ot mean what we have here? 1.remove[apply absolute sign Inequality [special case of Pythagorean theorem A2 +b2 = c2 squared becomes [A+b] = [c] Norms helps in convergence 37;17 sequence of elements in vector space where each point is a vector The secret of epsilon is same as difference between any triangle and a right angel 46:19 starta a new lecture Trigonometric function Sum of Complex exponential functions

[@jacub7905]

amazing lecture

[@isaacdaniel8225]

Have been blessed from this lecture. Thank you

[@dr.leonardhofstadter5866]

This some great lectures, i have a great love for mathematics, i been studying advanced graduate level mathematics for awhile. ⚠ASOT FOREVER⚠

[@ricardocesargomes7274]

Uma aula maravilhosa, o livro do professor Ole Christensen é fantástico!

[@NoNTr1v1aL]

Amazing lecture series!

[@thekolbaska]

This is fantastic! Thank you!

[@setnoset]

Agree with Lax, but it is only sufficient to state that W is nonempty. that zero is contained in W then follows since there is some w in W and then 0*v=0 must be in W. Nice lecture btw

[@fbkintanar]

the link provided by Vik Kamath didn't work for me, I found the course material at www2.mat.dtu.dk/education/01325/overview.htm

[@MohammadrezaParsa-k7p]

Could you please provide information on the prerequisites for this course?

[@LaxClarke]

Lemma 1.2.7 is not correct. Need to add a second condition, either ask for 0 to be in the subset or ask for the subset to be nonzero. The way it is stated in the lecture allows for null set to be a subspace

[@thetedmang]

This is not a rigorous math course; it's a good primer for analysis, taught by a talented professor, but if you are expecting a graduate-level math course you will be disappointed.

[@ataketesamuel9542]

Thank you for saving my time

[@alute5532]

Video starts at 6:48

[@sanjursan]

9:00 My oscilloscope prefers voltage instead of current, to plot over time, but macht nichts really.

[@esraam8249]

Please Is any normed space is closed ?true or false

[@mohamedaminemiftah8075]

hello,where to find the problem sets ?

[@LaxClarke]

nonzero => nonempty *(typo)

[@willam.willamswong7330]

I think the definition of the limit || v - vk||

[@tech_science_tutos4155]

provide me the book title

[@thomasjefferson6225]

My wifes Norwegian and asked, is he danish 😂

[@Eminosrrr]

which book or lecture notes is he using?

[@kasperborup8683]

Functions, Spaces, and Expansions, which is a book he wrote himself. Another recommendation would be: Kreyszig - Introductory Functional Analysis with Applications.

[@timmahar4205]

Does the course get into dual spaces?

[@vikram360]

Please look at my comment above.

[@brandomiranda6703]

Is this a mathematics course or a engineering course?

[@abu3qab]

+Brando Miranda According to the website, it is a class for both applied math and engineering.