Great presentation -- I distinctly remember, first time I encountered CS, I wondered "How was I supposed to know this? And how am I supposed to know when to reach for it?" I definitely would have benefited from hearing "You weren't supposed to know this or figure it out -- you were supposed to learn it in analysis and use it ever after. From now on, when the triangle inequality fails you, think about reaching for CS."
Great video Dr. Rosenfeld! I suggest asking the class to prove the nth root existence in one line once the inverse function theorem is proven. I always though it was fun how abstract theorems are sometimes easier to prove than the corresponding special cases, after building up the necessary machinery.
Did an interesting STEP 2 2017 question on the integral form of this inequality (I’m not sure if it’s the same one forgive me if I’m wrong) and got stuck on the last part I need to do step for my Cambridge offer and it’s extremely tough so I was wondering if you had tips for approaching it (if you have heard of the exam)
5:15 RHS of that first equality should be squared.
Thanks for catching that! I’ll pin this so others can see it too.
Great presentation -- I distinctly remember, first time I encountered CS, I wondered "How was I supposed to know this? And how am I supposed to know when to reach for it?" I definitely would have benefited from hearing "You weren't supposed to know this or figure it out -- you were supposed to learn it in analysis and use it ever after. From now on, when the triangle inequality fails you, think about reaching for CS."
I’m taking real and complex analysis this semester and your videos are so helpful!
I’m really happy to hear that!
Thank you so much about cauchy-schwart inequality. You just help me out understanding hilbert spaces
I’m glad I could help! Welcome to the channel
I love the thumbnail, Rudin next to a waffle and coffee the perfect way to start off a day
The best thing about making those thumbnails is that I get a snack when I'm done!
Analysis is the best subject in math!
It really is :)
Great video Dr. Rosenfeld! I suggest asking the class to prove the nth root existence in one line once the inverse function theorem is proven. I always though it was fun how abstract theorems are sometimes easier to prove than the corresponding special cases, after building up the necessary machinery.
ur my new goat of mathematics youtube
cant wait to start uni
Thanks! That means a lot to me!
Did an interesting STEP 2 2017 question on the integral form of this inequality (I’m not sure if it’s the same one forgive me if I’m wrong) and got stuck on the last part
I need to do step for my Cambridge offer and it’s extremely tough so I was wondering if you had tips for approaching it (if you have heard of the exam)
@@Lil_shrimp4 Can you give me a link to the question? I’d hate to give advice in the wrong direction.
I use several times the CS ineq in numerical analysis of pde’s
I use it a lot in proving properties of SPDE numerical schemes. Usually the Young's inequality applied immediately after to separate the norms
Very good! I Always looked for a content like this on ytb
Glad you like it! This has been a fun series to make.