Graduate_Math_Solved
@Gradmathsolved
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We put out rigorous solutions to graduate-level problems. https://t.co/t6Vxwb7vcC
Joined March 2021
If the domain of a continuous and one-to-one map between topological spaces is compact then the inverse function is automatically continuous! After a short proof of this, I give a counterexample if we drop compactness. #mathproofs #mathematics #realanalysis
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If A is an nxn matrix then does A=B^2+B have a solution? See the surprising proof in the link in comment! #Mathematics #realanalysis #phdlife #graduate #mathproofs #freemath #hippomathumus #calculus #رياضيات
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Under certain assumptions on vector field g on R^n we show that every scalar function f on R^n can be written as dot product of g and a new vector field h. #realanalysis #calculus #mathproofs #mathematics #graduate #phdlife #freemath #mathlectures
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Can we save any part of the inverse function theorem if we drop C^1 assumption? Link in comment. #math #phdlife #mathproofs #realanalysis #freemath #calculus #hippomathumus #graduate
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Find all points where f(x,y)=|e^x-e^y|(x+y-2) is differentiable. https://t.co/TprAJXqN0l
#realanalysis #Mathematics #graduate #calculus #mathproofs #phdlife #ریاضی #الریاضیات #freelectures #mathonyoutube #mathonyt
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what is the baking soda of your area of research? You know, this theorem or lemma or just a trick that almost always applies! :)) #mathematics #graduate #hippomathumus #realanalysis #topology #geometry #Algebra
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Give an example of a closed subset of R with no rationals and no isolated points. See my solution using factorials! on my YT channel. #mathematics #topology #analysis #realanalysis #mathproofs #phdlife #graduate #ریاضی #الریاضیات
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Breathing expert Dr. Martin J. Tobin delivered damning testimony Thursday on how Derek Chauvin killed George Floyd: ‘Mr. Floyd died from a low level of oxygen’ (warning: distressing)
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Every CONVERGENT subsequence of x_n converges to x. Prove the whole sequence converges to x. Please subscribe to my channel if you like my content. #Mathematics #calculus #realanalysis #mathproofs #freelectures #homework #hippomathumus
https://t.co/Cbg9m6PYF6
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Oh, BTW, he is a mat hematical genius! Could as well have tweeted the letter :)) #phdlife #hippomathumus
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