Do you have any favourite theorem(s)? I'd love to know xx
oh okay i like this. and of course i have favorite theorems, mostly based on how useful they are. here you go :
fermat's theorem (for congruences)
lagrange's theorem
fundamental theorem of finite abelian groups
density theorem
fundamental theorem of calculus (the one which uses riemann integrals)
wilson's theorem (for congruences)
special mention : squeeze theorem (mainly cause of the name)
[8.08 am] Just finished revising all the vector calculus that I have done so far. I will do 10 more pages of vector calculus today. Just praying to God that this day goes well.
***
[12.29] I studied vector calculus for an hour and so done with it for today. I will later check out Paul's online notes to see if I can use them for my next two chapters. But for now, I'll watch a movie.
***
[10.18] I completed three chapters of analysis 1.Omgggg.I was listening to some om chantings in the afternoon because I was getting stressed. It did help and made my day go so much better. I still haven't figured out how I will remember the proofs. I understand them and only vaguely reconstruct them. I just have to remember that I don't need to stress about it. I'll eventually get to know about it. If you guys know how to do it then please let me know <3
***
217 days left to go...
Will I make it ?
The Mayriit Project.Stay tuned on a Tumblr blog near you.
Zero to the power of anything is zero. Anything to the zeroth power is one. So what is zero to the zeroth power?
The world's most cited mathematicians would seem to be in disagreement about the issue
Mathematician and theoretical physicist Theodor Kaluza ( left) and theoretical physicist Oscar Klein who formulated the Kaluza-klein theory (kk theory) which is a classical unified theory of gravitation and electromagnetism built by formulating Einstein's field equations in five dimensions, considered an important precursor to string theory.
The original hypothesis came from Kaluza who sent his results in a letter to Einstein in 1919 and published his results in 1921. Kaluza presented a purely classical extension of general relativity to five dimensions with a metric tensor of 15 components ( 10 associated with 4 dimensional spacetime metric, 4 associated with electromagnetic vector potential and 1 representing a scalar field)
Oscar klein gave Kaluza's classical five dimensional theory a quantum interpretation by suggesting that the fifth dimension was curled up and microscopic to explain the cylinder condition and it's geometry could take the form of a circle of radius 10⁻³⁰
july 21, 2021
Hello! Here’s a picture of some of the books in my bookshelf that I haven’t read yet :). Today is kind of ok, besides the stomach cramps I’m having ;-;. But I’m trying not to let them ruin my mood anyways :)
21st July - What is an unpopular opinion that you have about summer?
Sorry but summer is very overrated. And I don’t particularly enjoy baking in my own sweat
Summer Studying Challenge by @myhoneststudyblr
Probably getting sand in my hair lol
📷 The picture attached is my bujo spread for the first week of August.
📚Currenly Reading : Men of Mathematics by E T Bell.
[11.32 am]I have ODE lab viva soon and I am terrified but hopefully, it will be over soon. I have given myself the task of completing 20 problems of vector calculus.
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[3.20 pm] I did start but there has been a dip in my motivation.So I guess I will just take a nice bath, cook some snacks for myself and my parents and then sit and study again.
***
[9.45 pm] I am done for the day.Today I did some problems on vector calculus.I don't know why but I felt tired in the evening and just could not sit and solve stuff so I did not force myself.There is some kind of peace in calculating the angle between two very complex surfaces don't you think? Only if I had more energy to go through it.But now I remember also loving the concept of directional derivative.It is not done yet so gotta continue tomorrow.
222 days left to go..
I love nights because I can peacefully think about proofs without self made restrictions (To do lists and life)
Hello! If you don't mind can you tell me how you organised your journal for your academics.I am a maths major and I wanted to do that for my proofs as well.I did try searching on the internet but I didn't get anything good.
Thank You in advance xx
It was a really basic format honestly ! So these are all the journals I kept during my whole undergraduate degree.
The black ones were for course and module information, lecture notes, to do lists and essay plans.
The dark and light yellow were a reading journal and a dissertation journal. I wanted to separate my own impressions of texts and I wanted to keep all my dissertation research and planning in one separate place as obviously I was conducting it by myself.
Black Journals
At the start of every year I would write down all the essential information from each of the four modules I was taking. This is an example (I have whited out the name and email of my course convened and lecturer for privacy reasons). But it includes contact information, lecture and seminar hours and locations, learning outcomes and assessment criteria (the things you will be assessed on, obviously paying attention to these helped me get top grades), assessment information (how many essays or exams I had that year and how much they contributed to my final mark and how many words they were) and finally the primary reading list.
This is what a spread of my lecture notes looks like. I always hand wrote my lecture notes because I couldn’t retain information and didn’t enjoy using a laptop. In my first two years I used a rough notebook to write them down then wrote them up neatly later, which was too time consuming for third year. But by that time I had developed my note taking skills and felt confident writing them up as I listened in the lecture. I just wrote the name of the module and the text we were studying and the date for reference. I would change to a red pen for anything I felt was key information. I know most people won’t like this method but I write fast and quite neatly !
My to do lists, essay plans etc didn’t really have a format obviously. I just wrote down what I needed to do, did some rough mind mapping, occasionally put a little doodle in. My essay plans were sort of all over the place but this is where I did my essential planning and then rough work tended to be on scraps of paper or on the draft essay document. The first is a checklist at the end of the year and the second is one of the essay plans/brainstorms for an essay I got a first in.
Yellow Journals
(i.) Reading Journal
I kept a reading journal throughout university, which I wish I had used more. It’s literally just a brain dump of all my thoughts and impressions of what I was reading and any quotes I found relevant. I included secondary reading in this too in my final year. It’s something I’m going to carry on with because I love having somewhere to keep my stream of consciousness about literature. It was so helpful for me to read over this when I was writing my essays because there were some really insightful bits of analysis or key things that I had forgotten and needed reminding of. Highly recommend everyone doing this, if not on paper then on a document on your laptop !
(ii.) Dissertation Journal
There was very little method to this journal. But having it all in one place really kept me organised. It was a place of messy but very important brainstorming, figuring out and rough work. It’s the sort of thing that’s probably only coherent to me. I just wrote down what I needed to do as I went along. So in the early stages there was a lot of trial ideas, there was pages of information about how we should structure and deal with our dissertations from lectures, deadlines etc.
The first image is the first page where I started writing out some vague ideas about the topics I wanted my dissertation to address and which literature that worked with. The last two are just an example of what some of my working out looked like, how I was deciding to structure my argument, and which secondary materials and theorists I would use for each chapter. But there were all sorts of things in there, random tangential points and ideas I needed to note down, tips about how to write an effective dissertation etc. It ended up being my highest grade so this definitely worked for me !
someone needs to tell Lance Armstrong about the Banach Tarski paradox
[8.08 am] Just finished revising all the vector calculus that I have done so far. I will do 10 more pages of vector calculus today. Just praying to God that this day goes well.
***
[12.29] I studied vector calculus for an hour and so done with it for today. I will later check out Paul's online notes to see if I can use them for my next two chapters. But for now, I'll watch a movie.
***
[10.18] I completed three chapters of analysis 1.Omgggg.I was listening to some om chantings in the afternoon because I was getting stressed. It did help and made my day go so much better. I still haven't figured out how I will remember the proofs. I understand them and only vaguely reconstruct them. I just have to remember that I don't need to stress about it. I'll eventually get to know about it. If you guys know how to do it then please let me know <3
***
217 days left to go...
Will I make it ?
The Mayriit Project.Stay tuned on a Tumblr blog near you.
|She/her | Maths Undergrad | I love reading too|Personal blog is @silenthoughtss| I follow and like from this account|
36 posts