“I Think, If It Is True That There Are As Many Minds As There Are Heads, Then There Are As Many Kinds

Hello! I really like your blog and it somehow makes me feel good and safe, your notes are really pretty! When I look at them they seem so interesting and I wish to understand them but the problem is I haven't even started university (I have just finished high school) and I'm kind of scared thinking it would be too difficult for me to grasp. It is just so different from high school math but at the same much more fascinating. Do you perhaps have any advice on how to introduce myself to it, where to start? Or should I just wait for the classes to start and then study?Best wishes to you!! Thank you

Hey @dantesdream !

I just want you to know that mathematics is difficult at the University level but it is not more difficult than any other university course.It is just different.📚

So how is mathematics different and why you shouldn't get discouraged by it?

There is an entire book written on it.It is called 'Alex's Adventures in Numberland' written by Alex Bellos.There is one particular page that I really like.It talks about how are brain perceives the world around us on a logarithmic scale but mathematics is linear and that is why we have to put the extra effort into it (To convert logarithmic to linear) but according to me this extra effort is far less than wading through hundreds of textbooks often contradicting each other that many other university courses require. Here is the cover page of the book I recommended if you would like to read it.

Apart from having a positive attitude towards it I think it'll be great if you could start studying it before your university begins.

So from where should you start?

If you know where you'll be going for your university studies then you can check if your university has uploaded their notes online and start accordingly.Some old students also usually post their notes,so see if you can get your hands on them.If these two options fail then there are two more.Oxford university has made all their mathematics notes avalilable.You can start with their Introduction to mathematics and complex numbers course (I'll put the link at the end).A student from Cambridge University named Dexter Chua also has made his notes available.You can start with Numbers and sets if you use his notes (Again I'll put the link at the end).

Oxford notes:

https://courses.maths.ox.ac.uk/overview/undergraduate

Dexter's notes:

https://dec41.user.srcf.net/notes/

You should be fine with these but the beginning steps into mathematics needs a little more help.You can use the book called as 'How to prove it:A structured approach' by Daniel J. Velleman.If you can read this with the first course that you are taking (your university notes or Oxbridge notes) then I think you'll enjoy the course more just like I did.Here is the image of the book

If you want to know more then I'm just a message away so feel free to ask your doubts.

And thank you for all your compliments hehe ^_^

30th July 2020

🌿What would be your perfect summer day? 🌿

Wake up late,have a light breakfast,pack a good lunch and go to a nearby scenic water place with my family.My family includes my parents,my cousins,my uncles and aunts.Eat a ton of fruits,play a lot of games,make a truck load of memories and fall asleep on my mommy's shoulder in the car on the way back home.

What does FTC say?

It says that if a person takes the derivative of a function and then integrates it over a region on the number line say [a, b] then this is the same as evaluating the function on its endpoints.

What does the Green's Theorem say?

Green's Theorem is the fundamental theorem of calculus in 2 dimensions.Instead of taking the derivative of a single variable function we take the curl of a 2 variable function.Instead of integrating this over a number line we integrate it on the xy plane.Instead of evaluating the function at the two endpoints a and b and taking the difference, we take the line integral of the function and integrate it around the curve in a counterclockwise direction.

What does the stokes' theorem say?

Stokes' theorem is the fundamental theorem of calculus in 3 dimensions. Instead of taking the derivative of a single variable function, we take the three-dimensional curl. Instead of integrating this over a number line, we integrate it on the surface (To evaluate the surface integral one has to dot the vector field with unit normal vectors). Instead of evaluating the function at the two endpoints a and b and taking the difference, we take the line integral of the function and integrate it around the curve on a surface in a counterclockwise direction just like in Green's Theorem.

[3.48 pm]The piecewise functions that I didn't like can be solved easily using greens theorem (Happy dance ).The only condition is that the terms gotta be continuous and bounded.I did complete my targeted 20 problems a day but not at all satisfied with the topic.So I am going to do the same topic tomorrow again but I will find some different problems.It suuuuuuuccccckkkksss when you do problems and still need more problems to perfect the concept but I am going to be patient because everything will be just fine after a year.

***

[10.43 pm] I usually wind up with my studies by now but I haven't yet finished some of it. So I am going to sit for 30 more minutes and finish it all off and not push it to tomorrow. I was helping my friend with experimental values for a physics experiment. You know those scientific notations I always used to find them boring when I first learnt about them but now after actually using them so many times I have come to appreciate them very much. Those notations feel like these delicate things to me now. You gotta handle those notations with care and when you do it will give you get such an accurate answer.its just a very nice feeling to see it come together.

***

[11.45] I completed a chapter of real analysis 1 and a very small chapter in group theory.I wanted to do a bit of linear algebra but I changed my mind and so I am gonna do it tomorrow.

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220 days left to go...

Will I make it ?

The Mayuriit Project. Stay tuned on a Tumblr blog near you.

🐼3rd July and 4th July of Summer Studying Challenge 2021🐼

Do you have a lot of work this summer?

The work is not a lot but I do need to be disciplined to get it all done.

What is the most important task that you need to complete this summer ?

I have to complete my mathematics assignments.These include Vector Calculus, Integral Calculus, Real Analysis, Linear algebra and Group theory.It might look like it's a lot but it is not.I have been struggling with Group theory assignment 3.It has been such a nightmare lol.I did speak to my maths professor about this and he said he will help me out.So a bit relived for that.

26/05/2021

Salut 👋

I just finished 30 minutes of French 🇫🇷 in Duolingo.I love the way it sounds 🤭So today I have decided to do the following stuff

Simple Harmonic Motion

Group theory Problems

Mathematics and statistics revision

I'm hungry,I'll go prepare my breakfast now.Ba bye have a wonderful day!

Day 1

Assignment: Classwork of Vector Calculus

[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.

***

[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..

17/05/2021

Today I have classes till 4.30.I am not feeling great but I am determined not to be controlled by my negative thoughts.I will rest for some time after the classes then maybe have a cup of tea(I know drinking tea is not recommended after 2 lol but maybe an exception today), and start my work.Today I want to get done the following stuff

Complete revising my last week's maths content.(Hardly 15 minutes)

20 Problems from Group theory( at least 1 hour)

Group theory (Important actions and applications)(Maybe 90 minutes hopefully less lol)

Around 3 hours of work.Hehe not much but I'll be dead tired by the end of it.Okie see ya!

Hope you are having a wonderful day!!

20210714

My love for both Hannibal Lecter and Sherlock Holmes has returned once more. If we were to add Henry Winter to that list we would have the most influential people in my life, though in a very close fourth place is undoubtedly my math teacher. All of them have contributed towards finding my sense of self and identity in a turbulent world and sharpening my knowledge into a fine blade.