Iso (teacher become) @IsomorphicPhi Twitter profile

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Iso (teacher become)

@IsomorphicPhi

2 years

The study of surjective maps is called onto-logy

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Iso (teacher become)

@IsomorphicPhi

3 months

All numbers x have the property that (8+1)²=81

Fermat's Library

@fermatslibrary

3 months

81 is the only number, other than 0 and 1, with this curious property.

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Iso (teacher become)

@IsomorphicPhi

2 years

Several years of studying mathematics and physics have led me to a place where I feel that I don't understand anything about anything. But at least I worked very hard to get to this place

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Iso (teacher become)

@IsomorphicPhi

1 year

Isomorphism uwu

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Iso (teacher become)

@IsomorphicPhi

3 months

Learning mathematics is such a struggle. I feel like I understand nothing and must relearn the absolute basics just over and over

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Iso (teacher become)

@IsomorphicPhi

4 months

Studying mathematics is learning the same thing over and over and over, and a little more abstractly each iteration

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Iso (teacher become)

@IsomorphicPhi

1 year

Wittgenstein in my head to me in my head:"Mathematics is neither invented nor discovered; mathematics is an activity. Ask yourself, is dancing invented or discovered?"

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Iso (teacher become)

@IsomorphicPhi

3 months

Pure mathematics is just applied mathematics applied to mathematics

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Iso (teacher become)

@IsomorphicPhi

3 months

@SchubertCalc I know that, but that isn't a joke

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Iso (teacher become)

@IsomorphicPhi

2 years

So, you're into number theory? Which number do you have a theory about and what is that theory?

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Iso (teacher become)

@IsomorphicPhi

2 years

My main interests are math, physics and philosophy. I am not sure I like either of these subjects. I may just feel an obsessive urge to do them

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Iso (teacher become)

@IsomorphicPhi

1 year

When the cure is worse than the disease

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Iso (teacher become)

@IsomorphicPhi

2 months

Measure theory must be some of the worst mathematics in existence

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Iso (teacher become)

@IsomorphicPhi

2 months

Give me a tolerable philosophy of mathematics. I am begging at this point

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Iso (teacher become)

@IsomorphicPhi

2 years

I adore books which are written on a typewriter and where all the special character are hand drawn in a size inconsistent with the typed font. Such charm and such amazing math history (from not at all that long ago)

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Iso (teacher become)

@IsomorphicPhi

1 year

After many years at university studying math I can say this with confidence: I am fairly good at solving high school math problems

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Iso (teacher become)

@IsomorphicPhi

2 years

Having the profound feeling that all the math I know comes from memorization and faking understanding

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Iso (teacher become)

@IsomorphicPhi

2 years

I wish I knew anything about differential equations

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Iso (teacher become)

@IsomorphicPhi

8 months

Physics is at its best when you can ignore the physics and do group theory instead

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Iso (teacher become)

@IsomorphicPhi

2 months

I do a course on math; I forget a lot of it. I read a book; I forget almost all of it almost instantly. I wonder why I bother

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Iso (teacher become)

@IsomorphicPhi

2 months

I don't even know if I like mathematics anymore. I'm having a hard time seeing the point of it all

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Iso (teacher become)

@IsomorphicPhi

2 years

How do you... study math and like... learn anything? Asking for a friend. In all seriousness, how do you keep your spirit up when you self study amd keep hitting a wall every other step?

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Iso (teacher become)

@IsomorphicPhi

1 year

We have algebraic geometry and geometric algebra. It is time for algebraic algebra and geometric geometry

Some theorems

@CihanPostsThms

1 year

@chmonke

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Iso (teacher become)

@IsomorphicPhi

6 months

If you enjoy physics, why is that exactly?

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Iso (teacher become)

@IsomorphicPhi

1 year

People of math twitter, send me your favorite mathematics video lectures (preferably with a comment why you like them

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Iso (teacher become)

@IsomorphicPhi

1 year

Physicists: reality is much more spectacular than anything philosophers imagine Also physicists: reality is like a bunch of differential equations which we solve

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Iso (teacher become)

@IsomorphicPhi

2 years

I wish I were better at math

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Iso (teacher become)

@IsomorphicPhi

3 months

For those who think that "random variable" is bad terminology, have you considered how bad algebra is with terminology? "Group"? "Ring"? "Field"? "Module"?

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Iso (teacher become)

@IsomorphicPhi

1 year

Mathematics is the art of saying "this looks pretty bad, but if you dig deeper it gets so much worse"

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Iso (teacher become)

@IsomorphicPhi

4 months

Mathematics is the language of the universe, and first order logic is the language of mathematics. Therefore, first order logic is the metalanguage of the universe

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Iso (teacher become)

@IsomorphicPhi

2 years

Mathematics is both a spider web and a rabbit hole. Everything is interconnected so suddenly you can find that you have gotten way further underground than you wanted to be. And the web is sticky. I hope the rabbit-spiders are nice creatures

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Iso (teacher become)

@IsomorphicPhi

2 months

Levi-Civita is only one mathematician even though he sounds like two, but to compensate we have Riesz who sound like one mathematician but are in fact two

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Iso (teacher become)

@IsomorphicPhi

7 months

Math feels frustratingly huge and deep. After so many years of study it seems that I haven't gotten further than knowing some terminology and a few elementary results

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Iso (teacher become)

@IsomorphicPhi

2 years

The real reason LaTeX default has comically wide margins is to quench future Fermats

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Iso (teacher become)

@IsomorphicPhi

2 months

Numbers are real; here is, for instance, a four: 4

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Iso (teacher become)

@IsomorphicPhi

1 year

Z/pZ is a field whenever p is a prime other than 57

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Iso (teacher become)

@IsomorphicPhi

1 year

There is too much math, if you ask me

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Iso (teacher become)

@IsomorphicPhi

3 months

Today I realized that I'm not even close to being a mathematician

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Iso (teacher become)

@IsomorphicPhi

4 months

@plain_simon Mathematicians going "recall that..." are all adherents to Plato's theory of recollection of the forms

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Iso (teacher become)

@IsomorphicPhi

2 years

I actually think that I may not like mathematics

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Iso (teacher become)

@IsomorphicPhi

1 year

Mathematics has ruined my understanding of the word "fog". What so you mean by "f composed with g" here?

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Iso (teacher become)

@IsomorphicPhi

1 month

Becoming a physics and math teacher only to realize that there's not any demand for those, and just becoming unemployed instead

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Iso (teacher become)

@IsomorphicPhi

4 months

I wanna return to learning math and, in particular, physics with a wounderous enjoyment. I wanna be curious about that stuff again

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Iso (teacher become)

@IsomorphicPhi

8 months

Question: A function is defined by f(x)=(x²-9)/(2x+6). For which values of x is the function not defined? Student, going for the surprise checkmate: They say that the function is defined, so it's defined

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Iso (teacher become)

@IsomorphicPhi

2 years

Guy who is told he's gonna teach a sequence on calculus but misheard what was said

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Iso (teacher become)

@IsomorphicPhi

2 years

Cauchy's theorem says that if you have a holomorphic function f on a disc and a finite group G of order divisble by a prime p then the integral along a closed curve of f is 0 and G has a subgroup of order p

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Iso (teacher become)

@IsomorphicPhi

2 months

A life hack in analysis is to denote your measures by μ, ν, and λ and read them out as the measure, the neasure and the leasure. Just as in differential geometry you have manifolds M,N of dimensions m,n becames manifold of dimension and nanifold of dinension

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Iso (teacher become)

@IsomorphicPhi

1 year

How can there be so much math? I have studied for years and years and still feel that I don't have the zeroth order things down

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Iso (teacher become)

@IsomorphicPhi

2 years

New book to celebrate my analysis arc

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Iso (teacher become)

@IsomorphicPhi

1 year

Proof reading? Yeah, that's a major part of learning mathematics

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Iso (teacher become)

@IsomorphicPhi

2 years

If you could recommend one math text at at most grad student level to someone, which would it be and why?

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Iso (teacher become)

@IsomorphicPhi

2 years

One of my favorite results in algebra is that any ring (non necessarily with identity) can be embedded as an ideal in a ring with identity. It is such a cute theorem

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Iso (teacher become)

@IsomorphicPhi

1 year

More books on quantum mechanics should use an abstract vector formulation without employing the bra-ket notation. Unpopular opinion

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Iso (teacher become)

@IsomorphicPhi

1 year

There is so much math I feel I "should" know at this point, but somehow don't

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Iso (teacher become)

@IsomorphicPhi

3 months

Thinking of that time during a differential geometry lecture when my brain stopped working for a minute and I asked what was meant by the ordered pair (a,b). The answer was, of course the interval a<x<b

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Iso (teacher become)

@IsomorphicPhi

2 months

What is a good math textbook like? Is there a difference between what is a good one when you learn a subject the first time, vs. when you learn it subsequent times?

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Iso (teacher become)

@IsomorphicPhi

1 year

The math book says that "4 is prime to 5". Well, 5 isn't very good at number theory then, I take it

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Iso (teacher become)

@IsomorphicPhi

1 year

Math is kicking my ass as well as my self esteem

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Iso (teacher become)

@IsomorphicPhi

2 years

Is anything in analysis actually exciting and beautiful or is it just a tedium to make rigorous all the things done with derivatives, integrals, Fourier transforms, Haar measures etc in applications?

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Iso (teacher become)

@IsomorphicPhi

3 months

Current (scatterbrained) reading

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Iso (teacher become)

@IsomorphicPhi

2 months

Many people have suggested I use flashcards to learn math better. Please help me put the proof of Riesz' representation theorem on a flashcard

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Iso (teacher become)

@IsomorphicPhi

7 months

This is wrong: the book is yellow

Curiositats espais anellats

@AppeleDuNeant

7 months

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Iso (teacher become)

@IsomorphicPhi

2 years

Integrals are hard

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Iso (teacher become)

@IsomorphicPhi

3 months

The loop is : 1. Try to study measure theory 2. Get unmotivated and try to study algebra instead 3. Get unmotivated by algebra and procrastinate 4. Try and fail to get motivation 5. Return to 1

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Iso (teacher become)

@IsomorphicPhi

7 months

Begging physicists to understand ε amount of philosophy

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Iso (teacher become)

@IsomorphicPhi

2 years

"Himbo arc" I whisper to myself as I fail at doing the most basic of mathematics

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Iso (teacher become)

@IsomorphicPhi

1 year

How did I manage to pass so many math courses?

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Iso (teacher become)

@IsomorphicPhi

3 months

When learning new topics in mathematics it is very challenging to distinguish between the forest and the trees. It is even worse when it's self-study

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Iso (teacher become)

@IsomorphicPhi

1 year

In case you're wondering, the Minkowski metric has signature -+++ I hope it helps!

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Iso (teacher become)

@IsomorphicPhi

1 year

@matthematician @anton_hilado We start with the index 2 subgroup of squares in the multiplicacative group of Z/pZ, just like in third grade

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Iso (teacher become)

@IsomorphicPhi

2 months

Insight of the day: If (X,d) is a metric space and A is a subset of X then the mapping x |-> d(x,A) is continuous. This statement can be very useful!

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Iso (teacher become)

@IsomorphicPhi

1 year

When I did physics I used to do derivatives, integrals and PDEs by following my nose and goofing around, and it was so much fun. Then I became more mathematically inclined and somehow I like analysis way less. It's not disliking rigor. I like rigor. I wonder what happened

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Iso (teacher become)

@IsomorphicPhi

11 months

Mathematics is both an art and a science. The former project was founded by Emil Artin who is a very renouned mathematician. The latter was founded by Emil Sciencein who has sadly remained mostly forgotten

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Iso (teacher become)

@IsomorphicPhi

1 year

How do people manage to read so many books?!?

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Iso (teacher become)

@IsomorphicPhi

1 year

I don't think I've understood anything in my life

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Iso (teacher become)

@IsomorphicPhi

1 year

Mathematics is the art of concluding statements which are weaker than the ones you assumed

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Iso (teacher become)

@IsomorphicPhi

29 days

The Aufbau is my favorite book in the Goosebumps series (Why did they pick that cover design?)

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Iso (teacher become)

@IsomorphicPhi

1 year

Mathematicians will be like "Remark:" and then go on for two and a half pages

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Iso (teacher become)

@IsomorphicPhi

2 months

@KamerynJW If you wanna know how they really, really work then study electronics and condensed matter physics

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Iso (teacher become)

@IsomorphicPhi

5 months

Does anyone remember what the point of physics is? In case I ever knew, I have forgotten

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Iso (teacher become)

@IsomorphicPhi

1 year

I have realized how little a degree in physics will teach you

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Iso (teacher become)

@IsomorphicPhi

2 months

I have lost all enthusiasm for learning. Studying feels like a chore, and I'm very uncertain why I do it anymore, other than I can't imagine what to do instead

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Iso (teacher become)

@IsomorphicPhi

1 year

Is it just my misconception or is the philosophy of mathematics overly focused on sets, arithmetic, and the real number line (compared to other math subjects)?

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Iso (teacher become)

@IsomorphicPhi

3 months

I didn't grasp algebraic number theory the first time, so I'm repeating a grade in Dedekindergarten

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Iso (teacher become)

@IsomorphicPhi

1 year

What is a good PDE book (for the more rigorous theory rather than methods) that can make the subject more exciting? I usually get recommended Evans, but that one fails to capture my interest, for some reason

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Iso (teacher become)

@IsomorphicPhi

1 year

Whoever wrote the history of mathematics seriously overestimated the number of Bernoullis a reasonable person can keep track of. Someone should go back and fix this

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@IsomorphicPhi

1 year

The doctor of my doctor is called my metaphysician

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Iso (teacher become)

@IsomorphicPhi

2 years

I will try to find my way back to mathematics being fun. One step at a time. No plan yet as to how

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Iso (teacher become)

@IsomorphicPhi

1 month

Proof by 'search your feelings; you'll know it to be true'

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Iso (teacher become)

@IsomorphicPhi

11 months

I am a homamn being

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Iso (teacher become)

@IsomorphicPhi

1 year

Wrote "morphism of topological spaces" rather than "continuous map". My mind is in a place

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Iso (teacher become)

@IsomorphicPhi

2 years

Reading books on representation theory is hard and confusing. I'm still trying to figure out who's the main character

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Iso (teacher become)

@IsomorphicPhi

2 months

I'm trained as a mathematician; it's one of the worst things you could ever be

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Iso (teacher become)

@IsomorphicPhi

1 month

What is the etymology of U,V,W being open sets?

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Iso (teacher become)

@IsomorphicPhi

1 year

I just wanna teach math! Is that too much to ask?

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Iso (teacher become)

@IsomorphicPhi

1 year

I don't find any joy in any intellectual activity anymore. I hope that I get that back

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Iso (teacher become)

@IsomorphicPhi

2 months

Language is the language of math

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Iso (teacher become)

@IsomorphicPhi

1 year

@girlbossmoder Yeah, but tell me how the ball solves the Euler-Lagrange equations, please?!? :-P

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Iso (teacher become)

@IsomorphicPhi

2 months

We made it. I love math again

Iso (teacher become)

@IsomorphicPhi

2 months

At 4k I will enjoy math again

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Iso (teacher become)

@IsomorphicPhi

2 years

We celebrate the end of the proof with a d'Alembert operator

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