Exact sequence edition.ITT: Discussion of mathPrevious thread: >>16803023
>>16835273>/mg/ - math general>picrelMore like "/~mg/ - not-maths general", amirite.
>>16835273does Mathchan still exist?
>>16835273>Mathchanit's still down btw.
Math is gay.Q.E.D.
>>16835273 I'm a retard, when I was in university and school I could do Trigonometry, matrix and Inequation of second grade with no problem at all and now after 10 years of doing nothing I forgot everything, I took my old notebooks I wrote a lot, I took all mines from start to finish and re reading and re learning from what I wrote down.Now I'm learning from first grade equations with fractions, because I noticed that after I took a job in Engineering I noticed that since I use software for calculation and many stuff I wanted to go back to the roots of when I needed to really know this stuff and calculate like that on the top of your head.So I'm relearning and reloving math even if I feel like a retard but I noticing that is just like riding a bicycle but maybe slower, I noticed I even forgot binary and exadecimal calculus and I notice how everything makes so fucking much sense of life and logic and even programming that I started as an hobby last month, it's like rediscovering my own brain.ESL sorry.So how are you math anons? Me I'm both sad but happy, sad because I turned off my brain after I took a job and happy because I'm rediscovering my brain.
>>16836318keep at it anon. Doing math every day for over a year genuinely transforms your brain. I was also basically a retard at math before going to uni. Always make sure to challenge yourself, though. If a book is challenging to you, see that as a sign that you have a lot to learn from it, don't let that discourage you from reading it
>>16836378>I was also basically a retard at mathHow did you change that? Where did you start from? I’m solving linear algebraic equations, reading Elements by Euclid, books of propositional logic, Frege’s concept script, Logic gates , Thermodynamics , Quantum Mechanics and on set theory.
>>16836559reading difficult books, analyzing proofs carefully until I've fully internalized the reasoning and could call them my own, and spending a lot of time on my own proofs (exercises, etc.).When I first started out, these notes on Linear Algebra (technically also Algebra, maybe combine it with something like Shilov or Gorodentsev to get a full course) helped me a lothttps://www.ams.org/open-math-notes/omn-view-listing?listingId=110700https://www.ams.org/open-math-notes/omn-view-listing?listingId=110701If you want something on naive set theory that constructs the real numbers, I'd recommend the first chapter of Amann Escher's analysis series. Don't spend too much time on foundationsFor physics, I always liked Landau Lifshitz. Volumes 1-3 and 5 are must reads imo, 4 is subsumed by later QFT books like Weinberg. Also check out these lectures https://www.youtube.com/playlist?list=PLPH7f_7ZlzxTi6kS4vCmv4ZKm9u8g5yic
what IQ do you have to stand a chance in doing a bachelors/Master/PhD degree in mathematics? im working on linear algebra at the moment and analysis I but its not my main subject. i just booked the course for fun but Lina is doing something to my mind i cant explain. the past 4 months i worked 5-6 times a week net 4-5 hours a day without a break. i jumpstarted from 0 to 100 workload. sometimes i get deep encoding fatigue but damn i love algebra.
>>16833126>>16832694use deepseek, you can compile code with shadertoy to visualize it (at least it tries to anyway)
does anyone know a good, quick resource to learn the basics about modules, tensor products, and fibred products? i'm going through the rising sea of algebraic geometry right now and the category section is whopping my ass, mostly because it's using these things that i have never worked with before
>>16836854Roman's Advanced Linear Algebra has a ton of material on modules and a decent amount on tensors (if im remembering correctly, I'm sure about the modules but it's been a couple years since I've opened that book).
>>16836854since other anon mentioned Rotman I'll point out that Introduction to Homological Algebra Chapter 2 has a great explanation of tensor products, as well as a QRD rundown on modules in general
>>16836854>>16837205Roman is pretty good. Lang's Algebra also touches on modules and the tensor product, it's worth checking out.
