Empirical Mathematics Edition [TQFT, String Theory, AQFT over exotic spacetimes, etc.]
NO Grothendieck or Serre.
What have you been studying, /mg/?
/mg/ math general - Empirical Mathematics Edition
Luke Robinson
Other urls found in this thread:
math.stackexchange.com
etoix.wordpress.com
Veeky
en.wikipedia.org
math.stackexchange.com
terrytao.wordpress.com
terrytao.wordpress.com
calnewport.com
ncatlab.org
twitter.com
Bentley Baker
where the fuck do i start with number theory? elementary, analytic or algebraic? getting sick of the attacks on /mg/
Blake Martin
>What have you been studying, /mg/?
I've been studying French to start reading Grothendieck's ETQFT.
Nolan Brooks
undergrad math major here. I can understand how to "do problems" but I'm having trouble with what it all means. I can't help but feel that there's always more out there that I can't grasp, and that I'm only scratching the surface of the surface of math. Anyone else relate?
Camden Mitchell
In Spivak's Calculus, chapter 1 problem 4 (v-viii), perhaps even more, how does the author expect you to prove inequalities such as:
>(v)[math] x^2-2x+2 > 0 [/math]
>(vi) [math] x^2+x+1 > 2 [/math]
>(vii) [math] x^2 -x + 10 >16 [/math]
I understand these are "completing the square" and quadratic equation problems, but how am I supposed to derives this myself given only the properties in pic related?
The only solutions I've seen involve so much creativity it seems infeasible:
>math.stackexchange.com
Here is the top answer from said link, regarding question vi (I'm praying to god the tex works out):
[math]
x^2+x+1&>2 & \text{Given}\\
x^2+x+1+0&>2+0 & \text{By Addition}\\
x^2+x+1+0&>2 & \text{By P2}\\
x^2+x+0+1&>2 & \text{By P4}\\
x^2+x+\left( \frac{1}{2} \right)^2+(-1)\left( \frac{1}{2} \right)^2+1 &>2 & \text{By P3}\\
\left(x+\frac{1}{2}\right)\left(x+\frac{1}{2}\right)+(-1)\left( \frac{1}{2} \right)^2+1 &>2 & \text{By P9}\\
\left(x+\frac{1}{2}\right)\left(x+\frac{1}{2}\right)+ (-1)\left( \frac{1}{4} \right) + 1 &> 2 & \text{By Multiplication}\\
\left(x+\frac{1}{2}\right)\left(x+\frac{1}{2}\right) &> \left( \frac{5}{4} \right) & \text{By Addition, P3, and P2}\\
[/math]
In this example, it seems infeasible to be expected to see the possibility of [math]-1(\frac{1}{2})^2 + \frac{1}{2}[/math]
I understand these questions are intended to be difficult, but I'd like to leave no stone unturned throughout this book.
Benjamin Rivera
Tex did not work out, here's a lazy screenshot:
The answer ends up being [math] x > \frac{-1 + sqr{5}}{2} /math] or [math] x < \frac{-1 + sqr{5}}{2} /math]
Juan Rivera
>[math] x > \frac{-1 + sqrt{5}}{2} /math] or [math] x < \frac{-1 + sqrt{5}}{2} [/math]
Ryder Watson
which fucking thread is the real one. fucking autists
Cameron Richardson
>(vii) x2−x+10>16
This should've been
>[math] x^2 +x + 1 > 0 [/math]
Luke Kelly
well this one is the only one with math so far