Are you an aspiring math major, but don't know what your field of study should be? Consider using this flow chart to help determine what you should focus on!
This is an updated version of a previous chart I made, shoutouts/heads ups to the following
@algebraic-dumbass I used smartdraw for the first one (I screenshotted instead of paying) but since the scope expanded I figured screenshotting wouldn't work well here, and so I used draw.io here. Thanks again for the idea!
@spinspinspinspinspin @renew-world I have tried to include some more algebra here!
@eulers-biggest-fan @khnuvr @zahlenfreak I have now included combinatorics (and friends?)
@the-least-undefinable-ordinal I had no idea where to put set theory I am so sorry. I had the idea for a prompt ('Do you want people to wildly underestimate how complicated your field is?') but couldn't find a place to slot it
@mathemagicalfae I added in math education and actuarial science (I can't believe I didn't think of those)!
Also thank you to everyone saying this is accurate or that they followed it and landed on their specialty. If you couldn't tell from the above @'s I did read every tag <3
Test functions and [tempered] distributions require the notion of topological vector space … distributions can be traced back to Green's functions in the 1830’s to solve ordinary differential equations … the 1936 work of Sergei Sobolev on hyperbolic PDE’s.
Laurent Schwartz introduced the term "distribution" by analogy with a distribution of electrical charge, possibly including not only point charges but also dipoles and so on.
tempered distribution
topological vector space
(^ if there is a dipole, there must be a notion of subtraction, hence the need for a vector, and to speak of this very conceptually, use a TVS)
i finally got all the relations i’ve been working for in this paper and i’m v happy. it’s a shame there are 8 more pages left and this one section took me two weeks.
Book Partial Differential Equations Analytical Methods and Applications by Victor Henner pdf Book Partial Differential Equations Analytical Methods and Applications by Victor Henner pdf Pages 385 By Victor Henner, Tatyana Belozerova, Alexander Nepomnyashchy Series: Textbooks in Mathematics Publisher: CRC Press, Year: 2020 ISBN: 9781138339835 Search in Amazon.com (Textbooks in Mathematics) Victor Henner, Tatyana Belozerova, Alexander Nepomnyashchy...
Partial Differential Equations for Scientists and Engineers By Stanley pdf Partial Differential Equations for Scientists and Engineers By Stanley pdf : Pages 215 By Stanley J.Farlow Each chapter contains a selection of relevant problems (answers are provided) and suggestions for further reading. Partial Differential Equations for Scientists and Engineers Solution manual
Eli Stein was the first to appreciate the interplay among representation theory, classical Fourier analysis, and partial differential equations, and to perceive the fundamental insights in each field arising from that interplay. How did Stein’s scope and originality contribute to numerical analysis?
Image: ‘E8 Petrie projection’ by Jgmoxness. CC BY-SA 3.0 via Wikimedia Commons.
