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For anyone interested in applying traditionally pure fields, Applied Topology has been slowly gaining steam lately (as reflected in the article: "topological" i
by romwell 8y ago
For anyone interested in applying traditionally pure fields, Applied Topology has been slowly gaining steam lately (as reflected in the article: "topological" is now a hot word).
Robert Ghrist of UPenn has been at the forefront of bringing topology into applied fields; and has written a good text on the subject.
- amirhirsch 8y agoHipster Topology: I studied Algebraic Topology before it became "Applied"
- bilbo0s 8y agoThat would be "Old Geezer Topology".
- Qworg 8y agoTo borrow from AI, Good Old Fashioned Algebraic Topology?
- jjtheblunt 8y agoditto
- 2dollars27cents 8y agoDr. Ghrist is awesome. He is also doing a lot of great work opening up learning materials to his undergrad students. https://www.math.upenn.edu/~ghrist/calculus.html https://www.math.upenn.edu/~ghrist/calculus.html
- romwell 8y agoI recommended that book as a source when I was teaching calculus, and still do :) It's a very opinionated book, but that's no a bad thing. And, unlike the Stewart doorstop, it's compact, as a text should be.
- wenc 8y agoTopological Data Analysis was the next big thing a couple of years ago, and it certainly has its applications [1], but the breadth of its applicability may have been overhyped and the energy has fizzled somewhat. [1] https://en.wikipedia.org/wiki/Topological_data_analysis#Applications https://en.wikipedia.org/wiki/Topological_data_analysis#Appl...
- 4thaccount 8y agoKinda like AI is now? I use Graph Theory a lot in my every day job (nothing fancy, but it is useful for visualization, shortest path, and other things). You start to see it show up everywhere too.
- galaxyLogic 8y agoGraph theory applies to social networks, and those are the viaducts of foreign propaganda. Good choice
- romwell 8y agoI have a book on the subject on my desk (several, in fact), and I'm still not sold I'll get to use any of that. Really hope to, though.
- devy 8y ago> Robert Ghrist of UPenn has been at the forefront of bringing topology into applied fields; and has written a good text on the subject. Found this on Dr. John D. Cook's blog. https://www.johndcook.com/blog/2010/09/13/applied-topology-and-dante-an-interview-with-robert-ghrist/ https://www.johndcook.com/blog/2010/09/13/applied-topology-a...
- heimatau 8y agoEverything within Math can be described Topologically. Topology is gaining a lot of traction. It's pretty remarkable.
- galaxyLogic 8y agoI don't know much about it, but isn't Topology just one Category?