Ask HN: If I work with applied mathematics should I still study analysis?

Post by aisync » Tue, Jan 09, 2018, 5:35 AM UTC

monaghanboy wrote: post #17

tw1010 wrote: post #7

The closest thing to feeling like I had a genuine superpower came after I studied a bunch of pure mathematics – the (richly interconnected, actually conceptually easier to manipulate after you've grown accustomed to them) building blocks of applied mathematics – and was then able to dazzle people who had only been exposed to applied mathematics with genuinely new, and often beautiful, perspectives on things they thou…

I feel the same way. Intellectually it seems like it's been all downhill since leaving grad school :).

Post by hulkisdumb » Fri, Jan 12, 2018, 3:22 AM UTC

irchans wrote: post #9

Subspaces, Point-Set Topology, Compactness, Matrix Spaces, Limits, Linear Dual Spaces, Hilbert Spaces, Banach Spaces, Subgradients, Gâteaux derivative, Connected Sets, Path Connected Sets, Cauchy Sequences, Power Series, Taylor's Theorem, Properties of Monotonic Functions, Linearity, Hessians, Jacobians, Stone-Weirstrass, Heine-Borel, Fixed Point Theorems, Contraction Principle, Lebesgue Measure, Measurable Functions…