441
edits
Read: Difference between revisions
m
no edit summary
(→General Mathematics: replaced topology a categorical approach with Brown's topology and groupoids) |
mNo edit summary |
||
| Line 5: | Line 5: | ||
== Philosophy == | == Philosophy == | ||
Our point of view is that the texts typically used in physics and especially mathematics degree tracks are window dressing for the real job of being a mathematical physicist or even an engineer. Excellent texts meet a certain standard we set here; Texts should be concise to respect the reader's time and occupations, interdisciplinary, at least relating mathematical tools between areas of mathematics: | Our point of view is that the texts typically used in physics and especially mathematics degree tracks are window dressing for the real job of being a mathematical physicist or even an engineer. Excellent texts meet a certain standard we set here; Texts should be concise to respect the reader's time and occupations, interdisciplinary, at least relating mathematical tools between areas of mathematics: | ||
* Later volumes of Landau on emergent/less fundamental physics refer to more engineering applications and numerical analysis (vols. 5-10) | |||
* Lang's algebra text contains examples and applications in geometry and number theory throughout | * Lang's algebra text contains examples and applications in geometry and number theory throughout | ||
* Vaisman emphasizes the typically algebro-geometric method of sheaves in a differential geometry setting and to develop the theory of multiple sorts of manifolds | * Vaisman emphasizes the typically algebro-geometric method of sheaves in a differential geometry setting and to develop the theory of multiple sorts of manifolds | ||