Timeline for What are the differences between popular undergraduate abstract algebra books?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 29, 2023 at 16:44 | comment | added | Alper | I found the Fraleigh book to be a bit meh and switched to Gallian which is a lot better. | |
| Aug 21, 2014 at 16:19 | comment | added | paul garrett | I'd claim that Galois theory is used throughout mathematics, often without fanfare, routinely, much as the ideas of "group" or "field" or "derivative" or "vector space" are. Apart from number fields, Galois theory describes the structure of field extensions and intermediate fields quite generally, and indispensably. The finite-field case is much used in crypto, and in error-correcting codes. Algebraic geometry very often uses Galois theory. There's a "differential Galois theory" applicable to differential equations... Galois theory is ubiquitous. | |
| Aug 21, 2014 at 16:07 | comment | added | MSmedberg | Maybe you have a better sense than I do, @paulgarrett; what contemporary areas of active research are consumers of Galois theory? (Not more abstract Galois connections, I mean, but concrete Galois theory of the algebraic numbers.) I personally worked with arithmetic dynamicists wearing logician hats who used Galois theory, but I include them under number theorists for the purposes of this discussion. | |
| Aug 20, 2014 at 16:04 | review | Late answers | |||
| Aug 20, 2014 at 23:51 | |||||
| Aug 20, 2014 at 15:53 | comment | added | paul garrett | May not be accurate to claim that "it's mostly number theorists who need/use Galois theory these days". | |
| Aug 20, 2014 at 15:48 | review | First posts | |||
| Aug 20, 2014 at 20:39 | |||||
| Aug 20, 2014 at 15:48 | history | answered | MSmedberg | CC BY-SA 3.0 |