Timeline for What are examples of books which teach the practice of mathematics?
Current License: CC BY-SA 4.0
26 events
| when toggle format | what | by | license | comment | |
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| Apr 19, 2023 at 13:44 | comment | added | Michael Hardy | $\ldots\,$and then getting into limits of difference quotients, as in $\lim_{\Delta x\,\to\,0} \Delta y/\Delta x = dy/dx.$ Trying to teach all the technical prerequisites to a subject before beginning to teach the subject is the way almost the whole mathematics curriculum is organized from kindergarten through graduate study, and is OBVIOUSLY the cause of most of the popular superstitions about mathematics, to the effect that doing mathematics consists of mechanically applying memorized algorithms, or that mathematics is a subject in which everything is already known. $\qquad$ | |
| Apr 19, 2023 at 13:42 | comment | added | Michael Hardy | $\ldots\,$that subject spend a few hundred pages on technical preliminaries before getting very very slowly into what the subject is actually about. And that leads us to another division between kinds of books for students: there are the very many that undertake to teach all the various technical preliminaries to a subject before getting into the actual subject matter in which those preliminaries are used. E.g. let's consider a variety of different sorts of limits before getting to derivatives, as opposed to first learning thoroughly about applications of difference quotients$\,\ldots\qquad$ | |
| Apr 19, 2023 at 13:39 | comment | added | Michael Hardy | Maybe any reasonable division of books for students into categories similar in spirit to this one ought to include more than two categories. There are (few) books that go for breadth rather than depth: perhaps the textbooks for certain lower-level undergraduate courses fit here, doing some discrete math of various sorts, some topology, some statistics, etc., a lot of it with a view to applications. There is also Boolos & Jeffrey's Computability and Logic, which is good for any mathematician who wants to find out what mathematical logic is about. Other introductory books on$\,\ldots\qquad$ | |
| Apr 19, 2023 at 13:35 | answer | added | Michael Hardy | timeline score: -1 | |
| Jan 13, 2019 at 2:30 | review | Close votes | |||
| Jan 13, 2019 at 10:23 | |||||
| Sep 24, 2018 at 18:02 | answer | added | Scrope | timeline score: 2 | |
| Sep 3, 2018 at 15:31 | comment | added | mweiss | There is a related question at math.stackexchange.com/questions/828458/…. | |
| Sep 3, 2018 at 5:25 | comment | added | user44143 | Thurston’s “On Proof and Progress in Mathematics” is not a book, but still a classic text on this topic. arxiv.org/abs/math/9404236 | |
| Sep 2, 2018 at 23:19 | answer | added | syntonicC | timeline score: 4 | |
| Sep 2, 2018 at 18:25 | answer | added | Andrea | timeline score: 5 | |
| Sep 2, 2018 at 18:20 | answer | added | Duchamp Gérard H. E. | timeline score: 0 | |
| Sep 2, 2018 at 17:42 | answer | added | Lubin | timeline score: 12 | |
| Sep 2, 2018 at 17:30 | answer | added | Zach Teitler | timeline score: 14 | |
| Sep 2, 2018 at 16:41 | answer | added | Johann Cigler | timeline score: 0 | |
| Sep 2, 2018 at 14:59 | history | made wiki | Post Made Community Wiki by Todd Trimble | ||
| Sep 2, 2018 at 14:47 | answer | added | Kimball | timeline score: 3 | |
| Sep 2, 2018 at 14:22 | answer | added | Joseph O'Rourke | timeline score: 3 | |
| Sep 2, 2018 at 14:15 | review | Close votes | |||
| Sep 3, 2018 at 13:17 | |||||
| Sep 2, 2018 at 13:35 | answer | added | Alexandre Eremenko | timeline score: 26 | |
| Sep 2, 2018 at 13:28 | comment | added | user57432 | How about this book? | |
| Sep 2, 2018 at 12:10 | answer | added | Goldstern | timeline score: 10 | |
| Sep 2, 2018 at 11:49 | answer | added | Gerald Edgar | timeline score: 4 | |
| Sep 2, 2018 at 11:15 | answer | added | Francois Ziegler | timeline score: -1 | |
| Sep 2, 2018 at 10:57 | history | edited | Allawonder | CC BY-SA 4.0 |
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| Sep 2, 2018 at 9:18 | answer | added | Stefano Gogioso | timeline score: 8 | |
| Sep 2, 2018 at 7:57 | history | asked | Allawonder | CC BY-SA 4.0 |