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History of Maths for Beginners

162 点作者 kreig2 个月前

7 条评论

jaymzcampbell2 个月前
If you&#x27;re interested in this sort of stuff I highly recommend Stillwell&#x27;s &quot;Mathematics and it&#x27;s History&quot; (<a href="https:&#x2F;&#x2F;link.springer.com&#x2F;book&#x2F;10.1007&#x2F;978-1-4419-6053-5" rel="nofollow">https:&#x2F;&#x2F;link.springer.com&#x2F;book&#x2F;10.1007&#x2F;978-1-4419-6053-5</a>) - it&#x27;s a wonderful mix of quite low level explicit mathematics with contextual history; along with Stewarts &quot;Concept of Mathematics&quot; (<a href="https:&#x2F;&#x2F;archive.org&#x2F;details&#x2F;ConceptsofmodernmathematicsStewart1981" rel="nofollow">https:&#x2F;&#x2F;archive.org&#x2F;details&#x2F;ConceptsofmodernmathematicsStewa...</a>).<p>When you first study mathematics at undergraduate and early post-grad level there is a sense of being overwhelmed with how on earth anyone figured this out. When you read the messy history of maths, and understand it is an organic, growing field, you feel a little less like an imposter struggling to understand how anyone could&#x27;ve come up with this.<p>Reading these books (primarily as a software engineer), made me feel better about not immediately getting certain concepts, because it&#x27;s likely the people these theorems are named after didn&#x27;t get it either, to begin with. They refined it, they collaborated (like a pull request almost) and eventually everything got very neatly packaged up into a set of theorems. Mathematics is rarely taught in that way, I wish more of the &quot;human&quot; aspect was part of the pedagogical process. I think it might temper some of the fear people have.
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godelski2 个月前
I cannot recommend enough the podcast <i>Opinionated History of Mathematics</i> by Viktor Blåsjö<p>What&#x27;s great about it is that it helps put you in the shoes of the people solving the problems at these times. So it secretly teaches you how to solve problems. He also attacks some of the claims of some historians which are a bit obtuse. The arguments are really well founded and if you&#x27;re wondering how ancients solved extremely complex math while never inventing the tools you&#x27;d think are needed to solve them, then this will answer a lot of that. I think it&#x27;ll make you see a lot of problems in a different light. It also is just a lot of fun and can be pretty funny.<p><a href="https:&#x2F;&#x2F;intellectualmathematics.com&#x2F;opinionated-history-of-mathematics&#x2F;" rel="nofollow">https:&#x2F;&#x2F;intellectualmathematics.com&#x2F;opinionated-history-of-m...</a>
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rottc0dd2 个月前
For calculus history, one of my earliest books I read was &quot;Calculus wars&quot; (<a href="https:&#x2F;&#x2F;www.amazon.com&#x2F;Calculus-Wars-Jason-Socrates-Bardi&#x2F;dp&#x2F;1560259922" rel="nofollow">https:&#x2F;&#x2F;www.amazon.com&#x2F;Calculus-Wars-Jason-Socrates-Bardi&#x2F;dp...</a>). This also is a essentially book about the Newton and G W Leibneiz. But, it is pretty much a deep dive into life of these two men. Highly recommended.<p>Another great book is &quot;Infinite Powers&quot; by Steven Strogatz (<a href="https:&#x2F;&#x2F;www.amazon.com&#x2F;Infinite-Powers-Calculus-Reveals-Universe&#x2F;dp&#x2F;0358299284" rel="nofollow">https:&#x2F;&#x2F;www.amazon.com&#x2F;Infinite-Powers-Calculus-Reveals-Univ...</a>).
andrewinardeer2 个月前
Sidenote today (or tomorrow depending where you are), on Friday 14th March the United Nations observes &#x27;International Day of Mathematics&#x27;<p><a href="https:&#x2F;&#x2F;www.unesco.org&#x2F;en&#x2F;days&#x2F;mathematics" rel="nofollow">https:&#x2F;&#x2F;www.unesco.org&#x2F;en&#x2F;days&#x2F;mathematics</a>
__rito__2 个月前
When it comes to mathematical concepts- to understand everything broadly, connected to its context, and to understant &quot;what&#x27;s the point?&quot;, nothing tops this book- <i>Mathematics: Its Content, Methods and Meaning</i> (3 Volumes in One) by Aleksandrov, Kolmogorov, and Lavrentev [0].<p>[0]: <a href="https:&#x2F;&#x2F;www.amazon.com&#x2F;Mathematics-Content-Methods-Meaning-Volumes&#x2F;dp&#x2F;0486409163" rel="nofollow">https:&#x2F;&#x2F;www.amazon.com&#x2F;Mathematics-Content-Methods-Meaning-V...</a>
aoki2 个月前
I laughed when I got to the end of this wall of text, full of “ahistorical fantasies” and “what the fuck moment,” and read: “Despite my negative comment about some points in the book, I would actually recommend it as a reasonably priced, mostly accurate, introduction to the history of mathematics. … A good jumping off point for somebody developing an interest in the discipline.”
amriksohata2 个月前
_By the 9th century A.D., the Indians had made a conceptual leap that ranks as one of the most important mathematical events of all time. They had begun to recognise sunya_<p>Bit misleading as sunya or zero was invented in india, not recognised, there is a difference.