Learning math from a historical perspective?

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Discussion Overview

The discussion revolves around the interest in learning mathematics through a historical lens, starting from Euclid and progressing to Descartes. Participants share reading lists and seek resources for accessing historical mathematical texts, while also considering the prerequisites for understanding these works.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant expresses a desire to learn math historically, listing specific texts from Euclid to Descartes and seeking a website for finding old books.
  • Another participant suggests using Google Books to search for historical texts, providing a specific example of how to find Apollonius' work.
  • A different participant recommends searching for university courses on the history of mathematics to compile a reading list of historical documents.
  • One participant mentions the book "God Created the Integers" by Stephen Hawking as a valuable resource that includes excerpts from various mathematicians' works.

Areas of Agreement / Disagreement

Participants generally agree on the interest in historical mathematical texts and the need for resources to access them. However, there is no consensus on the best approach to understanding these texts or the specific resources to use.

Contextual Notes

Some participants note the potential difficulty in finding older historical books, particularly regarding translations and availability. There is also mention of the importance of having a foundational understanding of abstract algebra or real analysis to better comprehend the historical readings, though this is not universally agreed upon.

Who May Find This Useful

This discussion may be useful for individuals interested in the historical development of mathematics, educators seeking resources for teaching, and students looking to deepen their understanding of mathematical concepts through historical texts.

homeylova223
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I am interested in learning math from a historical perspective. Starting with euclid and working myself up to descartes. I am thinking of a reading list to use and this is what I think I will use. I have taken math classes all the way up to calc 2 so I am not an expert and I am doing this just as side project.

1.Euclid Elements

2.The works of archimedes

3. Apollonious Conic sections

4. Diophantus Arithmetica

5. Fibbionaci Libri abbaci and his book on squares

6.Ars Magna

7. The geometry of Rene Descartes

And obviously some book on trigonometry.

The only thing is that while some of these books are cheap older historical books are difficult to find and may not be translated into english and I dislike reading books online I do not know why.

What I need is a website to find old books.
 
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You can also google "history of math course" and you'll find a couple universities which teach the course. Just scan through the different course webpages and I'm sure you can accumulate a pretty good list of whatever historical 'documents', or books, that you'd like to read.

Note: if you really want to understand the historical readings, it's generally recommended that you know basic abstract algebra or real analysis, although it of course depends on the book you're reading. A basic understanding of math from the main fields should make you able to understand them at a better perspective.
 
I liked the book "God created the integers" by Stephen Hawking. It tells you a bit about the person, then extracts from their best work translated into english. It has a bunch of the people you mentioned too.
 

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