JB - TWF #244: When was the First Calculus Textbook Written?

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SUMMARY

The first calculus textbook was written in the 17th century, specifically in Latin, as discussed in JB's TWF #244. The conversation highlights the relevance of game theory in analyzing problems such as Euler’s bridges, which could have benefited from strategic analysis in the 1700s. Geert Jan Olsder's 2005 work on train routing schedules illustrates a modern application of these concepts. Additionally, the discussion touches on Braess' paradox in traffic flow, emphasizing ongoing challenges in mathematical modeling.

PREREQUISITES
  • Understanding of calculus history and foundational texts
  • Familiarity with game theory principles
  • Knowledge of Euler’s bridges problem
  • Awareness of Braess' paradox in traffic flow analysis
NEXT STEPS
  • Research the historical context of calculus textbooks, focusing on the first editions
  • Explore game theory applications in transportation and logistics
  • Study Euler’s bridges and their implications in modern mathematics
  • Investigate Braess' paradox and its effects on traffic management strategies
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Mathematicians, educators, historians of mathematics, and professionals in transportation planning will benefit from this discussion.

marcus
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In this edition JB asks the question

When was the first calculus textbook written - and in what language?

and gives an unexpected answer.

Also there is an account of a conversation in a café in Toronto about how to measure the size of a category. It ends with the observation that

We're still just learning to count.
 
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Hi Marcus:

As usual John Baez has a great and interesting blog in TWF 244.

I am fascinated with item 5 which discusses Euler’s bridges. From my perspective this is a problem ideal for the strategy analysis of game theory had such a tool been available in the 1700s.

Geert Jan Olsder [mathematics] Delft University in 2005 presented a variant of this problem as a train routing schedule using game theory.
MAX PLUS IN HET (TREIN)VERKEER ...[Text in English]
http://webserv.nhl.nl/~kamminga/wintersymposium/Olsder2005.pdf

There does exist the possibility of the Braess' paradox in traffic flow problems.
http://en.wikipedia.org/wiki/Braess'_paradox
 
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