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A comment on The dirty secret of mathematics: We make it up as we go along (2018). Parent comment

Re:The dirty secret of mathematics: We make it up as we go a... by Qem on Friday September 16, 2022 @07:52AM (#32864860)
Can you recommend a introductory calculus book that builds it up from dual numbers?
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Re:The dirty secret of mathematics: We make it up as we go a... by enriquto on Friday September 16, 2022 @08:15AM (#32865079)
The Silvanus P. Thompson book suggested by the sibling comment is lovely and very clear.

For a more algebraic treatment, and its important applications to automatic differentiation, I'd suggest starting with the relevant wikipedia articles:

https://en.wikipedia.org/wiki/Dual_number

https://en.wikipedia.org/wiki/Automatic_differentiation

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Re:The dirty secret of mathematics: We make it up as we go a... by zozbot234 on Friday September 16, 2022 @08:01AM (#32864936)
You could try Calculus made easy by S. P. Thompson.
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