Inside Every Calculus Is A Little Algebra Waiting To Get Out • Erik Meijer • YOW! 2020

This presentation was recorded at YOW! 2020. #GOTOcon #YOW https://yowcon.com Erik Meijer - Director of Engineering at Facebook; "Think Like A Fundamentalist, Code Like A Hacker" RESOURCES https://twitter.com/headinthebox https://www.linkedin.com/in/erikmeijer1 ABSTRACT Because of #DeepLearning, there has been a surge in interest in automatic differentiation, especially from the functional programming community. As a result, there are many recent papers that look at automatic differentiation from a #CategoryTheory perspective. However, Category Theorists have already been looking at differentiation and calculus in general since the late ’60s in the context of Synthetic Differential Geometry, but it seems that this work is largely ignored by those interested in AD. In this talk, we will provide a gentle introduction to the ideas behind SDG, by relating them to dual numbers, and show how it provides a simple axiomatic and purely algebraic approach to (automatic) differentiation and integration. And no worries if you suffer from arithmophobia, there will be plenty of #Kotlin code that turns the math into something fun you can play with for real. [...] RECOMMENDED BOOKS Eric Normand • Grokking Simplicity • https://amzn.to/3gz7o3C Daniel Higginbotham • Clojure for the Brave and True • https://amzn.to/38tZjsF Ulisses Almeida • Learn Functional Programming with Elixir • https://amzn.to/389grn6 Neal Ford • Functional Thinking • https://amzn.to/3DdP35B Petricek & Skeet • Real-World Functional Programming • https://amzn.to/38diF4M https://twitter.com/GOTOcon https://www.linkedin.com/company/goto- https://www.facebook.com/GOTOConferences #Algebra #FunctionalProgramming #Programming #Coding #FunctionalTraining #Functional #KotlinTutorial #SoftwareEngineering #Programming #ErikMeijer #YOWcon Looking for a unique learning experience? Attend the next GOTO conference near you! Get your ticket at https://gotopia.tech Sign up for updates and specials at https://gotopia.tech/newsletter SUBSCRIBE TO OUR CHANNEL - new videos posted almost daily. https://www.youtube.com/user/GotoConferences/?sub_confirmation=1