This book sets out to unlock the mysteries of theoretical physics by coding the underlying math in Haskell. Scott Walck shows how to use Haskell’s type system to check that your code makes sense. Walck explains Newtonian mechanics and electromagnetic theory, including how to describe and calculate electric and magnetic fields.
Author: Scott Walck Publisher: No Starch Press Date: January 2023 Pages: 648 ISBN: 978-1718501669 Print:1718501668 Kindle: B09WJWSFW8 Audience: People interested in physics Level: Intermediate/Advanced Category: Other Languages and Mathematics

Topics include:
- Encode vectors, derivatives, integrals, scalar fields, vector fields, and differential equations
- Express fundamental physical principles using the logic of Haskell’s type system to clarify Newton’s second law, Coulomb’s law, the Biot-Savart law, and the Maxwell equations
- Use higher-order functions to express numerical integration and approximation methods, such as the Euler method and the finite-difference time-domain (FDTD) method
- Create graphs, models, and animations of physical scenarios like colliding billiard balls, waves in a guitar string, and a proton in a magnetic field
For recommendations of functional programming books see First Class Functional Programming Books in our Programmer's Bookshelf section.
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