Learn Physics with Functional Programming

Informationen zum Autor Scott Walck has a PhD in Physics from Lehigh University and has been a professor of physics, including computational physics, to undergraduates for over 20 years at Lebanon Valley College. He has also written academic articles and given talks on the use of functional programming in teaching physics. Klappentext Deepen your understanding of physics by learning to use the Haskell functional programming language. Learn Physics with Functional Programming is your key to unlocking the mysteries of theoretical physics by coding the underlying math in Haskell. You'll use Haskell's type system to check that your code makes sense as you deepen your understanding of Newtonian mechanics and electromagnetic theory, including how to describe and calculate electric and magnetic fields. As you work your way through the book's numerous examples and exercises, you'll learn how to: Encode vectors, derivatives, integrals, scalar fields, vector fields, and differential equationsExpress 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 equationsUse higher-order functions to express numerical integration and approximation methods, such as the Euler method and the finite-difference time-domain (FDTD) methodCreate graphs, models, and animations of physical scenarios like colliding billiard balls, waves in a guitar string, and a proton in a magnetic field Whether you're using this book as a core textbook for a computational physics course or for self-study, Learn Physics with Functional Programming will teach you how to use the power of functional programming to explore the beautiful ideas of theoretical physics. Zusammenfassung Deepen your understanding of physics by learning to use the Haskell functional programming language. Learn Physics with Functional Programming is your key to unlocking the mysteries of theoretical physics by coding the underlying math in Haskell. You'll use Haskell's type system to check that your code makes sense as you deepen your understanding of Newtonian mechanics and electromagnetic theory, including how to describe and calculate electric and magnetic fields. As you work your way through the book's numerous examples and exercises, you'll learn how to: 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 Whether you're using this book as a core textbook for a computational physics course or for self-study, Learn Physics with Functional Programming will teach you how to use the power of functional programming to explore the beautiful ideas of theoretical physics. Inhaltsverzeichnis Acknowledgments Introduction Part I: A Haskell Primer for Physicists Chapter 1: Calculating with Haskell Chapter 2: Writing Basic Functions Chapter 3: Types and Entities Chapter 4: Describing Motion Chapter 5: Working with Lists Chapter 6: Higher-Order Functions Chapter 7: Graphing Functions Chapter 8: Type Classes Chapter 9: Tuples and Type Constructors Chapter 10: Describing Motion in Three Dimensions Chapter 11: Creating Graphs Chapter 12: Creating Stand-Alone Programs Chapter 13: Creating 2D and 3D Animations Part II: Expressing...

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Deepen your understanding of physics by learning to use the Haskell functional programming language.

This book teaches you to solve physics problems using the functional programming paradigm. Ideal for first-time programmers and science aficionados alike, it introduces the Haskell programming language and encourages the writing of beautiful code to match the elegant ideas of theoretical physics.

Haskell's powerful system of types is capable of encoding important mathematical structures like vectors, derivatives, integrals, scalar fields, and differential equations. In addition, you'll explore Newtonian mechanics and electromagnetics, analyze source code, and discover why Haskell's high-order functions and referential transparency serve physics so well.

Contenu
Acknowledgments 
Introduction
Part I: A Haskell Primer for Physicists
Chapter 1: Calculating with Haskell
Chapter 2: Writing Basic Functions
Chapter 3: Types and Entities
Chapter 4: Describing Motion
Chapter 5: Working with Lists
Chapter 6: Higher-Order Functions
Chapter 7: Graphing Functions
Chapter 8: Type Classes
Chapter 9: Tuples and Type Constructors
Chapter 10: Describing Motion in Three Dimensions
Chapter 11: Creating Graphs
Chapter 12: Creating Stand-Alone Programs
Chapter 13: Creating 2D and 3D Animations 
Part II: Expressing Newtonian Mechanics and Solving Problems
Chapter 14: Newton’s Second Law and Differential Equations
Chapter 15: Mechanics in One Dimension
Chapter 16: Mechanics in Three Dimensions
Chapter 17: Satellite, Projectile, and Proton Motion
Chapter 18: A Very Short Primer on Relativity 
Chapter 19: Interacting Particles
Chapter 20: Springs, Billiard Balls, and a Guitar String
Part III: Expressing Electromagnetic Theory and Solving Problems
Chapter 21: Electricity
Chapter 22: Coordinate Systems and Fields
Chapter 23: Curves, Surfaces, and Volumes
Chapter 24: Electric Charge
Chapter 25: Electric Field
Chapter 26: Electric Current
Chapter 27: Magnetic Field
Chapter 28: The Lorentz Force Law
Chapter 29: The Maxwell Equations
Appendix: Installing Haskell
Bibliography
Index