فهرست مطالب

• Cover Page
• Title Page
• Copyright Page
• Dedication
• About the Author
• About the Technical Reviewer
• Brief Contents
• Contents in Detail
• Acknowledgments
• Introduction
• I A Haskell Primer For Physicists
• Chapter 1 CALCULATING WITH HASKELL
• A Kinematics Problem
• The Interactive Compiler
• Numeric Functions
• Operators
• Functions with Two Arguments
• Numbers in Haskell
• Approximate Calculation
• Errors
• Getting Help and Quitting
• More Information
• Summary
• Exercises
• Chapter 2 WRITING BASIC FUNCTIONS
• Constants, Functions, and Types
• How We Talk About Functions
• Anonymous Functions
• Composing Functions
• Variable Not in Scope Error
• Summary
• Exercises
• Chapter 3 TYPES AND ENTITIES
• Basic Types
• Function Types
• Summary
• Exercises
• Chapter 4 DESCRIBING MOTION
• Position and Velocity on an Air Track
• Types for Physical Quantities
• Introducing Derivatives
• Derivatives in Haskell
• Modeling the Car’s Position and Velocity
• Modeling Acceleration
• Approximate Algorithms and Finite Precision
• Summary
• Exercises
• Chapter 5 WORKING WITH LISTS
• List Basics
• Type Variables
• Type Conversion
• The Length of Lists
• A String Is a List of Characters
• List Comprehensions
• Infinite Lists
• List Constructors and Pattern Matching
• Summary
• Exercises
• Chapter 6 HIGHER-ORDER FUNCTIONS
• How to Think About Functions with Parameters
• Mapping a Function Over a List
• Iteration and Recursion
• Anonymous Higher-Order Functions
• Operators as Higher-Order Functions
• Combinators
• Predicate-Based Higher-Order Functions
• Numerical Integration
• Summary
• Exercises
• Chapter 7 GRAPHING FUNCTIONS
• Using Library Modules
• Plotting
• Summary
• Exercises
• Chapter 8 TYPE CLASSES
• Type Classes and Numbers
• Type Classes from the Prelude
• Exponentiation and Type Classes
• Sections
• Example of Type Classes and Plotting
• Summary
• Exercises
• Chapter 9 TUPLES AND TYPE CONSTRUCTORS
• Pairs
• Currying a Function of Two Variables
• Triples
• Comparing Lists and Tuples
• Maybe Types
• Lists of Pairs
• Tuples and List Comprehensions
• Type Constructors and Kinds
• Numerical Integration Redux
• Summary
• Exercises
• Chapter 10 DESCRIBING MOTION IN THREE DIMENSIONS
• Three-Dimensional Vectors
• Coordinate Systems
• Kinematics in 3D
• Making Your Own Data Type
• Defining a New Data Type for 3D Vectors
• Summary
• Exercises
• Chapter 11 CREATING GRAPHS
• Title and Axis Labels
• Other Labels
• Plotting Data
• Multiple Curves on One Set of Axes
• Controlling the Plot Ranges
• Making a Key
• Summary
• Exercises
• Chapter 12 CREATING STAND-ALONE PROGRAMS
• Using GHC to Make a Stand-Alone Program
• Using Cabal to Make a Stand-Alone Program
• Using Stack to Make a Stand-Alone Program
• Summary
• Exercises
• Chapter 13 CREATING 2D AND 3D ANIMATIONS
• 2D Animation
• 3D Animation
• Summary
• Exercises
• IΙ EXPRESSING NEWTONIAN MECHANICS AND SOLVING PROBLEMS
• Chapter 14 NEWTON’S SECOND LAW AND DIFFERENTIAL EQUATIONS
• Newton’s First Law
• Newton’s Second Law in One Dimension
• Second Law with Constant Forces
• Second Law with Forces That Depend Only on Time
• Air Resistance
• Second Law with Forces That Depend Only on Velocity
• The State of a Physical System
• Second Law with Forces That Depend on Time and Velocity
• Example: Pedaling and Coasting with Air Resistance
• Summary
• Exercises
• Chapter 15 MECHANICS IN ONE DIMENSION
• Introductory Code
• Forces That Depend on Time, Position, and Velocity
• A Damped Harmonic Oscillator
• Euler-Cromer Method
• Solving Differential Equations
• Summary
• Exercises
• Chapter 16 MECHANICS IN THREE DIMENSIONS
• Introductory Code
• Newton’s Second Law in Three Dimensions
• The State of One Particle
• Solving Newton’s Second Law
• One-Body Forces
• State Update for One Particle
• Preparing for Animation
• Summary
• Exercises