Math Adventures with Python by Farrell, Peter -- Read -- Imperial Library of Trantor

Index

Cover Page Title Page Copyright Page Dedication ABOUT THE AUTHOR ABOUT THE TECHNICAL REVIEWER BRIEF CONTENTS CONTENTS IN DETAIL ACKNOWLEDGMENTS INTRODUCTION

The Problem with School Math About This Book Who Should Use This Book What’s in This Book? Downloading and Installing Python Starting IDLE Installing Processing

PART I: HITCHIN’ UP YOUR PYTHON WAGON 1 DRAWING POLYGONS WITH THE TURTLE MODULE

Python’s turtle Module Repeating Code with Loops Creating Shortcuts with Functions Using Variables to Draw Shapes Equilateral Triangles Summary

2 MAKING TEDIOUS ARITHMETIC FUN WITH LISTS AND LOOPS

Basic Operators Data Types in Python Using Lists to Store Values Using Lists in Loops Summation Finding the Average of a List of Numbers Summary

3 GUESSING AND CHECKING WITH CONDITIONALS

Comparison Operators Making Decisions with if and else Statements Using Conditionals to Find Factors Creating a Number-Guessing Game Finding Square Roots Summary

PART 2: RIDING INTO MATH TERRITORY 4 TRANSFORMING AND STORING NUMBERS WITH ALGEBRA

Solving First-Degree Equations Solving Higher-Degree Equations Solving Equations Graphically Summary

5 TRANSFORMING SHAPES WITH GEOMETRY

Drawing a Circle Specifying Location Using Coordinates Transformation Functions Animating Objects Creating an Interactive Rainbow Grid Drawing Complex Patterns Using Triangles Summary

6 CREATING OSCILLATIONS WITH TRIGONOMETRY

Using Trigonometry for Rotations and Oscillations Writing Functions to Draw Polygons Making Sine Waves Creating a Spirograph Program Making Harmonographs Summary

7 COMPLEX NUMBERS

The Complex Coordinate System Adding Complex Numbers Multiplying a Complex Number by i Multiplying Two Complex Numbers Writing the magnitude() Function Creating the Mandelbrot Set Creating the Julia Set Summary

8 USING MATRICES FOR COMPUTER GRAPHICS AND SYSTEMS OF EQUATIONS

What Is a Matrix? Adding Matrices Multiplying Matrices Order Matters in Matrix Multiplication Drawing 2D Shapes Transforming Matrices Transposing Matrices Rotating Matrices in Real Time Creating 3D Shapes Creating the Rotation Matrix Solving Systems of Equations with Matrices Summary

PART 3: BLAZING YOUR OWN TRAIL 9 BUILDING OBJECTS WITH CLASSES

Bouncing Ball Program Grazing Sheep Program Summary

10 CREATING FRACTALS USING RECURSION

The Length of a Coastline Koch Snowflake Sierpinski Triangle Square Fractal Dragon Curve Summary

11 CELLULAR AUTOMATA

Creating a Cellular Automaton Python Lists Are Strange Playing the Game of Life The Elementary Cellular Automaton Summary

12 SOLVING PROBLEMS USING GENETIC ALGORITHMS

Using a Genetic Algorithm to Guess Phrases Solving the Traveling Salesperson Problem (TSP) Summary

INDEX

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