.

0 (hodnocen0 x )

BK

Příručka

San Francisco : No Starch Press, [2015]

xvii, 244 stran : ilustrace ; 24 cm

ISBN 978-1-59327-640-9 (brožováno)

Obsahuje rejstřík

Popsáno podle 3. dotisku

001461770

ACKNOWLEDGMENTS XIII // INTRODUCTION XV // Who Should Read This Book ...xvi // What’s in This Book? ...xvi // Scripts, Solutions, and Hints ...xvii // 1 WORKING WITH NUMBERS 1 // Basic Mathematical Operations ...1 // Labels: Attaching Names to Numbers ...4 // Different Kinds of Numbers ...4 // Working with Fractions ...5 // Complex Numbers ...6 // Getting User Input ...8 // Handling Exceptions and Invalid Input ...9 // Fractions and Complex Numbers as Input ...11 // Writing Programs That Do the Math for You ...12 // Calculating the Factors of an Integer ...12 // Generating Multiplication Tables ...15 // Converting Units of Measurement ...17 // Finding the Roots of a Quadratic Equation ...20 // What You Learned ...22 // Programming Challenges ...22 // #1 : Even-Odd Vending Machine ...22 // #2: Enhanced Multiplication Table Generator ...23 // #3: Enhanced Unit Converter ...23 // #4: Fraction Calculator ...23 // #5: Give Exit Power to the User ...24 // 2 VISUALIZING DATA WITH GRAPHS 27 // Understanding the Cartesian Coordinate Plane ...28 // Working with Lists and Tuples ...29 // Iterating over a List or Tuple ...31 // Creating Graphs with Matplotlib ...32 // Marking Points on Your Graph ...33 // Graphing the Average Annual Temperature in New York City ...35 // Comparing the Monthly Temperature Trends of New York City ...38 // Customizing Graphs ...41 // Saving the Plots ...45 // Plotting with Formulas ...46 // Newton’s Law of Universal Gravitation ...46 // Projectile Motion ...48 // What You Learned ...54 // Programming Challenges ...55 // #1 : How Does the Temperature Vary During the Day? ...55 // #2: Exploring a Quadratic Function Visually ...55 // #3: Enhanced Projectile Trajectory Comparison Program ...56 // #4: Visualizing Your Expenses ...56 // #5: Exploring the Relationship Between // the Fibonacci Sequence and the Golden Ratio ...59 //

3 DESCRIBING DATA WITH STATISTICS 61 // Finding the Mean ...52 // Finding the Median ...53 // Finding the Mode and Creating a Frequency Table ...65 // Finding the Most Common Elements ...66 // Finding the Mode ...67 // Creating a Frequency Table ...69 // Measuring the Dispersion ...71 // Finding the Range of a Set of Numbers ...71 // Finding the Variance and Standard Deviation ...72 // Calculating the Correlation Between Two Data Sets ...75 // Calculating the Correlation Coefficient ...76 // High School Grades and Performance on College Admission Tests ...78 // Scatter Plots ...81 // Reading Data from Files ...83 // Reading Data from a Text File ...84 // Reading Data from a CSV File ...86 // What You Learned ...89 // Programming Challenges ...89 // #1 : Better Correlation Coefficient-Finding Program ...89 // #2: Statistics Calculator ...89 // #3: Experiment with Other CSV Data ...89 // #4: Finding the Percentile ...89 // #5: Creating a Grouped Frequency Table ...90 // 4 ALGEBRA AND SYMBOLIC MATH WITH SYMPY 93 // Defining Symbols and Symbolic Operations ...94 // Working with Expressions ...96 // Factorizing and Expanding Expressions ...96 // Pretty Printing ...97 // Substituting in Values ...100 // Converting Strings to Mathematical Expressions ...103 // Solving Equations ...?5 // Solving Quadratic Equations ...106 // Solving for One Variable in Terms of Others ...106 // Solving a System of Linear Equations ...108 // Plotting Using SymPy ...?8 // Plotting Expressions Input by the User ...111l // Plotting Multiple Functions ...113 // What You Learned ...115 // Programming Challenges ...// #1 : Factor Finder ...115 // #2: Graphical Equation Solver ...115 // #3: Summing a Series ...116 // #4: Solving Single-Variable Inequalities ...117 // Playing with sets AND PROBABILITY 121 // What’s a Set? ...121 // Set Construction ...122 // Subsets, Supersets, and Power Sets ...124 //

Set Operations ...126 // Probability ...131 // Probability of Event A or Event ? ...133 // Probability of Event A and Event ? ...134 // Generating Random Numbers ...134 // Nonuniform Random Numbers ...137 // What You Learned ...140 // Programming Challenges ...140 // #1 : Using Venn Diagrams to Visualize Relationships Between Sets ...140 // #2: Law of Large Numbers ...143 // #3: How Many Tosses Before You Run Out of Money? ...144 // #4: Shuffling a Deck of Cards ...144 // #5: Estimating the Area of a Circle ...145 // 6 DRAWING GEOMETRIC SHAPES AND FRACTALS 149 // Drawing Geometric Shapes with Matplotlib’s Patches ...150 // Drawing a Circle ...151 // Creating Animated Figures ...153 // Animating a Projectile’s Trajectory ...156 // Drawing Fractals ...158 // Transformations of Points in a Plane ...158 // Drawing the Barnsley Fern ...163 // What You Learned ...168 // Programming Challenges ...168 // #1 : Packing Circles into a Square ...168 // #2: Drawing the Sierpinski Triangle ...170 // #3: Exploring Hénon’s Function ...171 // #4: Drawing the Mandelbrot Set ...172 // 7 SOLVING CALCULUS PROBLEMS 177 // What Is a Function? ...178 // Domain and Range of a Function ...178 // An Overview of Common Mathematical Functions ...178 // Assumptions in SymPy ...180 // Finding the Limit of Functions ...181 // Continuous Compound Interest ...183 // Instantaneous Rate of Change ...184 // Finding the Derivative of Functions ...185 // A Derivative Calculator ...186 // Calculating Partial Derivatives . ...187 // Higher-Order Derivatives and Finding the Maxima and Minima ...188 // Finding the Global Maximum Using Gradient Ascent ...191 // A Generic Program for Gradient Ascent ...195 // A Word of Warning About the Initial Value ...196 // The Role of the Step Size and Epsilon ...197 // Finding the Integrals of Functions ...200 //

Probability Density Functions ...201 // What You Learned ...205 // Programming Challenges ...205 // #1 : Verify the Continuity of a Function at a Point ...205 // #2: Implement the Gradient Descent ...205 // #3: Area Between Two Curves ...206 // #4: Finding the Length of a Curve ...207 // AFTERWORD 209 // Things to Explore Next ...209 // Project Euler ...210 // Python Documentation ...210 // Books ...210 // Getting Help ...211 // Conclusion ...211 // A // SOFTWARE INSTALLATION 213 // Microsoft Windows ...214 // Updating SymPy .... 215 // Installing matplotlib-venn ...215 // Starting the Python Shell ...215 // Linux ...216 // Updating SymPy ...217 // Installing matplotlib-venn ...217 // Starting the Python Shell ...217 // Mac OS X ...217 // Updating SymPy ...220 // Installing matplotlib-venn ...220 // Starting the Python Shell ...220 // OVERVIEW OF PYTHON TOPICS 221 // if _name__ == ’__main_’ ...221 // List Comprehensions ...223 // Dictionary Data Structure ...224 // Multiple Return Values ...226 // Exception Handling ...228 // Specifying Multiple Exception Types ...228 // The else Block ...230 // Reading Files in Python ...230 // Reading All the Lines at Once ...232 // Specifying the Filename as Input ...232 // Handling Errors When Reading Files ...232 // Reusing Code ...235 // INDEX 237