Brief Contents -- Contents in Detail -- Acknowledgments -- Introduction -- Who Should Read This Book -- What's in This Book? -- Scripts, Solutions, and Hints -- Chapter 1: Working with Numbers -- Basic Mathematical Operations -- Labels: Attaching Names to Numbers -- Different Kinds of Numbers -- Working with Fractions -- Complex Numbers -- Getting User Input -- Handling Exceptions and Invalid Input -- Fractions and Complex Numbers as Input -- Writing Programs That Do the Math for You -- Calculating the Factors of an Integer -- Generating Multiplication Tables -- Converting Units of Measurement -- Finding the Roots of a Quadratic Equation -- What You Learned -- Programming Challenges -- Challenge 1: Even-Odd Vending Machine -- Challenge 2: Enhanced Multiplication Table Generator -- Challenge 3: Enhanced Unit Converter -- Challenge 4: Fraction Calculator -- Challenge 5: Give Exit Power to the User -- Chapter 2: Visualizing Data with Graphs -- Understanding the Cartesian Coordinate Plane -- Working with Lists and Tuples -- Iterating over a List or Tuple -- Creating Graphs with Matplotlib -- Marking Points on Your Graph -- Graphing the Average Annual Temperature in New York City -- Comparing the Monthly Temperature Trends of New York City -- Customizing Graphs -- Saving the Plots -- Plotting with Formulas -- Newton's Law of Universal Gravitation -- Projectile Motion -- What You Learned -- Programming Challenges -- Challenge 1: How Does the Temperature Vary During the Day? -- Challenge 2: Exploring a Quadratic Function Visually -- Challenge 3: Enhanced Projectile Trajectory Comparison Program -- Challenge 4: Visualizing Your Expenses -- Challenge 5: Exploring the Relationship Between the Fibonacci Sequence and the Golden Ratio -- Chapter 3: Describing Data with Statistics -- Finding the Mean -- Finding the Median.

Finding the Mode and Creating a Frequency Table -- Finding the Most Common Elements -- Finding the Mode -- Creating a Frequency Table -- Measuring the Dispersion -- Finding the Range of a Set of Numbers -- Finding the Variance and Standard Deviation -- Calculating the Correlation Between Two Data Sets -- Calculating the Correlation Coefficient -- High School Grades and Performance on College Admission Tests -- Scatter Plots -- Reading Data from Files -- Reading Data from a Text File -- Reading Data from a CSV File -- What You Learned -- Programming Challenges -- Challenge 1: Better Correlation Coefficient-Finding Program -- Challenge 2: Statistics Calculator -- Challenge 3: Experiment with Other CSV Data -- Challenge 4: Finding the Percentile -- Challenge 5: Creating a Grouped Frequency Table -- Chapter 4: Algebra and Symbolic Math with SymPy -- Defining Symbols and Symbolic Operations -- Working with Expressions -- Factorizing and Expanding Expressions -- Pretty Printing -- Substituting in Values -- Converting Strings to Mathematical Expressions -- Solving Equations -- Solving Quadratic Equations -- Solving for One Variable in Terms of Others -- Solving a System of Linear Equations -- Plotting Using SymPy -- Plotting Expressions Input by the User -- Plotting Multiple Functions -- What You Learned -- Programming Challenges -- Challenge 1: Factor Finder -- Challenge 2: Graphical Equation Solver -- Challenge 3: Summing a Series -- Challenge 4: Solving Single-Variable Inequalities -- Chapter 5: Playing with Sets and Probability -- What's a Set? -- Set Construction -- Subsets, Supersets, and Power Sets -- Set Operations -- Probability -- Probability of Event A or Event B -- Probability of Event A and Event B -- Generating Random Numbers -- Nonuniform Random Numbers -- What You Learned -- Programming Challenges.

Challenge 1: Using Venn Diagrams to Visualize Relationships Between Sets -- Challenge 2: Law of Large Numbers -- Challenge 3: How Many Tosses Before You Run Out of Money? -- Challenge 4: Shuffling a Deck of Cards -- Challenge 5: Estimating the Area of a Circle -- Chapter 6: Drawing Geometric Shapes and Fractals -- Drawing Geometric Shapes with Matplotlib's Patches -- Drawing a Circle -- Creating Animated Figures -- Animating a Projectile's Trajectory -- Drawing Fractals -- Transformations of Points in a Plane -- Drawing the Barnsley Fern -- What You Learned -- Programming Challenges -- Challenge 1: Packing Circles into a Square -- Challenge 2: Drawing the Sierpinski Triangle -- Challenge 3: Exploring Hénon's Function -- Challenge 4: Drawing the Mandelbrot Set -- Chapter 7: Solving Calculus Problems -- What Is a Function? -- Domain and Range of a Function -- An Overview of Common Mathematical Functions -- Assumptions in SymPy -- Finding the Limit of Functions -- Continuous Compound Interest -- Instantaneous Rate of Change -- Finding the Derivative of Functions -- A Derivative Calculator -- Calculating Partial Derivatives -- Higher-Order Derivatives and Finding the Maxima and Minima -- Finding the Global Maximum Using Gradient Ascent -- A Generic Program for Gradient Ascent -- A Word of Warning About the Initial Value -- The Role of the Step Size and Epsilon -- Finding the Integrals of Functions -- Probability Density Functions -- What You Learned -- Programming Challenges -- Challenge 1: Verify the Continuity of a Function at a Point -- Challenge 2: Implement the Gradient Descent -- Challenge 3: Area Between Two Curves -- Challenge 4: Finding the Length of a Curve -- Afterword -- Things to Explore Next -- Project Euler -- Python Documentation -- Books -- Getting Help -- Conclusion -- Appendix A: Software Installation -- Microsoft Windows 7.

Installing SymPy -- Installing matplotlib-venn -- Starting the Python Shell -- Linux -- Updating SymPy -- Installing matplotlib-venn -- Starting the Python Shell -- Mac OS X -- Updating SymPy -- Installing matplotlib-venn -- Starting the Python Shell -- Appendix B: Overview of Python Topics -- if __name__ == '__main__' -- List Comprehensions -- Dictionary Data Structure -- Multiple Return Values -- Exception Handling -- Specifying Multiple Exception Types -- The else Block -- Reading Files in Python -- Reading All the Lines at Once -- Specifying the Filename as Input -- Handling Errors When Reading Files -- Reusing Code -- Index -- Resources -- More No-nonsense Books from No Starch Press! -- About the Author.