Python Doing Math

Python Doing Math

written by sean base on following books

Github | https://github.com/newsteinking/High_DoingMath

• Chapter 0: About
  • Thanks to
  • SEAN’s Paradise
• chapter 1: Working with numbers
  • 1.1 Basic Mathematical Operations
  • 1.2 Labels: Attaching Names to Numbers
  • 1.3 Different Kinds of Numbers
  • 1.4 Working with Fractions
  • 1.5 Complex Numbers
  • 1.6 Getting User Input
  • 1.8 Handling Exceptions and Invalid Input
  • 1.9 Fractions and Complex Numbers as Input
  • 1.10 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
• chapter 2: visualizing Data with Graphs
  • 2.1 Understanding the Cartesian Coordinate Plane
    • Working with Lists and Tuples
    • Iterating over a List or Tuple
    • Creating Graphs with Matplotlib
    • Graphing the Average Annual Temperature in New York City
    • Comparing the Monthly Temperature Trends of New York City
    • Customizing Graphs
    • Adding a Title and Labels
    • Customizing the Axes
    • Plotting Using pyplot
    • Plotting with Formulas
    • Newton’s Law of Universal Gravitation
    • Projectile Motion
    • Generating Equally Spaced Floating Point Numbers
    • Drawing the Trajectory
    • Comparing the Trajectory at Different Initial Velocities
• chapter 3: Describing Data With Statstics
  • 3.1 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
    • High School Grades and Performance on College Admission Tests
    • Reading Data from Files
    • Reading Data from a CSV File
• chapter 4: Algebra And Symbolic Math with Sympy
  • 4.1 Defining Symbols and Symbolic Operations
  • 4.2 Working with Expressions
    • Factorizing and Expanding Expressions
    • Pretty Printing
    • Printing a Series
    • Substituting in Values
    • Calculating the Value of a Series
    • Converting Strings to Mathematical Expressions
    • Expression Multiplier
    • Solving Equations
    • Solving Quadratic Equations
    • Solving a System of Linear Equations
    • Plotting Using SymPy
    • Plotting Expressions Input by the User
    • Plotting Multiple Functions
• chapter 5: Playing with Sets and Probability
  • 5.1 What’s a Set?
    • Set Construction
    • Set Repetition and Order
    • Subsets, Supersets, and Power Sets
  • Set Operations
    • Union and Intersection
    • Cartesian Product
    • Applying a Formula to Multiple Sets of Variables
    • Different Gravity, Different Results
  • Probability
    • Probability of Event A or Event B
    • Probability of Event A and Event B
  • Generating Random Numbers
    • Simulating a Die Roll
    • Can You Roll That Score?
    • Nonuniform Random Numbers
• 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
• chapter 7: Sovling Calculs problems
  • 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
    • The Role of the Step Size and Epsilon
  • Finding the Integrals of Functions
  • Probability Density Functions