Doing Math with Python Use Programming to Explore Algebra Statistics Calculus and More 1st Edition by Amit Saha ISBN 1593276400 9781593276409

Doing Math with Python Use Programming to Explore Algebra Statistics Calculus and More 1st Edition by Amit Saha – Ebook PDF Instant Download/Delivery: 1593276400 ,9781593276409
Full download Doing Math with Python Use Programming to Explore Algebra Statistics Calculus and More 1st Edition after payment

Product details:

ISBN 10: 1593276400
ISBN 13: 9781593276409
Author: Amit Saha

Doing Math with Python Use Programming to Explore Algebra Statistics Calculus and More 1st Edition Table of contents:

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

#1: Even-Odd Vending Machine

#2: Enhanced Multiplication Table Generator

#3: Enhanced Unit Converter

#4: Fraction Calculator

#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

Adding a Title and Labels

Customizing the Axes

Plotting Using pyplot

Saving the Plots

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

What You Learned

Programming Challenges

#1: How Does the Temperature Vary During the Day?

#2: Exploring a Quadratic Function Visually

#3: Enhanced Projectile Trajectory Comparison Program

#4: Visualizing Your Expenses

#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

#1: Better Correlation Coefficient–Finding Program

#2: Statistics Calculator

#3: Experiment with Other CSV Data

#4: Finding the Percentile

#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

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 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

#1: Factor Finder

#2: Graphical Equation Solver

#3: Summing a Series

#4: Solving Single-Variable Inequalities

Hints: Handy Functions

Chapter 5: Playing with Sets and Probability

What’s a Set?

Set Construction

Checking Whether a Number Is in a Set

Creating an Empty Set

Creating Sets from Lists or Tuples

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?

Is the Target Score Possible?

Nonuniform Random Numbers

What You Learned

Programming Challenges

#1: Using Venn Diagrams to Visualize Relationships Between Sets

#2: Law of Large Numbers

#3: How Many Tosses Before You Run Out of Money?

#4: Shuffling a Deck of Cards

#5: Estimating the Area of a Circle

Estimating the Value of Pi

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

#1: Packing Circles into a Square

#2: Drawing the Sierpiński Triangle

#3: Exploring Hénon’s Function

#4: Drawing the Mandelbrot Set

The imshow() Function

Creating a List of Lists

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

#1: Verify the Continuity of a Function at a Point

#2: Implement the Gradient Descent

#3: Area Between Two Curves

#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

Updating 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

People also search for Doing Math with Python Use Programming to Explore Algebra Statistics Calculus and More 1st Edition:

r using python
    
doing math in r
    
is there math in python
    
which programming language is used in python
    
is python good for coding

Tags: Amit Saha, Programming, Explore Algebra Statistics, Calculus