The Statistics and Calculus with Python Workshop

封面

版权信息

Preface

1. Fundamentals of Python

Introduction

Control Flow Methods

Data Structures

Functions and Algorithms

Testing Debugging and Version Control

Summary

2. Python's Main Tools for Statistics

Introduction

Scientific Computing and NumPy Basics

Working with Tabular Data in pandas

Data Visualization with Matplotlib and Seaborn

Summary

3. Python's Statistical Toolbox

Introduction

An Overview of Statistics

Types of Data in Statistics

Descriptive Statistics

Inferential Statistics

Python's Other Statistics Tools

Summary

4. Functions and Algebra with Python

Introduction

Functions

Function Transformations

Equations

Systems of Equations

Summary

5. More Mathematics with Python

Introduction

Sequences and Series

Trigonometry

Vectors

Complex Numbers

Summary

6. Matrices and Markov Chains with Python

Introduction

Matrix Operations on a Single Matrix

Operations on Multiple Matrices

Solving Linear Equations Using Matrices

Transition Matrix and Markov Chains

Summary

7. Doing Basic Statistics with Python

Introduction

Data Preparation

Calculating and Using Descriptive Statistics

Exploratory Data Analysis

Summary

8. Foundational Probability Concepts and Their Applications

Introduction

Randomness Probability and Random Variables

Discrete Random Variables

Continuous Random Variables

Summary

9. Intermediate Statistics with Python

Introduction

Law of Large Numbers

Central Limit Theorem

Confidence Intervals

Hypothesis Testing

Summary

10. Foundational Calculus with Python

Introduction

Writing the Derivative Function

Calculating Integrals

Using Trapezoids

Using Integrals to Solve Applied Problems

Using Derivatives to Solve Optimization Problems

Summary

11. More Calculus with Python

Introduction

Length of a Curve

Length of a Spiral

Area of a Surface

Infinite Series

Summary

12. Intermediate Calculus with Python

Introduction

Differential Equations

Interest Calculations

Population Growth

Half-Life of Radioactive Materials

Newton's Law of Cooling

Mixture Problems

Euler's Method

Summary