Applying Math with Python

封面

版权信息

献辞

About Packt

Why subscribe?

Contributors

Preface

Basic Packages Functions and Concepts

Technical requirements

Python numerical types

Basic mathematical functions

NumPy arrays

Matrices

Summary

Further reading

Mathematical Plotting with Matplotlib

Technical requirements

Basic plotting with Matplotlib

Changing the plotting style

Adding labels and legends to plots

Adding subplots

Saving Matplotlib figures

Surface and contour plots

Customizing three-dimensional plots

Further reading

Calculus and Differential Equations

Technical requirements

Working with polynomials and calculus

Differentiating and integrating symbolically using SymPy

Solving equations

Integrating functions numerically using SciPy

Solving simple differential equations numerically

Solving systems of differential equations

Solving partial differential equations numerically

Using discrete Fourier transforms for signal processing

Further reading

Working with Randomness and Probability

Technical requirements

Selecting items at random

Generating random data

Changing the random number generator

Generating normally distributed random numbers

Working with random processes

Analyzing conversion rates with Bayesian techniques

Estimating parameters with Monte Carlo simulations

Further reading

Working with Trees and Networks

Technical requirements

Creating networks in Python

Visualizing networks

Getting the basic characteristics of networks

Generating the adjacency matrix for a network

Creating directed and weighted networks

Finding the shortest paths in a network

Quantifying clustering in a network

Coloring a network

Finding minimal spanning trees and dominating sets

Further reading

Working with Data and Statistics

Technical requirements

Creating Series and DataFrame objects

Loading and storing data from a DataFrame

Manipulating data in DataFrames

Plotting data from a DataFrame

Getting descriptive statistics from a DataFrame

Understanding a population using sampling

Testing hypotheses using t-tests

Testing hypotheses using ANOVA

Testing hypotheses for non-parametric data

Creating interactive plots with Bokeh

Further reading

Regression and Forecasting

Technical requirements

Using basic linear regression

Using multilinear regression

Classifying using logarithmic regression

Modeling time series data with ARMA

Forecasting from time series data using ARIMA

Forecasting seasonal data using ARIMA

Using Prophet to model time series data

Further reading

Geometric Problems

Technical requirements

Visualizing two-dimensional geometric shapes

Finding interior points

Finding edges in an image

Triangulating planar figures

Computing convex hulls

Constructing Bezier curves

Further reading

Finding Optimal Solutions

Technical requirements

Minimizing a simple linear function

Minimizing a non-linear function

Using gradient descent methods in optimization

Using least squares to fit a curve to data

Analyzing simple two-player games

Computing Nash equilibria

Further reading

Miscellaneous Topics