Fundamentals 4 min read

Essential Python Programming Resources: Basics, Libraries, and Modeling Tools

This article compiles a curated list of Python programming fundamentals and popular third‑party libraries for data processing, visualization, scientific computing, optimization, and more, linking to detailed tutorials for each topic, including Numpy, Matplotlib, Pandas, Scipy, PuLP, NetworkX, Geatpy, Numba, and Taichi.

Model Perspective
Model Perspective
Model Perspective
Essential Python Programming Resources: Basics, Libraries, and Modeling Tools

1. Python Programming Basics

Why Choose Python Over Matlab as a Programming Language

Python Basics 01: Installation and Simple Usage

Python Basics 03: Lists, Tuples, Dictionaries, Sets

Python Basics 04: Conditional and Loop Statements

Python Basics 05: Defining Functions

Python Data Types: Strings and Numeric Types

2. Common Python Libraries for Mathematical Modeling

2.1 Numpy – Data Processing, Functions, Linear Algebra, Statistics

Numpy Overview

Numpy – Underlying Mechanisms of Common Functions

2.2 Matplotlib – Plotting

Matplotlib – Common Plots

Matplotlib – Setting Plot Styles and Chinese Support

Matplotlib – Displaying Chinese Correctly

Matplotlib – 3D Curves, Scatter, Surface Plots

Matplotlib – Creating Publication‑Quality Figures

2.3 Pandas – Data Processing and Visualization

Pandas – Basic Operations

Pandas – Visualizing Multidimensional Data

2.4 Scipy – Fitting, Optimization, Clustering, Image Processing

Scipy – Custom Function Fitting

Scipy – Function Interpolation

Scipy – Linear Algebra

Scipy – Clustering

Scipy – Optimization and Root Finding

Scipy – Sparse Graphs

2.5 PuLP – Linear and Integer Programming

PuLP – Solving Simple Linear Programming Problems

PuLP – Solving 0‑1 Programming Problems

2.6 NetworkX – Graph Theory and Complex Networks

NetworkX – Basic Operations

NetworkX – Minimum Spanning Tree Example

2.7 Geatpy – Genetic Algorithms

Geatpy – Introduction and Using Genetic Algorithms for Optimization

2.8 Numba and Taichi – Accelerating Python Execution

Numba – Speeding Up Python

Taichi – Using Taichi Library to Accelerate Python

pythonprogrammingLibrariesTutorialdata sciencescientific-computing
Model Perspective
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Model Perspective

Insights, knowledge, and enjoyment from a mathematical modeling researcher and educator. Hosted by Haihua Wang, a modeling instructor and author of "Clever Use of Chat for Mathematical Modeling", "Modeling: The Mathematics of Thinking", "Mathematical Modeling Practice: A Hands‑On Guide to Competitions", and co‑author of "Mathematical Modeling: Teaching Design and Cases".

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