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.
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
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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