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Mathematical Modelling Module - Lecture Notes

This repository contains lecture notes for the Mathematical Modelling module, converted from LaTeX to a GitHub Pages website.

Contents

  • Chapter 1A - Introduction to Mathematical Modelling and Python fundamentals

Key Topics Covered

  • Introduction to mathematical modelling
  • Overview of Newtonian dynamics and dynamical systems
  • Python basics: arithmetic, variables, and functions
  • Python modules (math and cmath)
  • Linear interpolation
  • Numerical analysis and Taylor-Maclaurin series
  • Convergence analysis

How to View

The lecture notes are hosted as a GitHub Pages website. Visit: https://jshipton.github.io/test_webpage

Source File

The original LaTeX source is available in lec-notes-ch-1a.tex

Conversion

The LaTeX content has been converted to HTML for easy viewing in a web browser. The HTML includes:

  • Formatted sections and subsections
  • Tables of contents
  • Mathematical notation and examples
  • Code snippets
  • Professional styling for readability

Recommended Reading List

Mechanics Books

  • Collinson and Roper - Particle Mechanics (strongly recommended)
  • Dyke and Whitworth - Guide to Mechanics
  • Smith and Smith - Mechanics
  • Lunn - A First Course in Mechanics
  • Strogatz - Nonlinear Dynamics and Chaos

Python Resources

  • Kong, Siauw and Bayen - Python programming and numerical methods: A guide for engineers and scientists
  • Langtangen - A primer on scientific programming with Python

License

These lecture notes are provided for educational purposes.

About

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