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Applied Mathematics

Mathematics put to work on the world.

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Mathematics put to work on the world. Key sections include: Applied math.; Opening What applied math is.; Chapter I Modelling with differential equations.; Chapter II The harmonic oscillator.; Chapter III The wave equation.; Chapter IV The heat equation.; Chapter V The Navier-Stokes equations.; Chapter VI Fourier analysis.; Chapter VII The Fourier transform.; Chapter VIII Signal processing..

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Slide outline
  1. 01Applied math.
  2. 02Opening What applied math is.
  3. 03Chapter I Modelling with differential equations.
  4. 04Chapter II The harmonic oscillator.
  5. 05Chapter III The wave equation.
  6. 06Chapter IV The heat equation.
  7. 07Chapter V The Navier-Stokes equations.
  8. 08Chapter VI Fourier analysis.
  9. 09Chapter VII The Fourier transform.
  10. 10Chapter VIII Signal processing.
  11. 11Chapter IX Numerical methods.
  12. 12Chapter X Floating-point arithmetic.
  13. 13Chapter XI Newton's method.
  14. 14Chapter XII Runge-Kutta methods.
  15. 15Chapter XIII Finite element method.
  16. 16Chapter XIV Computational fluid dynamics.
  17. 17Chapter XV Optimisation.
  18. 18Chapter XVI Linear programming.
  19. 19Chapter XVII Convex optimisation.
  20. 20Chapter XVIII Calculus of variations.
  21. 21Chapter XIX Optimal control.
  22. 22Chapter XX Mathematical biology.
  23. 23Chapter XXI Mathematical economics.
  24. 24Chapter XXII Mathematical finance.
  25. 25Chapter XXIII The Black-Scholes equation.
  26. 26Chapter XXIV Operations research.
  27. 27Chapter XXV Inverse problems and tomography.
  28. 28Chapter XXVI Numerical linear algebra.
  29. 29Chapter XXVII Eigenproblems and PageRank.
  30. 30Chapter XXVIII Reading list.
  31. 31Chapter XXIX Watch & read.
  32. 32The end of the deck.
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Category
Mathematics
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Updated
2026-05-15
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