Many colleagues have generously put their teaching materials (lecture notes etc) on the WEB.
Most of these are excellent.

  1. Great Saylor.Org, Superb List of Maths eBooks as well as Various lectures.
  2. Applied Mathematics Books (Excellent) by Prof John H. Heinbockel (Old Dominion University, USA)
  3. Introduction to Real Analysis (Excellent) by Prof W F Trench (Trinity University, USA)
  4. Mathematical Methods (Excellent) by Prof M J Osborne
  5. Finite Element Methods - lecture notes (University of Colorado at Boulder, USA)
  6. Differential Geometry:
    Arc length and Curvature, Principal Curvatures, Gauss and Mean Curvatures or Curvatures in One Doc
  7. Linear Methods of Applied Mathematics: Orthogonal series, boundary-value problems, and integral operators by Evans M. Harrell II and James V. Herod.
  8. Engineering Math:
  9. Interactive equation solving AND Interactive Matrix Algebra
  10. Fast Fourier Transforms: Lectures on Image processing
  11. Introduction to Applied and Pure Mathematics
  12. Numerical Recipes (the full book plus programs in C and Fortran)
  13. Introduction to Numerical Methods
  14. Numerical Methods for Partial Differential Equations (online)
  15. Linear Optimisation and Numerical Analysis and others plus signals
  16. History of Mathematics and Famous Mathematicians
  17. Computing: Comparisons + Maple, Latex -- short + great, Colour LaTeX, LaTeX guide + LaTeX color/graphs + Matlab Guide, matlab +, Octave (free, similar to Matlab)
  18. Computing Needs:
  19. Partial Differential Equations, and more PDE's
  20. Applied Maths - PDE's and Integral Equations
  21. Functional Analysis
  22. How to present a short talk. See also Thurston's wisdom + Career in Maths
  23. Computer Science Tutorials and IT Skills
    Programming: IT Programming, Fortran Tutorials, MPI Fortran guide and Excellent MPI red book + Learn Unix
    OIT documentation Network programming [IT] Matlab tutorial
    Fortran tutorial C tutorial ++ C C++ tutorial
    Fortran 90 tutorial, Parallel programming and Computer Programs
    Learn an IT topic now
  24. Books to preview and buy: A First Course in NS of DEs by A Iserles (2009), CUP

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