Many colleagues have generously put their teaching materials (lecture
notes etc) on the WEB.
Most of these are excellent.
(Jan 2023)
 Online and Interative Maths/Stats/Programming
•
Interactive equation
solving
•
Interactive Linear Algebra
•
Math and Stats Calculators
•
Python Learning,
Pytorch in 60 mins
•
Wolfram Alpha for Advanced Students
•
Octave Guide 2020 (free and Matlab like)
•
Short Octive
 Great Saylor.Org (Maths) ,
Superb
List of Maths eBooks as well as
Various lectures.
 Deep Learning:
Online DL Book (free and great),
MIT Courses,
Pytorch in 60 Mins
and Machine Learning.
And of course watch YouTube e.g.
Numerical PDEs(MIT)
or Nonlinear Programming

Applied Mathematics Books (Excellent) by Prof John H. Heinbockel
(Old Dominion University, USA)

Introduction to Real Analysis (Excellent) by Prof W F Trench
(Trinity University, USA)

Mathematical Methods for Economic Theory (Excellent) by Prof M J Osborne

Finite Element Methods  lecture notes (University of Colorado at Boulder, USA).
FEM theory (on Youtube)
 Differential Geometry:
ETH lecture notes,
Principal Curvatures,
Mean Curvatures or
Curvatures in One Doc

Linear Methods of Applied Mathematics:
Orthogonal series, boundaryvalue problems, and integral operators by
Evans M. Harrell II and James V. Herod.

Engineering Math:
 Fast Fourier Transforms:
Lectures
on Image processing, and Digital Signal Processing (book)

Introduction to
Applied and Pure
Mathematics

Numerical Recipes (the full book plus programs in C and
Fortran)

Introduction to Numerical Methods

Numerical Methods for Partial Differential Equations (online)

Linear Optimisation and Numerical Analysis ,
Nonlinear Optimisation:
Lagrangian Duality and Convex Optimization,
Backpropagation in Neural Networks
 History of Mathematics and
Lecture Notes
 Computing:
HPC Computing,
Intro to
Maple,
Learn LateX in 30 mins,
Colourful LaTeX,
LaTeX guide +
LaTeX color/graphs +
A Beginner's Guide to Matlab

Partial Differential Equations

Applied Maths  PDE's and Integral Equations

Functional Analysis
 How to present a
short talk.
See also Thurston's wisdom +
Career in Maths
 Computer Science Tutorials and IT Skills
Programming:
Microsoft Excel Tutorial,
Advanced excel,
WallStreetMojo Tutorial,
Deep Learning in MATLAB,
IT Programming,
Fortran Tutorials,
MPI Fortran guide and
Excellent MPI red book +
Learn Unix in 10 mins

Books to preview and buy:
A
First Course in NS of DEs by A Iserles (2009), CUP
Online Unit Converter +
Time Zones
 Nice URL clean (for google searches)
Back to
K. Chen's home
page
Special thanks to colleagues who suggest new pointers or fix old links:
including Andrew Stacy