Many colleagues have generously put their teaching materials (lecture notes etc) on the
WEB
.
Most of these are excellent.
Great
Saylor.Org
, Superb
List of Maths eBooks
as well as
Various lectures
.
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
(Excellent) by Prof M J Osborne
Finite Element Methods
- lecture notes (University of Colorado at Boulder, USA)
Differential Geometry:
Arc length and Curvature
,
Principal Curvatures
,
Gauss and Mean Curvatures
or
Curvatures in One Doc
Linear Methods of Applied Mathematics: Orthogonal series, boundary-value problems, and integral operators
by Evans M. Harrell II and James V. Herod.
Engineering Math:
Partial differentiation
+
Chain Rule
(see also
Chain Rule 2
) +
Tangent planes
+
Integration by Parts
+
Implicit Functions/Differentiation
,
Differentiation / rate
,
Gradients
+
Minimum/Maximum
+
Notes on Partial Derivatives, Differentials, Chain Rule, Implicit Functions, Maxima/Minima (problems at end
+
their solutions)
Fourier Series
+
Fourier Series / Examples
Laplace Transforms / Examples
Interactive equation solving
AND
Interactive Matrix Algebra
Fast Fourier Transforms:
Lectures
on Image processing
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
and
others
plus signals
History of Mathematics
and
Famous Mathematicians
Computing:
Comparisons
+
Maple
,
Latex -- short + great
,
Colour LaTeX
,
LaTeX guide
+
LaTeX color/graphs
+
Matlab Guide
,
matlab +
,
Octave
(
free
, similar to Matlab)
Computing Needs:
Mathtools.net
Partial Differential Equations
, and
more PDE's
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:
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
Books to preview and buy:
A First Course in NS of DEs
by A Iserles (2009), CUP
Back to
K. Chen's home page