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Each entry here begins with a parent link followed by some child links
that I've
found particularly useful to mention. The
order these links are sorted upon reflects, solely, the frequency of my
personal reference to them.
People
Gilbert Strang-MIT (Applied Math)
(Incredible video lectures on
LA,
MME I, and
II. My brother, a soon-to-be
mathematician, calls him the god of
Linear Algebra. "...see what the god has
created!" he says on his correspondence
with me about Strang's
Calculus book generously put up on
OCW.)
Per-Olof Persson-MIT (DistMesh)
(High-order methods for fluid and solid
mechanics, in particular techniques
based on the Discontinuous Galerkin
method--he was under Gil Strang and Alan
Edelman in his PhD.)
Steven G. Johnson (FFTW) (MATLAB's
FFT is based on his and Matteo Frigo's
FFTW.
A genius with four BS's before his PhD,
all from MIT where he's a now
professor.)
Michele Benzi
Robert J. Vanderbei-Princeton
Don Knuth-Stanford (/ka-nooth'/ Donald
E. Knuth's "The Art of Computer
Programming"] is mythically, the reference
that answers all questions about data
structures or algorithms. A safe answer when
you do not know: "I think you can find that
in Knuth."
Alan Edelman-MIT (Parallel Computing)
William Kahan-Berkeley
Alan Turing (Founder of computer
science...)
Daolin Xu (My Advisor)
Me at TICalc (I used to write a lot of
programs in TIBasic; here is three of them
that I posted on the web back in my
undergrad)
Ehssan, my borther, at AoSP (This links
to his blog at the Art of Problem Solving
where he writes on abstract math)
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Jim Herod-Georgia Tech (Math) (His
and Cain's
textbook for a course in
multivariable calculus. It has been used
for the past few years here at Georgia
Tech)
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George Cain-Georgia Tech (Math) (See
his
list of Online Mathematics Textbooks
some of which I've extracted and written
in books section below.)
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Robert J. Vanderbei-Princeton
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Siegfried M. Rump-Hamburg (IntLab)
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Kleitman-MIT (Calculus) (Check out
his
Calculus for Beginners course
material as well as other courses
directly available on his page)
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Herbert Wilf-UofPennsylvania (His
math books are, generously, available to
download freely)
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Pavel Grinfeld-Drexel (Formerly a
student of Gil Strang. Check out his
Overview of Numerical Methods With
Matlab flash recorded course)
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James Demmel-Berkeley (One of the
main authors of LAPack and scaLAPack
upon which MATLAB's linear algebra is
based)
Math Software
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Netlib (Netlib repository
contains freely available software,
documents, and databases of interest
to the numerical, scientific
computing, and other communities.
The repository is maintained by AT&T
Bell Laboratories, the University of
Tennessee and Oak Ridge National
Laboratory, and by colleagues
world-wide. The collection is
replicated at several sites around
the world, automatically
synchronized, to provide reliable
and network efficient service to the
global community.)
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EigTool
(EigTool is a GUI that integrates
MATLAB's eig routine (ARPACK) for
finding a few eigenvalues of a large
sparse matrix with the (now
obsolete) Pseudospectra GUI for
computing pseudospectra of
matrices--By
Tom Wright.)
DistMesh (DistMesh is a simple
MATLAB code for generation of
unstructured triangular and tetrahedral
meshes. It was developed by Per-Olof
Persson and Gilbert Strang in the
Department of Mathematics at MIT.)
UMFPACK (UMFPACK is a set of
routines for solving unsymmetric sparse
linear systems, Ax=b, using the
Unsymmetric MultiFrontal method. Written
in ANSI/ISO C, with a MATLAB (Version
6.0 and later) interface. Appears as a
built-in routine (for lu, backslash, and
forward slash) in
MATLAB. Includes a MATLAB interface,
a C-callable interface, and a
Fortran-callable interface. Note that "UMFPACK"
is pronounced in two syllables, "Umph
Pack". It is not "You Em Ef Pack".)
FFTW (Winner of the
1999 James Hardy Wilkinson Prize in
Numerical Software,
FFTW is a C subroutine library
for computing the discrete Fourier
transform (DFT) in one or more
dimensions, of arbitrary input size, and
of both real and complex data (as well
as of even/odd data, i.e. the discrete
cosine/sine transforms or DCT/DST. Be
sure to check out its exhaustive
FFT links)
Cilk (Cilk project asymptotically
optimal algorithms for rectangular
matrix transpose, FFT, and sorting on
computers with multiple levels of
caching. Unlike previous optimal
algorithms, these algorithms are
cache oblivious: no variables
dependent on hardware parameters, such
as cache size and cache-line length,
need to be tuned to achieve optimality.
Nevertheless, these algorithms use an
optimal amount of work and move data
optimally among multiple levels of
cache.)
Books
and Knowledge Bases
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HyperPhysics (HyperPhysics is an
exploration environment for concepts in
physics which employs concept maps and
other linking strategies to facilitate
smooth navigation. For the most part, it
is laid out in small segments or
"cards", true to its original
development in HyperCard. The entire
environment is interconnected with
thousands of links, reminiscent of a
neural network. The bottom bar of each
card contains links to major concept
maps for divisions of physics...)
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Templates for the Solution of Algebraic
Eigenvalue Problems (Edited
by Zhaojun Bai, James Demmel, Jack
Dongarra, Axel Ruhe, and Henk van der
Vorst, This book is a guide to
the numerical solution of eigenvalue
problems. It attempts to present the
many available methods in an organized
fashion, to make it easier for you to
identify the most promising methods.)
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PC Technology Guide (When the
PCTechGuide was launched in April 1998,
its purpose was to share a dossier of
technical information compiled whilst
researching the purchase of a home PC.
Since then the site has grown
considerably, and is now a widely used
educational resource. Visited by IT
students, hobbyists and professionals
worldwide, the site is the number one
ranked PC Technology site on the web.)
MIT OpenCourseWare (OCW) (Lecture
notes, assignments, exams and sometime
even the video lectures of most courses
offered at MIT. Don't miss the
Audio and Video on MIT OCW or their
Supplementary Resources.)
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Wikipedia (The Free Encyclopedia
that anyone can edit)
HowStuffWorks (Learn how Everything
Works!)
Mathematics WWW Virtual Library
(Florida State University's fantastic
online source of lots of e-books with
links to a zillion more)
Linear Methods of Applied Mathematics
(This is a WWW textbook written by Evans
M. Harrell II and James V. Herod, both
of Georgia Tech. It is suitable for a
first course on partial differential
equations, Fourier series and special
functions, and integral equations.)
American
Mathematical Society
Online Books
(where there are links to all
kinds of mathematics books and lists of
mathematical books. Specially check out
Dynamical Systems by George D. Birkhoff.)
Misc
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TICalc (The most comprehensive
resource for TI Calculator programs, in
Basic, Asm, or C, as well as lots of
tutorials)
Astronomy Picture of the Day (Each day a
different image or photograph of our
fascinating universe is featured [by NASA],
along with a brief explanation written by a
professional astronomer)
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The MathWorks-Newsletters
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Math Quotes
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Internet Fractal Database (At the
time I'm writing this, it has 93
galleries)
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The Chronicles of Sir Arthur Conan Doyle
- Quotes
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Alexa Site Traffic Rankings
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NOVA
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Visual Numerics
Groups
and Societies
Center
for Applied Mathematics, Cornell University
Publishers and Bookshops
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