### Math Links; p computation

Pi | matrix formulas |

test of formatting:

π → | π | <font face="symbol">p</font> → | p |

1-13-2011 http://shadowfaxrant.blogspot.com/

CALCPAGE 23.0, Shadowfax Cluster Rant 2009-2011

Teaching & Learning Mathematics with Technology using Numerical Methods,

Computer Algebra Systems & Linux Clusters! - - - * CALCPAGE Has Been Online Since 1988 * (originally,
http://calcpage.tripod.com/)

Computing Pi per numbers.computation.free.fr 7-8-2005

PiFast - a program to compute pi from numbers.computation.free.fr 1-4-2007

p is 1/2 + 1/3 + 1/5 + 1/8 + 1/13 + 1/21 + ... (?)
per

Andrew Bryant, Mth-109-09 student at Camden County College Fall 2006

citing
Pi and Fibonacci series

2-12-2014 http://starman.vertcomp.com/math/pi/index.html TheStarMan Math: The Number Pi (p) 2-12-2014

The StarMan Realm - see sitemap for 5 of his pages on PI

Art of Problem Solving math mentors; I'm registered as "dkerr"

Herbert Wilf free math books on-line; nice discrete colletion of other math links

Geometry Theorems illustrated - great graphics! 1-27-2008

Stella: Polyhedron Navigator - software to generate and explore 3D and 4D polyhedra 1-27-2008

Education Links of MSU Physics and Astronomy Dept inlcudes current link to E.J.Inglis-Arkell's Education Links, plus many other interesting sites! 11-22-2004

The Math Professor 11-22-2004

Mathematica related sites (Mathematica is made by Wolfram)

Basic Mathematica per colorado.edu

Wolfram's Mathworld "the web's most extensive mathematics resource"

Interactive Mathematics on the Internet WWW Interactive Multipurpose Server
(WIMS) University of Nice

also KNOWIMS KNOPPIX live Linux with WIMS server

The Constants and Equations Page (TCAEP) sponsored by The Institute of Physics (iop.org)

Merseene.org Great Internet Mersenne Prime Search (GIMPS) prime95
2^{30,402,457} - 1 is prime! 11-8-2006

Mandelbrot and Julia Set Explorer

math.cornell.edu Chaos and Fractals - Theory

dmoz Fractal Art links see Andrew Que's Fractals

Clifford Algebras and Spinors of which quaternions are an instance... thanks for "spinors" reference, beginning Tai Chi student of Lynn Kemler!

Great Math site Exceptionally clear and
helpful explanations by Paul Bourke at
The Swinburne Centre for Astrophysics and Supercomputing
is hosted by the School
of Biophysical Sciences and Electrical Engineering at Swinburne University of
Technology in Melbourne, Australia.

The Centre is one of the newest and most rapidly growing research centres in
Australia. It operates a significant supercomputing facility and a virtual
reality theatre and concentrates on problems in astrophysics that benefit from
these unique resources.

The Centre for Astrophysics and Supercomputing is dedicated to inspiring a
fascination in the Universe through research and education.

CS170a Mathematical Models and Methods for Computer Science Winter 2003 by D. Stott Parker at UCLA

Clay Mathematics Institute president
Arthur Jaffe praises efforts by Martin Dunwoody, professor at Southampton University who may have
solved a conjecture my Henri Poincare about the properties of three-dimensional
space. per Sunday April 28, 2002 Philadelphia Inquirer.

The Clay Mathematics Institute was founded 2 years ago to identify the world's
toughest math problems. 9-1-2003

Donald E. Knuth home page 7-21-2003

Number Theory Arbitrary Precision environments: Web Directory of ilectric.com 7-8-2003

LibTomCrypt.org and LibTomMath - per Security Focus newsletter -
SECURITYFOCUS TOP 6 TOOLS

LibTomCrypt is a comprehensive, modular, and portable cryptographic
toolkit that provides developers with a vast array of well known published
block ciphers, one-way hash functions, chaining modes, pseudo- random
number generators, public key cryptography, and a plethora of other
routines. It has been designed from the ground up to be very simple to
use. It has a modular and standard API that allows new ciphers, hashes,
and PRNGs to be added or removed without change to the overall end
application. It features easy to use functions and a complete user manual
which has many source snippet examples.
6-17-2003

Foundstone employee seeks other work to escape sinking ship uses hushmail...

ByMath.com tutorials on High School Math topics 3-23-2004

Why Study math? Sarah Berenson Professor, Director of NC Math and Science Research and Development Center, says "If women take two university math courses, their salary goes from 70 percent to 90 percent of what men make." per Burlington County Times, Outlook article 11/25/2002 11-25-2002

same article is also "Whe re the girls aren't" , a pdf file, and at NC State U Engineering New Articles as an HTML page.

Math on the WWW 4-15-2003

AlgegraResources at www.central.edu 4-15-2003

MuPAD 4-15-2003

John December's Math Links 10-1-2002

Favorite Math Constants 10-1-2002

Gnu BC programs from NumberTheory.org 9-18-2002

GNUmp - Library for arithmetic on arbitrary precision numbers 9-18-2002

NIST Dictionary of Algorithms and Data Structures

mathacademy Platonic Realms: minitexts encapsulate math lessons, math links include personal pages with lots of interesting stuff, software, links to college math departments with geographic world map location selection.

Sun SITE Northern Europe repository of software for Linux, W95, unix, located at Dept. of Computing, Imperial College, UK.

Octave TOC open source math-cad like tool.

QuasiTiler 3.0 at the Geometry Center UMN 9-5-2002

Tess - a program for generating Tesselations from pedagoguery 9-5-2002

Tessellations Links, Java 9-18-2002

Andrew Crompton's Tesselations

Recreational Math Links by David Eppstein at UC Irvine Theory Group in Department of Information and Computer Science

Math Posters e.g. Fermat's Last Theorem, Fibanocci, Golden Ratio, Pythagorean Theorem, Primes 9-24-2002

WorldOfEscher.com Posters 9-24-2002

NJ Dept of Education Mathematics Curriculum Framework

### back to top Pi

3.14159265358979323846264338 327 950 2884 1971 6939937 5105 8209 749445 9230 681640628620 8998 6280 34825 34211 70679 82148 086513 282306 647093 844609 550582 231725 359408 128481 117450 284102 701938 521105 559644 622948 954930 381964 428810 975665 933446 128475 648223 186783 165271 201909 145648 566923 460348 610454 326648 213393 607260 249141 273724 587006 606315 588174 881520 920962 829254 091715 364367 892590 360011 330530 548820 466521 384146 951941 511609 433057 270365 759591 953092 186117 381932 611793 105118 548074

### back to top Matrix Formulas

inverting 3x3 matrix with cofactors:

determinant of

a b c d e f g h iis

`aei + dhc + bfg - gec - dbi - afh`

cofactor matrix is

ei-fh -[di-fg] dh-eg -[bi-hc] ai-gc -[ah-gb] bf-ec -[af-dc] ae-db

inverse is 1/det * Adjoint Adjoint = transpose of [cofactors]

e.g.

1 1 0 0.5 0.5 -0.5 A = 1 0 1 det(A) = -2, inv(A)= 0.5 -0.5 0.5 0 1 1 -0.5 0.5 0.5

Clear Explanation by Paul Bourke: Inverse of a Square Matrix

Clear Explanation by Paul Bourke: Determinant of an arbitrary Square Matrix

Clear Explanation by Paul Bourke: Quaternions

Mathematica in Action ibsn 0387986847, by Stan Wagon, January 2000, for Mathematica 3 or 4

Last updated 1-4-2002, 9-5-2002, 9-18-2002, 9-24-2002, 10-1-2002, 11-25-2002, 4-15-2003, 6-17-2003

7-8-2003, 9-1-2003, 12-12-2003, 2-19-2004, 3-23-2004

8-2-2004, 11-22-2004, 3-15-2005, 6-21-2005, 7-8-2005,11-9-2007, 1-27-2008, 1-13-2011

2-12-2014 dek