Math Links; p computation

test of formatting:

&pi; →π<font face="symbol">p</font> →p

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,

Computing Pi per Updated! 7-8-2005

PiFast - a program to compute pi from Updated! 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 TheStarMan Math: The Number Pi (p) Updated! 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! Updated! 1-27-2008

Stella: Polyhedron Navigator - software to generate and explore 3D and 4D polyhedra Updated! 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! Updated! 11-22-2004

The Math Professor Updated! 11-22-2004

Mathematica related sites (Mathematica is made by Wolfram)

Basic Mathematica per

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

Math WebRing

The Constants and Equations Page (TCAEP) sponsored by The Institute of Physics ( Great Internet Mersenne Prime Search (GIMPS) prime95    230,402,457 - 1 is prime! Updated! 11-8-2006

Mandelbrot and Julia Set Explorer

The Fractal Page

Art Matrix 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!

my Quaternion links

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.Updated! 9-1-2003

Donald E. Knuth home page Updated! 7-21-2003

Number Theory Arbitrary Precision environments: Web Directory of Updated! 7-8-2003 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. Updated! 6-17-2003

Foundstone employee seeks other work to escape sinking ship uses hushmail... tutorials on High School Math topics Updated! 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 Updated! 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 Updated! 4-15-2003

AlgegraResources at Updated! 4-15-2003

MuPAD Updated! 4-15-2003

John December's Math Links Updated! 10-1-2002

Favorite Math Constants Updated! 10-1-2002

Gnu BC programs from Updated! 9-18-2002

GNUmp - Library for arithmetic on arbitrary precision numbers Updated! 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 Updated! 9-5-2002

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

Tessellations Links, Java Updated! 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 Updated! 9-24-2002 Posters Updated! 9-24-2002

NJ Dept of Education Mathematics Curriculum Framework

back to top Pi

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

back to top Matrix Formulas

inverting 3x3 matrix with cofactors:
determinant of

a b c
d e f
g h i
is 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]


       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
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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