CHESS-THEORY LINK COLLECTION

Updated : March 2008  

Chess and Mathematics
      (Available in this pages:    58 Links)      

Chess is a fascinating and really very difficult field of reseach for mathematicians. On the other hand many more or less great chess players, along the history, since many centuries, was strongly interested in mathematics, and particularly by mathematical problems connected with the chess game. Hence, considering the Chess Theory it is clear that we have to investigate complex relations between both Chess and Mathematics.
This page bring together many basic materials coming from various interesting web sites French or English-speaking. This ones are classified by categories.

«Gallery of Mathematical Images
"Bers fire: The hex torus Bers
slice" colored according to the
generalized McShane's sum (which
is constant for quasifuchsian
groups) by David Dumas»
Image Copyright © Image
credit: 2006 David Dumas
ARS, N.Y./ADAGP, Paris
     Gallery of Mathematical Images
         'Bers fire: The hex torus Bers
          slice' colored according to the
          generalized McShane's sum (which
          is constant for quasifuchsian
          groups) by David Dumas  ~ 
         Image Copyright ©  Image 
         credit: 2006 David Dumas
         ARS, N.Y./ADAGP, Paris




A - Physics, Astrophysics
and other sciences



1. «Combien y a-t-il d'étoiles ?»
«Combien y a-t-il d'étoiles ?» : This estimate is given in the hypothesis of an universe of finite mass.
2. «H.01 How many stars, galaxies, clusters, QSO's etc in the Universe?»
«H.01 How many stars, galaxies, clusters, QSO's etc in the Universe? - The various parts of this question will be considered separately. Also, rather consider how many stars there are in the Universe, we'll consider how many stars there are in the Milky Way. The number of stars in the Universe can be estimated by multiplying the number of stars in the Milky Way by the number of galaxies in the Universe»
3. «Astrophysics From Wikipedia, the free encyclopedia»
«Astrophysics From Wikipedia, the free encyclopedia»
4. «Oxford Astrophysics : informationTheoretical astrophysics, people...»
«Oxford Astrophysics : informationTheoretical astrophysics, people, graduate study, and seminars»
5. «Center for Astrophysics ~ Collaboration between Harvard College Observatory and the Smithsonian Astrophysical Observatory»
«Center for Astrophysics ~ Collaboration between Harvard College Observatory and the Smithsonian Astrophysical Observatory»
6. «NASA Astrophysics Data SystemSearch system for abstracts in astrophysics, planetary sciences and solar physics»
«NASA Astrophysics Data SystemSearch system for abstracts in astrophysics, planetary sciences and solar physics»
7. «HyperPhysics ConceptsAstrophysics references · HyperPhysics»
«HyperPhysics ConceptsAstrophysics references · HyperPhysics»
8. «Fundamental Physics ~ The new section will be a broad overview of the science of physics ...»
«Fundamental Physics ~ The new section will be a broad overview of the science of physics. We have set up a temporary page, with links to many physics topics currently scattered ...»
9. «Fundamental Physics of SpaceFundamental Physics of Space deals with ...»
«Fundamental Physics of SpaceFundamental Physics of Space deals with how what happens in space relates to what happens on earth»

«Jet Propulsion Laboratory
"California Institute of Technology
Fundamental Physic in Space
"What is Fundamental Physics?"»
Image Copyright © Image
credit: www.math.brown.edu/
ARS, N.Y./ADAGP, Paris
     Jet Propulsion Laboratory
         California Institute of Technology
          Fundamental Physic in Space
          'What is Fundamental Physics?'
         Image Copyright ©  Image 
         credit: www.math.brown.edu/
         ARS, N.Y./ADAGP, Paris




B - Mathematics and Logic


1. «Les théorèmes de Gödel et de Church»
«Lardrière - Les théorèmes de Gödel et de Church ont étés retrouvés par Kleene sous forme de corollaires d'un théorème plus général qui porte sur les formes des prédicats dans un système formel» : Language : French
2. «Gödel's incompleteness theorems - Wikipedia, the free encyclopedia»
«Gödel's incompleteness theorems - Wikipedia, the free encyclopedia ~ In mathematical logic, Gödel's incompleteness theorems, proved by Kurt Gödel in 1931, are two theorems stating inherent limitations of all but the most ...»
3. «What is Mathematics: Gödel's Theorem and Around»
«What is Mathematics: Gödel's Theorem and Around ~ Hyper-textbook for students by Karlis Podnieks, Professor University of Latvia Institute of Mathematics and Computer Science»
4. «Church–Turing thesis»
«Church–Turing thesis - From Wikipedia, the free encyclopedia»
5. «AlanTuring.net The Church-Turing Thesis By Jack Copeland»
«AlanTuring.net The Church-Turing Thesis By Jack Copeland»
6. «The Church-Turing Thesis»
«Stabford Encyclopedie of Philosophy - The Church-Turing Thesis» : Language : English.
7. «Notables Properties of Specific Numbers»
«Notables Properties of Specific Numbers ~ These are some numbers with notable properties. (Most of the less notable properties are listed here.) Other people have compiled similar lists, but this is my list — it includes the numbers that I think are important (-:»

«Digital Archive of Art
Online Images from Boston College
20th Century Sculpture
Umberto Boccioni, Italian Futurist
"The Unique Forms of
Continuity in Space"»
Image Copyright © Image
credit: www.bc.edu/bc_org/
ARS, N.Y./ADAGP, Paris
        Digital Archive of Art 
          Online Images from Boston College
          20th Century Sculpture
          Umberto Boccioni, Italian Futurist
          'The Unique Forms of
          Continuity in Space'
         Image Copyright ©  Image 
         credit: www.bc.edu/bc_org/
         ARS, N.Y./ADAGP, Paris




C - Chess players and Mathematics


1. «Chess and mathematics»
«Chess and mathematics - Chess and mathematics have been pursued intellectually for centuries by many researchers and scientists, especially mathematicians. A mathematician is a person whose area of study and research is mathematics»
2. «Emanuel Lasker»
«Emanuel Lasker» : Emanuel Lasker 2th World Chess Champion, was also an excellent mathematician.
3. «Mario Velucchi's Web links links»
«Mario Velucchi's Web links links - Dear Visitor, Colleague and Friend, You can know me (or so!), some my work and my main interest about Maths, Maths, Chess research & amusement etc .. » : It's actually a pleasure discovering such an original and exciting web address!!... Unfortunately many pages are inaccessible or under construction?!... Any way this site deserve to be visited!


D - Chess and Mathematics
(Theoretical Aspects)



1. «Multilinear Algebra and Chess Engames - Lewis Stiller»
«Multilinear Algebra and Chess Engames - Lewis Stiller - Games of No Chance MSRI Publications Volume 29, 1996» : A fundamental work!!
2. «[math/0301371] The Chess conjecture»
«[math/0301371] The Chess conjecture ~ This affirmatively solves a strengthened version of the Chess conjecture [DS Chess, A note on the classes [S_1^k(f)], Proc. Symp. Pure Math., 40 (1983) ...»
3. «Course webpage for Freshman Seminar»
«Course webpage for Freshman Seminar 23j: Chess and Mathematics»
4. «Matwords.Wolfram.com»
«Matwords.Wolfram.com» : About the number of chess positions and valid chess games.
5. «Subject : number of legal chess position»
«Subject : number of legal chess position - From the Encyclopedia of Integer Sequences»

«Digital art from vile viruses
Each image corresponds with the
structure of the viral code and
other elements of programming»
Image Copyright © Image
credit: www.news.com/
ARS, N.Y./ADAGP, Paris
     Digital art from vile viruses
         Each image corresponds with the
         structure of the viral code and
         other elements of programming'
         Image Copyright ©  Image 
         credit: www.news.com/
         ARS, N.Y./ADAGP, Paris



6. «Chess and Mathematics»
«Chess and Mathematics - Noam D.Elkies and Richard P.Stanley»
7. «Martin Gardner: Mathematical Games»
«Martin Gardner: Mathematical Games ~ Langford Home • Miscellany & Lists ~ The great Martin Gardner's "Mathematical Games" columns in Scientific American were assembled, over the years, into fifteen volumes. I put together this simple listing to help me trace which book a remembered essay actually appears in. -- David Langford»
8. «Notable Properties of Specific Numbers»
«Chess and Mathematics - Notable Properties of Specific Numbers»
9. «SIZE=of game tree»
«SIZE=of game tree - How many different position are there in a game tree of chess ?»
10. «Mathematics and Chess by John Mac Quarrie»
«Mathematics and Chess by John Mac Quarrie ~ Mathematics and Chess. John MacQuarrie. CONTENTS. Introduction · Problems · Puzzles · Fundamentals · Conclusion · Bibliography. John Mac Quarrie January 2005»
11. «Mathematics 177 Logic of Chess»
«Mathematics 177 Logic of Chess»
12. «Matwords.Wolfram.com»
«Matwords.Wolfram.com» : About the number of chess positions and valid chess games.
13. «Mathematical Diversions ~ Welcome to my Web site»
«Mathematical Diversions ~ Welcome to my Web site of mostly original diversions in mathematics and word play. ... Queens attacking primes on Knight's Tours - a new math/chess puzzle ...»
14. «MATHEMATICS AND CHESS by Miodrag Petkovic»
«MATHEMATICS AND CHESS by Miodrag Petkovic ~ Dover Publications, 1997 Limp cover, Reviewed by Dave Davis»

«Digital art and photograph
gallery with free images ...
Welcome ! Artislamic.com is an
online digital art and photo-
graph gallery ~ Art Islamic.com
~ "The Mosque (1991)" »
Image Copyright © Image
credit: www.news.com/
ARS, N.Y./ADAGP, Paris
     Digital art and photograph
         gallery with free images ... 
         Welcome ! Artislamic.com is an
         online digital art and photo-
         graph gallery ~ Art Islamic.com
         ~ 'The Mosque (1991)'
         Image Copyright ©  Image 
         credit: www.news.com/
         ARS, N.Y./ADAGP, Paris




E - Chess and Mathematics
(Other interesting Data)



1. «The Mathematics Of Chess Homepage»
«The Mathematics Of Chess Homepage ~ In this webpage I will outline a few examples of mathematics in chess that may encourage you to look deeper into an aspect of the game that interests you! ...»
2. «History of mathematics and chess»
«Chess-Postal.com - History of mathematics and chess» : An article of Ed. Sandifer, Western Connecticut State University.
3. «Mathematics and chess - Chess.com»
«Mathematics and chess - Chess.com ~ I don't even like the fact that chess openings have been 'cracked' - it makes the game too mechanical. I loooove math (see my username and avatar)! ...»


F - Chess and Computers
Chess Programming



1. «A short history of computer chess»
«ChessBase - Columns - A short history of computer chess»
2. «Feedback - An Active Symbols Theory of Chess Intuition ~ Source Minds and Machines archive»
«Feedback - An Active Symbols Theory of Chess Intuition ~ Source Minds and Machines archive ~ Volume 15 , Issue 2 (May 2005) table of contents Pages: 131 - 181 Year of Publication: 2005 ISSN:0924-6495 Author Alexandre Linhares Aff1 Aff2 Publisher Kluwer Academic Publishers Hingham, MA, USA»
3. «The Final Theory of Chess *»
«The Final Theory of Chess * is an attempt to construct an aggressive opening repertoire based primarily upon the use of computer analysis»
4. «G13GAM -- Game TheoryG13GAM -- Game Theory»
«G13GAM -- Game Theory ~ Further notes on computer chess»
5. «Computer Chess Programming Theory»
«Computer Chess Programming Theory»
6. «Chess Programming Theory»
«Chess Programming Theory»
7. «A theory of evaluative comments in chess with a note on minimaxing»
«A theory of evaluative comments in chess with a note on minimaxing ~ D. Michie * Machine Intelligence Research Unit, University of Edinburgh, Hope Park Square, Meadow Lane, Edinburgh, UK»
8. «Chess programing - the theory»
«Chess programing - the theory ~ The most important rule of chess is the movement of the pieces. Most of the other rules bases on this rule. Because the computer can only work with numbers, ...»
9. «Computer chess From Wikipedia, the free encyclopedia»
«Computer chess From Wikipedia, the free encyclopedia ~ Jump to: navigation, search 1990s Pressure-sensory Chess Computer with LCD screenThe idea of creating a chess-playing machine dates back to the eighteenth century ...»
10. «Daily Chess Columns ~ Chess and mathematics»
«Daily Chess Columns ~ Chess and mathematics ~ The main problem of chess programming is the very large number of continuations involved. In an average position there are about 40 ...»


G - Chess Deepness and numbers


1. «Chess-Theory, New Chess Theory (NCT), 'New Chess Theory' Lecture »
«Chess-Theory, New Chess Theory (NCT), 'New Chess Theory' Lecture ~ Like life we may certainly consider that a chess game has a deep unity and ... 1o) Chess deepness and numbers ~ In all real topics people is confronted with ...»
2. «France Échecs»
«France Échecs - Profondeur des échecs»
3. «The chess games of Illya Nyzhnyk - Deepness of Chess ...»
«The chess games of Illya Nyzhnyk - Deepness of Chess ...»

«The chess games of Illya Nyzhnyk - Deepness
of chess ... At the age of ten, the Ukrainian
NCM Illya Nyzhnyk shot to world wide promi-
nence by winning Group B of the 2007 Moscow
Open, scoring 8.5/9 points with a 2633
performance in a field of 324 players»
Image Copyright © Image
credit: www.chessgames.com/
ARS, N.Y./ADAGP, Paris
   'The chess games of Illya Nyzhnyk - Deepness
         of chess  ... At the age of ten, the Ukrainian
         NCM Illya Nyzhnyk shot to world wide promi-
         nence by winning Group B of the 2007 Moscow
         Open, scoring 8.5/9 points with a 2633
         performance in a field of 324 players'
         Image Copyright ©  Image 
         credit: www.chessgames.com/
         ARS, N.Y./ADAGP, Paris



4. «Imprévisibilité, déterminisme et libre arbitre»
«Forums Futura-Sciences - Imprévisibilité, déterminisme et libre arbitre» : About the chess game. Language : French.
5. «X3D Fritz (Computer)»
«Chessgames.com - X3D Fritz (Computer)»

   About the Theory of Chess    Links
   Chess and Mathematics 58
   Chess Theory: Strategy
***
   Chess Theory: Tactics ***
   Opening & Endgame Chess Theory ***
   Chess Middle Game & Plan
***
   Chess Theory: Books ***
   Chess Theory: Links
***
   Miscellaneous data ***

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