Appendix C. Bibliography

Appendix C. Bibliography
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Appendix C. Bibliography

Table of Contents

Books, Articles, URLs
Usenet

Books, Articles, URLs

Here are several interesting software projects as well as a wide collection of literature for further reading. Well, by now we have cited the whole local library.

Preferences

Graph Theory and Combinatorics

[Cam94] “Combinatorics: Topics, Techniques, Algorithms”. P. J. Cameron. Cambridge University Press. Copyright © 1994 .

[EJC] The Electric Journal of Combinatorics. URL.

[DesignTheory] DesignTheory.org. URL.

[DiB99] “Graph Drawing”. G. Di Battista, P. Eades, and I. G. Tollis. Prentice-Hall. Copyright © 1999 .

[Die05] Graduate Texts in Mathematics. 173. 3. “Graph Theory”. R. Diestel. Springer Verlag. Copyright © 2005 .

[God93] “Algebraic Combinatorics”. C. D. Godsil. Chapman And Hall Mathematics. Copyright © 1993 .

[God00] Graduate Texts in Mathematics. 207. “Algebraic Graph Theory”. C. Godsil and G. Royle. Springer Verlag. Copyright © 2000 .

[Gra95] “Handbook of Combinatorics I + II”. R. L. Graham, M. Grötschel, and L. Lovász. Elsevier. Copyright © 1995 .

[Jen95] “Graph Coloring Problems”. T. R. Jensen and B. Toft. Wiley. Copyright © 1995 .

[Luk82] J. Comp. Syst. Sci.. 25. “Isomorphism of graphs of bounded valence can be tested in polynomial time”. E. M. Luks. Copyright © 1982 . 42-65.

[Moh01] “Graphs on Surfaces”. B. Mohar and C. Thomassen. Hohns Hopkins University Press. Copyright © 2001 . URL.

[Mol01] “Graph Colouring and the Probabilistic Method”. M. Molloy and B. Reed. Springer Verlag. Copyright © 2001 .

[Nauty] The Nauty Page. B. D. McKay. URL.

[Rem03] “Graph isomorphism problem”. Backelor Project. V. Remie. Copyright © 1997 . Eindhoven University of Technology. URL.

[SEIS] Sloane's On-Line Encyclopedia of Integer Sequences. Copyright © . URL.

[Tho94] Journal of combinatorial theory. Series B 62. . “Five-Coloring Graphs on the Torus”. C. Thomassen. Copyright © 1994 . 11-33.

[Tho97] Transactions of the americ. mathematical society. 349. 11. “Coloring Graphs with fixed genus and girth”. C. Thomassen and J. Gimbel. Copyright © 1997 . 4555-4564.

[Tut01] “Graph Theory”. W. T. Tutte. Copyright © 2001 .

[Wil78] Selected Topics in Graph Theory. L. W. Beineke and R. J. Wilson. Copyright © 1978 . “Eigenvalues”. Wilson et. al.

[Bei04] Topics in Algebraic Graph Theory. L. W. Beineke, R. J. Wilson, and P. J. Cameron. Cambridge University Press. Copyright © 2004 . “Computing with graphs and groups”. L. H. Soicher. URL.

[Zie04] “Polyhedral surfaces of high genus”. G. M. Ziegler. Copyright © 2004 . URL.

Topology

[Bau89] Cambridge Studies in Advanced Mathematics. “Algebraic Homotopy”. H. J. Baues. Copyright © 1989 . Cambridge University Press.

[Dwy01] Advanced Courses in Mathematics. “Homotopy Theoretic Methods in Group Cohomology”. W. G. Dwyer and H.-W. Henn. Copyright © 2001 . Birkhäuser.

[Fel01] Graduate Texts in Mathematics. 205. “Rational Homotopy Theory”. Y. Félix, S. Halperin, and J.-C. Thomas. Copyright © 2001 . Springer Verlag.

[Ful95] Graduate Texts in Mathematics. 153. “Algebraic Topology”. A First Course. W. Fulton. Copyright © 1995 . Springer Verlag.

[Gib77] “Graphs, Surfaces and Homology”. P. J. Giblin. Copyright © 1977 . Chapman and Hall.

[Gol82] “Curvature and Homology”. S. I. Goldberg. Copyright © 1982 . Dover Publications Inc..

[Greu76] “Connections, Curvature and Cohomology”. W. Greub, S. Halperin, and R. Vanstone. I, II, III. Copyright © 1976 . Academic Press.

[Hat02] “Algebraic Topology”. A. Hatcher. Copyright © 2002 . Cambridge University Press. URL.

[Lan04] Encyclopaedia of Mathematical Sciences. 141. Low-Dimensional Topology II. R. V. Gamkrelidze and V. A. Vassiliev. Copyright © 2004 Springer Verlag. “Graphs on Surfaces and their Applications”. S. K. Lando and A. K. Zvonkin.

[Ma91] “Manifold Theory”. an introduction for mathematical physicists. D. Martin. Copyright © 1991 . Ellis Horwood Limited.

[Mas91] Graduate Texts in Mathematics. 127. “A Basic Course in Algebraic Topology”. W. S. Massey. Copyright © 1991 . Springer Verlag.

[Sav02] Encyclopaedia of Mathematical Sciences. 140. Low-Dimensional Topology I. R. V. Gamkrelidze and V. A. Vassiliev. Copyright © 2002 Springer Verlag. “Invariants for Homology 3-Spheres”. N. Saveliev.

[Sch94] “The Grothendieck Theory of Dessins d'Enfants”. L. Schneps. Cambridge University Press. Copyright © 1994 .

[Sch97] “Geometric Galois Actions”. Esquisse d'un Programme. L. Schneps and P. Lochak. Cambridge University Press. Copyright © 1997 .

[Stil91] Graduate Texts in Mathematics. 72. “Classical Topology and Combinatorial Group Theory”. J. Stillwell. Copyright © 1980 . Springer Verlag.

Group Theory, Algebra and Representations

[AAA02] Applied Abstract Algebra. Copyright © 2002 . D. Joyner, R. Kreminski, and J. Turisco. URL.

[Ade04] Grundlehre der mathematischen Wissenschaften. 309. 2. “Cohomology of Finite Groups”. A. Adem and R. J. Milgram. Copyright © 2004 . Springer Verlag.

[Aschb86] “Finite group theory”. M. Aschbacher. Copyright © 1986 . Cambridge University Press.

[Aschb94] “Sporadic Groups”. M. Aschbacher. Copyright © 1994 . Cambridge University Press.

[Aschb04] “The Status of the Classification of the Finite Simple Groups”. M. Aschbacher. Copyright © 2004 . Notices of the AMS. URL.

[Atlas] ATLAS of Finite Group Representations. URL.

[Ben84] Lecture Notes in Mathematics. “Modular representation theory”. New trends and methods. D. J. Benson. Copyright © 1984 . Springer Verlag.

[Ben05] “Groups, Representations and Cohomology Preprint Archive”. D. J. Benson. Copyright © 2005 . URL.

[Bey80] “Group Extensions, Representations, and the Schur Multiplicator”. F. R. Beyl and J. Tappe. Copyright © 1980 . Springer Verlag.

[Bol99] “Math 214: Theory of Finite Groups”. R. Boltje. Copyright © 1999 . University of California. URL.

[Bre00] London Mathematical Society Lecture Notes Series. “Characters and Automorphism Groups of Compact Riemann Surfaces”. Th. Breuer. Copyright © 2000 . Cambridge University Press. URL.

[Bum97] “Automorphic forms and representations”. D. Bump. Copyright © 1997 . Cambridge University Press.

[Cam99] Permutation Groups. P. J. Cameron. Copyright © 1999 . Cambridge University Press. URL.

[Cam00a] Projective and Polar Spaces. P. J. Cameron. Copyright © 2000 . Lecture Notes. URL.

[Cam00b] Classical Groups. P. J. Cameron. Copyright © 2000 . Lecture Notes. URL.

[Cohomolo] COHOMOLO GAP package. Cohomology groups of finite groups on finite modules. D. F. Holt. Copyright © 2003 . URL.

[CoMoCha92] Computational Modular Character Theory. G. Hiss, Chr. Jansen, K. Lux, and R. Parker. Copyright © 1992 . URL.

[Cur66] “Representation Theory of Finite Groups and Associative Algebras”. C. W. Curtis and I. Reiner. Copyright © 1966 . Interscience.

[Cur81] “Methods of Representation Theory”. C. W. Curtis and I. Reiner. I, II. Copyright © 1981, 1987 . Wiley.

[Dix96] Graduate Texts in Mathematics. 163. “Permutation Groups”. J. D. Dixon and B. Mortimer. Springer Verlag. Copyright © 1996 .

[Far93] Graduate Texts in Mathematics. 144. “Noncommutative Algebra”. B. Farb and R. K. Dennis. Springer Verlag. Copyright © 1993 .

[Ful96a] Graduate Texts in Mathematics. 129. “Representation theory”. W. Fulton and J. Harris. Copyright © 1996 . Springer Verlag.

[Ful96b] London Mathematical Society Series. “Young Tableaux”. W. Fulton. Copyright © 1996 . Cambridge University Press.

[GAP] GAP -- Groups, Algorithms, and Programming. Copyright © 2002 . The GAP Group. URL.

[Gor82] “Finite Simple Groups (An Introduction to their classification)”. D. Gorenstein. Copyright © 1982 . .

[Gor96] Moderne Mathematik. G. Faltings. Copyright © 1996 . Spektrum, Akad. Verlag. “Die Klassifikation der endlichen einfachen Gruppen”. D. Gorenstein.

[GRAPE] The GRAPE package for GAP. L. H. Soicher. Copyright © 2002 . URL. URL.

[Gram02] “On graphs, geometries, and groups of Lie type”. PhD thesis. R. Gramlich. Copyright © 2002 . URL.

[Gri98] “Twelve Sporadic Groups”. R. L. Griess, JR.. Copyright © 1998 . Springer Verlag.

[GrpExpl] “Group Explorer”. N. Carter. URL.

[GrpPbFrm] “Group Pub Forum Archives”. URL.

[Gro85] Graduate Texts in Mathematics. 99. “Finite Reflection Groups”. L. C. Grove and C. T. Benson. Copyright © 1985 . Springer Verlag.

[Hall00] “An Elementary Introduction to Groups and Representations”. B.C. Hall. URL.

[HAP] HAP --- Homological Algebra Programming. Copyright © 2005 . G. Ellis. URL.

[Hol05] Discrete Mathematics and Its Applications. “Handbook of Computational Group Theory”. D. F. Holt, B. Eick, and E. A. O'Brien. Copyright © 2005 . CRC Press.

[Hsu00] Lecture Notes in Mathematics. “Quilts: Central Extensions, Braid Actions, and Finite Groups”. T. Hsu. Copyright © 2000 . Springer Verlag.

[Hsu96] Moonshine, the Monster, and Related Topics. Contemp. Math.. C. Dong and G. Mason. Copyright © 1996 AMS. 193. 113-122. “Some quilts for the Mathieu groups”. T. Hsu. URL.

[Hul01a] Experimental Mathematics. 10. 3. 369-381. “Representing subgroups of finitely presented groups by Quotient Subgroups”. A. Hulpke. Copyright © 2001 . URL.

[Hul01b] “Constructing transitive permutation groups”. A. Hulpke. Copyright © 2001 . URL.

[Hul06] “Notes on Computational Group Theory”. A. Hulpke. Copyright © 2006 . URL.

[Hup67] “Finite Groups”. I - III. B. Huppert and N. Blackburn. Copyright © 1967 . Springer.

[Jam01] “Representations and Characters of Groups”. G. James and M. Liebeck. Cambridge. Copyright © 1993, 2001 .

[Jan05] J. Comput. Math.. 8. 122-144. Copyright © 2005 LMS. “The minimal degrees of faithful representations of the sporadic simple groups and their covering groups”. Chr. Jansen. URL.

[Joh01] “Symmetries”. D. L. Johnson. Copyright © 2001 . Springer Verlag.

[Ker99] Algorithms and Combinatorics. 19. “Applied Finite Group Actions”. A. Kerber. Copyright © 1999 . Springer Verlag.

[Ku04] “The Theory of Finite Groups”. H. Kurzweil and B. Stellmacher. Copyright © 2004 . Springer Verlag.

[Laguna05] LAGUNA GAP package. Lie AlGebras and UNits of group Algebras. V. Bovdi, A. Konovalov, R. Rossmanith, and C. Schneider. Copyright © 2005 . URL.

[Lam05] “Riemannsche Flächen”. K. Lamotke. Copyright © 2005 . Springer Verlag.

[Lux97] Algorithmic methods in modular representation theory . Habilitationsschrift. K. Lux. Copyright © 1997 . RWTH Aachen. URL.

[Ma99] Monographs in Mathematics. “Inverse Galois Theory”. G. Malle and B. H. Matzat. Copyright © 1999 . Springer Verlag.

[Mas01] Notices of the AMS. “The Cooley-Tukey FFT and Group Theory”. D. K. Maslen and D. N. Rockmore. Copyright © 2001 . AMS. URL.

[MatrixSS] Schreier-Sims algorithm for matrix groups. H. Bäärnhielm. URL. URL.

[Mic91] Representation Theory of Finite Groups and Finite-Dimensional Algebras. G. O. Michler and C. M. Ringel. Copyright © 1991 Birkhäuser.

[Mue03] On endomorphism rings and character tables . Habilitationsschrift. J. Müller. Copyright © 2003 . RWTH Aachen. URL.

[Nic94] “Central extensions of polycyclic groups”. PhD thesis. W. Nickel. Copyright © 1994 . URL.

[Pas94] Local Characterizations of Geometries. D. V. Pasechnik. Copyright © 1994 . The University of Western Australia. URL.

[Per02] Permutation groups resources. Copyright © 2002 . Queen Mary University of London - School of Mathematical Sciences. URL.

[Pie80] Graduate Texts in Mathematics. 88. “Associative Algebras”. R. S. Pierce. Copyright © 1980 . Springer Verlag.

[Rot02] “Advanced Modern Algebra”. J. J. Rotman. Copyright © 2002 . Prentice-Hall, Pearson Education.

[Ser97] “An introduction to Computational Group Theory”. Á. Seress. Copyright © 1997 . Notices of the AMS. URL.

[Ser03] “Permutation Group Algorithms”. Á. Seress. Copyright © 2003 . Cambridge University Press.

[Ser96] Graduate Texts in Mathematics. 42. “Linear Representations of Finite Groups”. J. P. Serre. Copyright © 1996 . Springer Verlag.

[UnifWeb94] Unifpack (Web Version 2.0). A Package for Studying Riemann Surfaces with Symmetry. Copyright © 1994 . The Geometry Center University of Minnesota. URL.

Number Theory and Lattices

[Ala04] “Introductory Algebraic Number Theory”. Ş. Alaca and K. S. Williams. Copyright © 2004 . Cambridge University Press.

[Bla02] “The Basics of Abstract Algebra”. P. E. Bland. Copyright © 2002 . W. H. Freeman and Company, New York.

[Coh96] Graduate Texts in Mathematics. 138. “A Course in Computational Algebraic Number Theory”. H. Cohen. Copyright © 1996 . Springer Verlag.

[Con99] “Sphere Packings, Lattices and Groups”. J. H. Conway and N. J. A. Sloane. Copyright © 2001 . Springer Verlag.

[Doy89] Solving the quintic by iteration. P. Doyle and C. McMullen. Copyright © 1989 . URL.

[Esc01] Graduate Texts in Mathematics. 204. “Galois Theory”. J. P. Escofier. Copyright © 2001 . Springer Verlag.

[KASH] Shell of the KANT V4 Software. Copyright © 2003 . The Kant Project. URL.

[Catalogue-Lattice] Index to Catalogue of Lattices. Copyright © 2002 . AT & T. URL.

[Lid94] “Introduction to finite fields and their applications”. R. Lidl and H. Niederreiter. Copyright © 1986, 1994, 1997, 2000 . Cambridge University Press.

[Mal01] A Database for Polynomials over the Rationals. J. Klüners and G. Malle. Copyright © 2001 . URL.

[Ste05] “Introduction to Circle Packing”. The Theory of Discrete Analytic Functions. K. Stephenson. Copyright © 2005 . Cambridge University Press.

[Wol04] ABC for polynomials, dessins d'enfants, and uniformization - a survey. J. Wolfart. Copyright © 2004 . URL.

Algebraic Geometry and Commutative Algebra

[Bay98] Algorithmic Aspects of Invariant Theory. T. Bayer. Copyright © 1998 . URL.

[Ben93] Lecture Notes Series. “Polynomial Invariants of Finite Groups”. D. J. Benson. Copyright © 1993 . Cambridge University Press.

[Bia02] Encyclopaedia of Mathematical Sciences. 131. Invariant Theory and Algebraic Transformation Groups II. R. V. Gamkrelidze and V. L. Popov. Copyright © 2002 Springer Verlag. “Algebraic Quotients. Torus Actions and Cohomology. The Adjoint Representation and the Adjoint Action”. A. Bialynicki-Birula, J. B. Carrell, and W. M. McGovern.

[Bum01] “Algebraic Geometry”. D. Bump. Copyright © 2001 . World Scientific.

[Der02] Encyclopaedia of Mathematical Sciences. 130. Invariant Theory and Algebraic Transformation Groups I. R. V. Gamkrelidze and V. L. Popov. Copyright © 2002 Springer Verlag. “Computational Invariant Theory”. H. Derksen and G. Kemper.

[Dol03] Lecture Notes Series. “Lectures on Invariant Theory”. I. Dolgachev. Copyright © 2003 . Cambridge University Press.

[Eis95] Graduate Texts in Mathematics. 150. “Commutative Algebra with a view toward Algebraic Geometry”. D. Eisenbud. Copyright © 1995 . Springer Verlag.

[Geck03] Oxford Graduate Texts in Mathematics. 10. Copyright © 2003 Oxford Science Publications. “An Introduction to Algebraic Geometry and Algebraic Groups”. M. Geck.

[Gre02] “A Singular introduction to commutative algebra”. G.-M. Greuel. Springer Verlag. Copyright © 2002 .

[Kem01] Experimental Mathematics. 10. 537-542. A Database of Invariant Rings. G. Kemper, E. Körding, G. Malle, B. H. Matzat, D. Vogel, and G. Wiese. Copyright © 2001 . URL.

[Kre00] “Computational Commutative Algebra I”. M. Kreuzer and L. Robbiano. Springer Verlag. Copyright © 2000 .

[Lor05] Encyclopaedia of Mathematical Sciences. 135. Invariant Theory. R. V. Gamkrelidze and V. L. Popov. Copyright © 2005 Springer Verlag. “Multiplicative Invariant Theory”. M. Lorenz.

[Plu03] PLURAL SINGULAR package. V. Levandovskyy. Copyright © 2003 . URL.

[Rei88] LMS Student Texts. 12. “Undergraduate Algebraic Geometry”. M. Reid. Copyright © 1988 . Cambridge University Press.

[Singular] A Computer Algebra System for Polynomial Computations. G.-M. Greuel, G. Pfister, and H. Schönemann. Copyright © 2003 . Centre for Computer Algebra, University of Kaiserslautern. URL.

[Singular03] SINGULAR GAP package. The GAP interface to Singular. M. Costantini and W. A. de Graaf. Copyright © 2003 . URL. URL.

[Stu93] Texts and Monographs in Symbolic Computation. “Algorithms in Invariant Theory”. B. Sturmfels. Copyright © 1993 . Springer Verlag.

[Stu96] University Lecture Series. 8. “Gröbner Bases and Convex Polytopes”. B. Sturmfels. Copyright © 1996 . AMS.

[Toth00] “Glimpses of Algebra and Geometry”. G. Toth. Copyright © 2000 . Springer Verlag.

Lie Theory and Geometric Algebra

[ADE] A Rapid Introduction to ADE Theory. J. McKay. URL.

[Bak02] Springer Undergraduate Mathematics Series. “Matrix Groups: An Introduction to Lie Group Theory”. A. Baker. Copyright © 2002 . Springer Verlag.

[Bum04] Graduate Texts in Mathematics. 225. “Lie Groups”. D. Bump. Copyright © 2004 . Springer Verlag.

[Cah84] Semi-Simple Lie Algebras and Their Representations. R. N. Cahn. Copyright © 1984 . Benjamin/Cummings. URL.

[Car85] “Finite groups of Lie type”. Conjugacy classes and complex characters. R. W. Carter. Copyright © 1985 . Wiley.

[Cip00] The McKay Correspondence. M. Çiperlani. Copyright © 2000 . URL.

[Cor89] “Group Theory in Physics”. I - III. J. F. Cornwell. Copyright © 1984/1989 . Academic Press.

[Drai02] “Lie Algebras of Vector Fields”. PhD thesis. J. Draisma. Copyright © 2002 . URL.

[Erd06] Springer Undergraduate Mathematics Series. “Introduction to Lie Algebras”. K. Erdmann and M. J. Wildon. Copyright © 2006 . Springer Verlag.

[Fu95] “Affine Lie algebras and quantum groups”. J. Fuchs. Copyright © 1995 . Cambridge University Press.

[Fu00] “Symmetries, Lie algebras and representations”. J. Fuchs and Chr. Schweigert. Copyright © 2000 . Cambridge University Press.

[Gar97] Buildings and Classical Groups. P. Garrett. Copyright © 1997 . Chapman & Hall. URL.

[GC02] Geometric Calculus - R & D. Copyright © 2002 . URL.

[Goo98] Encyclopedia of Mathematics and its Applications. 68. Goo98“Representations and Invariants of the Classical Groups”. R. Goodman and N. Wallach. Copyright © 1998 . Cambridge University Press.

[Gri99] Bulletin (New Series) of the American Mathematical Society. 36. “Finite Simple Groups which projectively embed in an exceptional Lie group are classified”. R. L. Griess, JR. and A. J. E. Ryba. Copyright © 1999 . AMS. URL.

[Gro03] “Calabi-Yau Manifolds and Related Geometries”. M. Gross, D. Huybrechts, and D. Joyce. Copyright © 2003 . Springer Verlag.

[Kna02] “Lie Groups beyond an introduction”. A. W. Knapp. Copyright © 2002 . Birkhäuser Verlag.

[Ha89] “The Classical Groups and K-theory”. A. J. Hahn and O. T. O'Meara. Copyright © 1989 . Springer Verlag.

[Hob02] “Platonic solids, binary polyhedral groups, Kleinian singularities and Lie algebras of type A, D, E (Master's Thesis)”. J. van Hoboken. Copyright © 2002 . University of Amsterdam, Faculty of Mathematics. URL.

[Hsia00] “Lectures on Lie groups”. 2. W. Y. Hsiang. Copyright © 2000 . World Scientific.

[Hua99] “Lectures on Representation Theory”. J. S. Huang. Copyright © 1999 . World Scientific.

[Hum70] “Ordinary and Modular Representations of Chevalley Groups”. J. Humphreys. Copyright © 1970 . Springer Verlag.

[Hum72] Graduate Texts in Mathematics. 9. “Introduction to Lie Algebras and Representation Theory”. J. Humphreys. Copyright © 1972 . Springer Verlag.

[Hum81] Graduate Texts in Mathematics. 21. “Linear Algebraic Groups”. J. Humphreys. Copyright © 1981 . Springer Verlag.

[Kna88] “Lie Groups, Lie Algebras, and Cohomology”. A. W. Knapp. Copyright © 1988 . Princeton University Press.

[Lip99] “(Schaum's Outline of) Linear Algebra”. S. Lipschutz. 2. Copyright © 1999 . McGraw-Hill Trade.

[Lou01] “Clifford Algebras and Spinors”. P. Lounesto. Copyright © 1997, 2001 . Cambridge University Press.

[Por95] “Clifford Algebras and the Classical Groups”. I. Porteous. Copyright © 1995 . Cambridge University Press.

[Sel67] “Modular Lie algebras”. G. B. Seligman. Copyright © 1967 . Springer Verlag.

[Stra88] “Modular Lie algebras and their Representations”. H. Strade and R. Farnsteiner. Copyright © 1988 . M. Dekker, Inc..

[TS] Mathematics. T. Smith. URL. URL.

[Var84] Graduate Texts in Mathematics. 102. “Lie groups, Lie Algebras and Their Representations”. V. S. Varadarajan. Copyright © 1984 . Springer Verlag.

[Wei00] An Introduction to algebraic K-theory. Ch. Weibel. Copyright © 2000 . URL.

[Woit02] Lie Groups and Representations: Mathematics. P. Woit. Copyright © 2002 . URL.

Polyhedra, Tesselations, Tilings

[Bula] V. Bulatov's Polyhedra Collection. URL.

[CG99] Computational Geometry. URL.

[Christy] “Pentacontihexahedron”. J. Christy. Copyright © . URL.

[Cro97] “Polyhedra”. P. Cromwell. Copyright © 1997 .

[Egan05] “KleinDual”. G. Egan. Copyright © 2005 . URL.

[Goo97] “Handbook of Discrete and Computational Geometry”. J. E. Goodman and J. O'Rourke. Copyright © 1997 . CRC.

[Har86] “Symmetry”. I. Hargittai. Copyright © 1986 .

[Har89] “Symmetry 2, Unifying Human Understanding”. I. Hargittai. Copyright © 1989 . Pergamon Press.

[JV] JavaView. URL.

[PC00] Polyhedral Computation. URL.

[Pl98] Polylib. URL.

[PlMk] Polymake. URL.

[Po97] “Serie zur räumlichen Geometrie”. Unendliche Polyeder: Fast Platonische Körper - das wohltemperierte Dodekaeder. Chr. Pöppe. Copyright © 1997 - 2004 . Spektrum der Wissenschaften. URL.

[Polytopia] Polytopia: 120 cell. URL.

[PPL01] The Pharma Polyhedra Library. URL.

[VP96] Virtual-Polyhedra. URL.

[Wolfram] Wolfram Graphics Polyhedra Overview. URL.

Noncommutative and Differential Geometry, Quantum Algebra

[Bra] Differential Geometry (periodic surfaces). URL.

[Cal03] “Classical Geometry - Lecture Notes”. D. Calegari. URL.

[Con00] “Noncommutative Geometry Year 2000”. A. Connes. URL.

[Cram86] “Applicable Differential Geometry”. M. Crampin and F. A. E. Pirani. Cambridge University Press. Copyright © 1986 .

[Goe96] Einführung in die spezielle und allgemeine Relativitätstheorie. H. Goenner. Copyright © 1996 . Spektrum Akademischer Verlag.

[Fen00] “Discrete Torsion, Non-Abelian Orbifolds and the Schur Multiplier”. B. Feng, A. Hanany, Y. He, and N. Prezas. URL.

[Fen01] “Discrete Torsion, Covering Groups and Quiver Diagrams”. B. Feng, A. Hanany, Y. He, and N. Prezas. URL.

[Gra] Differential Geometry -- Minimal Surfaces. URL.

[Fre00] “Vertex representations via finite groups and the McKay correspondence”. I. Frenkel, N. Jing, and W. Wang. URL.

[Gra98] “Modern Differential Geometry (of curves and surfaces with Mathematica™)”. A. Gray. Copyright © 1998 . CRC-Press. 2.

[Jon03] “In and around the origin of quantum groups”. V. F. R. Jones. URL.

[Lan97] “An Introduction to Noncommutative Spaces and their Geometry”. G. Landi. Copyright © 1997 . URL.

[Long02] “All flat manifolds are cusps of hyperbolic orbifolds”. D. D. Long and A. W. Reid. Algebraic and Geometric Topology. Copyright © 2002 . URL. URL.

[Maj02] London Mathematical Society Lecture Notes Series. “A Quantum Groups Primer”. S. Majid. Copyright © 2002 . Cambridge University Press.

[Ruan00] “Discrete torsion and twisted orbifold cohomology”. Y. Ruan. Copyright © 2000 . URL.

[SGP] Scientific Graphics Project. URL.

[Sal89] Riemannian geometry and holonomy groups. S. Salamon. Copyright © 1989 . Longman Group UK.

[WTGRH] Differential Geometry. URL.

[Til] Tilings, Hyperbolic Geometry and Computational Group Theory. URL.

[Wal04] Graduate Texts in Mathematics. 224. “Metric Structures in Differential Geometry”. G. Walschap. Copyright © 2004 . Springer Verlag.

QuasiCrystals, Cellular Automata, Difference Equations

[Automaton] Hex Cellular Automaton. URL.

[Baa99] “Similarity submodules and root systems in four dimensions”. M. Baake and R. V. Moody. Copyright © 1999 . URL.

[Baa02a] “Die verborgene Ordnung der Quasikristalle”. M. Baake, U. Grimm, and R. V. Moody. Spektrum der Wissenschaften. Copyright © 2002 . URL.

[Baa02b] “Combinatorial problems of (quasi-)crystallography”. M. Baake and U. Grimm. Copyright © 2002 . URL.

[Baa03] “Bravais colourings of planar modules with N-fold symmetry”. M. Baake and U. Grimm. Copyright © 2003 . URL.

[CA] Cellular Automata. URL. URL.

[Cul05] Undergraduate Texts in Mathematics. “Difference Equations”. From Rabbits to Chaos. P. Cull, M. Flahive, and R. Robson. Copyright © 2005 . Springer Verlag.

[Ela99] Undergraduate Texts in Mathematics. “An Introduction to Difference Equations”. S. N. Elaydi. Copyright © 1999 . Springer Verlag. 2.

[Glin] CA on QuasiCrystal (Penrose). URL.

[JouDi] Journal of Difference Equations and Applications. URL.

[Hex] CA on triangle or hexagonal lattice. URL.

[Life] “Game of Life”. J. Conway. URL. URL.

[Mic90] “Difference Equations”. R. E. Mickens. Copyright © 1990 . Van Nostrand.

Symmetry Theory, Mathematical Physics

[Adl04] A Series of Modern Surveys in Mathematics. Algebraic Integrability, Painlevé Geometry and Lie Algebras. 47. M. Adler, P. Van Moerbeke, and P. VanHaecke. Copyright © 2004 . Springer Verlag.

[Bess94] Was sind und was leisten Symmetrien von Differentialgleichungen. I, II.1, II.2. R. Bessenrodt. Copyright © 1994 . HHUD Press.

[Blu89] Symmetries and Differential Equations. G. W. Bluman and S. Kumei. Copyright © 1989 . Springer Verlag.

[Fey88] SuperStrings - A Theory of Everything?. P. C. W. Davies and J. R. Brown. Copyright © 1988 . Cambridge University Press.

[Hyd00] Symmetry Methods for Differential Equations: A Beginner's Guide. P. E. Hydon. Copyright © 2000 . Cambridge University Press.

[Nolt98] Grundkurs: Theoretische Physik. W. Nolting. Copyright © 1992, 1998. Verlag Zimmermann-Neufang / Vieweg.

[Olv86] Applications of Lie Groups to Differential Equations. P. J. Olver. Copyright © 1986 . Springer Verlag.

[Olv95] Equivalence, Invariants and Symmetry. P. J. Olver. Copyright © 1995 . Cambridge University Press.

[Ste89] Differential Equations - Their solution using symmetries. H. Stephani. Copyright © 1989 . Cambridge University Press.

[Doy00] Random walks and electric networks. P. G. Doyle and J. L. Snell. Copyright © 2000 . URL.

[Spi65] “Schaum's Outline of Laplace Transforms”. M. R. Spiegel. Copyright © 1965 . McGraw-Hill Trade.

Complexity Theory

[Bra88] “Algorithms -- Theory and Practice”. G. Brassard and P. Bratley. Copyright © 1988 .

[Clay00] ClayMath Millenium Prizes. URL.

[Cor90] “Introduction to Algorithms”. Th. Cormen, Ch. Leiserson, and R. Rivest. Copyright © 1990 . MIT_Press.

[Gar79] “Computers and Intractability; a Guide to the theory of NP-completeness”. M. R. Garey and D. S. Johnson. Copyright © 1979 .

[Gat99] “Modern Computer Algebra”. J. v. z. Gathen and I. Gerland. Copyright © 1999 .

[Lew78] H. R. Lewis and Ch. H. Papadimitriou. 238. 1. Sci. American. 1978. The efficiency of Algorithms. Copyright © 1978 .

[Ueha98] “Probabilistic Algorithms and Complexity Classes”. R. Uehara. Copyright © 1998 The University of Electro-Communications. URL.

Games and Puzzles

[AG] Abstract Games Magazine. URL.

[Bea89] “The Mathematics of Games”. J. D. Beasley. Copyright © 1989 .

[Ber82] “Winning ways for your mathematical plays”. E. Berlekamp, J. H. Conway, and R. K. Guy. Copyright © 1982 .

[Cul94] University of Alberta Computing Science Technical Report TR94-08 . “Efficiently Searching the 15-Puzzle”. J. C. Culberson and J. Schaeffer. Copyright © 1994 . URL. URL.

[Egn98] Proc. of the Int'l Symposium on Symbolic and Algebraic Computing (ISSAC). “Solving Puzzles related to Permutation Groups”. S. Egner and M. Püschel. Copyright © 1998 . URL.

[Kor96] Finding optimal solutions to the Twenty-Four Puzzle. R. E. Korf and L. A. Taylor. Copyright © 1996 . URL.

[KTN] Knight's Tour Notes. URL.

[Loyd] Loyd's 15-16 Puzzle. URL.

[M13] Conway's M13. URL.

[Pee] Ed Pegg's Puzzle Page. URL.

[Queens] N Queens without backtracking search. URL. URL. URL.

[WolframChess] non-attacking kings. From MathWorld -- A Wolfram Web Resource. E. W. Weisstein. URL. URL.

Game Theory, Engines, Software

[All88] A Knowledge based approach of Connect Four. L. V. Allis. URL. Copyright © 1988 .

[All-Go-Moku-I] Go-Moku and Threat-Space Search. L. V. Allis, H. J. van den Herik, and M. P. H. Huntjens. Copyright © 1993 .

[All-Go-Moku-II] Proc. of the AAAI. “Go-Moku Solved by New Search Techniques”. L. V. Allis, H. J. van den Herik, and M. P. H. Huntjens. Copyright © 1993 .

[Arimaa] Arimaa. The game of real intelligence. URL.

[Bro97] “Asynchronous Parallel Game-Tree Search”. Copyright © 1997 . URL.

[Breu98] Ph.D. thesis: Memory versus Search in Games. D. M. Breuker. Copyright © 1998 .

[Ber00] “The Dots and Boxes Game”. Sophisticated Child's Play. E. R. Berlekamp. A K Peters. Copyright © 2000 . URL.

[Bew04] “Luck, Logic, and White Lies ”. The Mathematics of Games. J. Bewersdorff. A K Peters. Copyright © 2004 . URL.

[Bro05] “Connection Games”. Variations on a Theme. C. Browne. A K Peters. Copyright © 2005 . URL.

[Buggy] Buggy the draughts program. URL.

[Chi] Chinook. URL.

[Gambit] Gambit Game Theory Analysis Software and Tools. URL.

[Holtz] Zèrtz game software. M. Trautmann and F. Fischer. URL.

[JHex] JHex. URL.

[Moku] The Moku Family. URL.

[Now96] MSRI Publications. 29. Cambridge University Press. Games of No Chance. R. J. Nowakowski. Copyright © 1996 . URL.

[Nau80] AAAI: Proceedings. URL. “Pathology on Game Trees: A Summary of Results”. D. S. Nau. Copyright © 1980 . URL.

[Nau83] Artificial Intelligence. 21. “Pathology on Game Trees revisited and an alternative to minimaxing”. D. S. Nau. Copyright © 1983 .

[Neutreeko] Neutreeko. J. K. Haugland. URL.

[Octi] Octi online. URL.

[Overflow] Overflow - The Game. T. B. Laursen. URL.

[Pea84] “Heuristics: Intelligent search strategies for computer problem solving”. J. Pearl. Copyright © 1984 . Addison-Wesley Publishing Company.

[Pen] Pente. URL.

[Pla96] Research Series. 117. Tinbergen Institute. “Research Re: search & Re-search”. PhD thesis. A. Plaat. Copyright © 1996 .

[Renju] Online Renju Class. URL.

[Rij00] “Computer Hex: Are Bees better than Fruitflies?”. M.Sc. thesis. J. van Rijswijck. Copyright © 2000 . URL. URL.

[Six] A Hex playing program. URL.

[Stahl] Stahlfaust - Gomoku AI player. URL.

[TwixT] TwixT fanatic. URL.

[Ulf00] “a Chinese Checkers playing program”. P. Ulfhake. Copyright © 1999, 2000 . URL.

[Halma00] HalmaGame. R. Klaehn. Copyright © 2000 . URL.

[VKP] Chinese Checkers - computer games, rules and history. URL.

Go

[AGB02] “Annotated Go Bibliographies”. D. Carlton. Copyright © 2002 . URL.

[GoBooks] “Go Bibliographies”. URL.

[3dGo] “3d Battle Go”. URL.

[Ber94] “Mathematical Go”. Chilling Gets the Last Point. E. R. Berlekamp and D. Wolfe. A K Peters. Copyright © 1994 . URL.

[CGOS] “CGOS - A 9x9 Computer Go Server”. URL.

[CGSuite] “Combinatorial Game Suite”. URL.

[CGT] Combinatorial Game Theory. URL. URL. URL.

[FreedGo] “Freed Go and Gox”. The Game of Go in 3D / Hexagonally. URL. URL.

[GV] Go Variants. URL.

[Feld] “Commented Bestiary”. URL.

[GB] “Go Base”. URL.

[Gogo] Gogo (Go variant on a torus). URL.

[GNU Go] GNU Go. URL.

[GZ] Gozilla. URL.

[GN] “Go News & Topics”. URL.

[Go4Go] “Go4Go.net -- Promoting Go (WeiQi, Baduk)”. URL.

[GoGrinder] “GoGrinder”. URL.

[GoGameWorld] “Go Game World”. URL.

[GnomeGo] “GnomeGo GUI”. URL.

[GoP] “Go Problems”. URL.

[GTL] “Go Teaching Ladder”. URL.

[HandyGo] “HandyGo - J2ME Weiqi/Go Client”. URL.

[JimmyGo] “JimmyGo - J2ME SGF Viewer”. URL.

[Go-Links] “Go related bookmarks”. URL. URL.

[Go Rules] “Go (Weiqi, Baduk) Rules”. R. Jasiek. URL.

[Mat91] “Go - der richtige Zeitpunkt”. J. Mattern. Copyright © 1991 . Carola-Wild-Verlag, Kassel.

[mGo] “mgo - The Game of Go on Mobile Phones”. URL.

[NeuroGo] Computer Go / NeuroGo. URL. URL.

[Orego] “Orego”. URL.

[Sensei] “Sensei's Go Library”. (Wiki Wiki WebSite). URL.

[Ste04] Advances in Neural Information Processing Systems. 17. “Modelling Uncertainty in the Game of Go”. D. Stern, T. Graepel, and D. J. C. MacKay. Copyright © 2004 . URL.

[Tsu] “Tsumego Homepage”. URL.

[u-go] “u-go.net”. U. Goertz. URL.

[WebGo] Go Game Software. M. Reiss. URL. URL.

[Werf03] ICGA. 26. “Solving Go on Small Boards”. E. C. D. van der Werf, H. J. van den Herik, and J. W. H. M. Uiterwijk. Copyright © 2003 . URL.

[WingsGo] “Go on Go: The analyzed games”. G. Seigen. “How to play against stronger players (I + II)”. S. Michiharu. URL. URL.

[Yom] “Daily Yomiuri Online”. URL.

Chess

[Bak83] “Ungarische Schachproblem Anthologie”. G. Bakcsi. Copyright © 1983 .

[ChP] “Chess Problems”. URL.

[ChessVar] Fairy Chess variants. URL.

[Che91] “Lehr- und Handbuch der Endspiele I-IV”. A. Chéron. Das Schach-Archiv. Copyright © 1991 .

[CS] Computer Chess. URL.

[Crafty] Crafty. M. Hyatt. URL. URL.

[Fab72] “Kurioses Schach”. K. Fabel. W. Rau Verlag. Copyright © 1972 .

[Fab76] “Einführung in das Problemschach”. K. Fabel. Schachverlag R. Schmaus. Copyright © 1976 .

[Gik91a] “Faszination Computerschach”. E. Gik. W. Rau Verlag. Copyright © 1991 .

[Gik91b] “Schach Studien”. E. Gik and A. Karpow. Beyer Verlag. Copyright © 1991 .

[GNU Chess] GNU Chess. URL.

[Hei00] “Scalable Search in Computer Chess”. Algorithmic Enhancements and Experiments at High Search Depths. E. A. Heinz. Vieweg Verlag. Copyright © 2000 . URL.

[Kar91] “Schach-Studien”. A. Karpow and J. Gik. Beyer Verlag. Copyright © 1991 .

[Kasp85] “Zauber des Endspiels”. H. Kasparjan. W. Rau Verlag. Copyright © 1974, 1985 .

[Kra82] “Im Banne des Schachproblems”. A. Kraemer and E. Zepler. de Gruyter. Copyright © 1982 .

[More01] Computer Chess. B. Moreland. URL. Copyright © 2001 .

[Pha] Phalanx Chess engine. URL.

[Spe80] “Das logische Schachproblem”. W. Speckmann. W. Rau Verlag. Copyright © 1980 .

[Spe82] “Strategie im Schachproblem”. W. Speckmann. de Gruyter. Copyright © 1982 .

[Spe85] “Perlen der Schachkomposition (3-Züger)”. W. Speckmann. de Gruyter. Copyright © 1985 .

[Spe88] “Schachminiaturen mit schwarzer Dame”. W. Speckmann. Beyer Verlag. Copyright © 1988 .

[Schwa] Schwalbe HomePage. URL.

[ShredEndDB] Shredder Endgame Database. URL.

[Sjeng] Sjeng: a chess-and-variants playing program. URL.

[Xiangqi] Xiangqi-Engine (Chinese Chess). URL.

[WBEC] WBEC Ridderkerk. URL.

[Fairy-Chess-Wiki] Fairy Chess Piece. URL.

Online Games Sites, Clients, Editors, Clubs, Events

[BS] BoardSpace. A Place for Board Games. URL.

[ChessDB] ChessDB - a free Chess Database. URL.

[CompGo] Computer-Go. URL.

[ChessGames] ChessGames. Online Chess Games Database. URL.

[ccGo] Go (IGS) client. URL.

[CGF] Computer Go Forum. WCGC Gifu Challenge. URL.

[CGoban] CGoban. URL. URL.

[DGoB] Deutscher Go Bund. URL.

[Dweebo] Dweebo's Stone Games. URL.

[Eboard] Eboard Chess board interface. URL.

[EurGo] European Go Federation. URL.

[FICS] Free Internet Chess Server. URL.

[GGS] Generic Game Server. URL.

[gGo] gGo Java Client and SGF editor. URL.

[GTP] Go Text Protocol. URL.

[ProGoR] “Go Ratings of Professional and Strong Amateur Players”. URL.

[ICGA] ICGA. URL. URL.

[IGS] Internet Go Server. URL.

[IGF] “Intelligent Go Foundation”. URL.

[IYT] ItsYourTurn. URL.

[JaGo] JaGo Java Client and SGF editor. URL.

[Jin] Java client for Chess servers. URL.

[JiGo] Java based Interface for Go. URL.

[KGS] KGS Go Server. URL.

[LG] Little Golem. online board games. URL.

[MiA] MindSports ArenA. URL.

[MSO] “Mind Sports Olympiad Worldwide”. URL.

[MyChess] “MyChess.com - Chess to enjoy”. URL.

[Nihon Ki-in] Nihon Ki-in (Japanese Go Association). URL.

[NNGS] NN Go Server. URL.

[Olympiad] Computer Olympiad (2001-2006). WCCC. URL.

[Quarry] Quarry. URL.

[RHP] RedHotPawn.com - Play free online chess. URL.

[Scid] Scid - A Chess Database Application. URL.

[TWIC] The Week in Chess. URL.

[XBoard] XBoard. URL.

[Yahoo-BG] Yahoo Board Games. URL.

[Webring] Weiqi Webring. URL.

XML, JAVA, 3D

[ArgoUML] ArgoUML. (a Java based CASE tool). URL.

[DocBook] DocBook. URL. URL.

[DBLTX] DBLaTeX. URL.

[F4] Forza4. (source free to use and redistribute, please state origin, commerce must be asked about). W. Gamba. URL.

[FlyingGuns] FlyingGuns - A Distributed 3D Simulation Framework. URL.

[GCJ] The GNU Compiler for the JAVA programming language. URL.

[Gra99] “Patterns in Java I + II”. M. Grand. Wiley. Copyright © 1999 .

[GraphML] GraphML. URL.

[GXL] GXL. URL.

[Har99] “XML Bible”. E. R. Harold. IDG Books Worldwide, Inc.. Copyright © 1999 .

[Java] Sun Java and Java3D. URL. URL.

[Java3D] Java3D. URL.

[J3D] J3D.ORG - Tutorials, Resources, Source Code, Links, Books and more for the beginner and advanced Java 3D programmer. URL.

[JOGL] Java bindings for OpenGL. URL.

[JSR-184(M3G)] Mobile 3D Graphics API for J2ME. URL. URL. URL.

[MathML] Mathematical Markup Language. URL. URL.

[NBIO] Nonblocking I/O for Java. URL. . URL.

[Perlin] Noise and Turbulence (Procedural Textures). URL.

[Saxon-B] SAXON. The XSLT and XQuery Processor. URL.

[VRMLGraph] VRMLGraph. LGPL. P. J. Mutton. URL.

[Wings3D] Wings 3D. URL.

[Xalan-J] Xalan-Java XSLT processor. URL.

[Xith3D] High performance scenegraph and renderer for gaming. URL. URL. URL.

[Xj3D] Xj3D. URL.

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