61. The Book "A=B" combinatorics text by Marko Petkovsek, Herbert Wilf and Doron Zeilberger. Published by A. K. Peters. PDF. http://www.cis.upenn.edu/~wilf/AeqB.html

Home Page for the Book "A=B" by Marko Petkovsek Herbert Wilf and Doron Zeilberger with a Foreword by Donald E. Knuth (read it below) YOU CAN NOW DOWNLOAD THE ENTIRE BOOK About the Book "A=B" is about identities in general, and hypergeometric identities in particular, with emphasis on computer methods of discovery and proof. The book describes a number of algorithms for doing these tasks, and we intend to maintain the latest versions of the programs that carry out these algorithms on this page. So be sure to consult this page from time to time, and help yourself to the latest versions of the programs. In addition to programs, we will post here other items of interest relating to the book, such as the current errata sheet (see below). The other side of the coin is that we invite your comments about the content of the book, the programs, any errors that you may discover, or whatever. You can send us your comments by e-mail if you wish. The book is a selection of the Library of Science. A Japanese translation of A=B, by Toppan Co., Ltd., appeared in November of 1997.

62. Walter Alexandre Carnielli - Personal Homepage State University of Campinas, Brazil Foundations of non-classical logics, many-valued logics, paraconsistent logics, finite and infinite combinatorics. http://www.unicamp.br/cle/carniell.htm

Centre for Logic, Epistemology and the History of Science [CLE] CONTENTS OF THIS PAGE: Current Position Reserch Interests Academic Qualifications Professional Positions ... Recent Students Prof.Dr.Walter Alexandre Carnielli Personal Homepage Postal Address: Centre for Logic, Epistemology and the History of Science - CLEHC State University of Campinas - UNICAMP P.O. Box 6133, 13083-970 Campinas - SP - Brazil Fax:+55-19-3289-3269 - Tel.:+55-19-3788-6515 carniell@cle.unicamp.br Personal Interesting Sites Forthcoming papers ... GT ANPOF Workgroup on Logic National Graduate Association for Philosophy (ANPOF) Standard CV in Portuguese CNPq / Lattes format GLTA Group Last Update: May 07 th

63. Lothaire Lothaire s Books. Applied combinatorics on Words. This is the third Algebraiccombinatorics on Words. This book covers developments http://www-igm.univ-mlv.fr/~berstel/Lothaire/

Lothaire's Books Applied Combinatorics on Words This is the third book in the Lothaire's series, following the volumes ``Combinatorics on Words'' and ``Algebraic Combinatorics on Words'' already published. Its objective is to present in a unified manner the various applications of combinatorics on words. The application areas include core algorithms for text processing, natural language processing, speech processing, bioinformatics, and several areas of applied mathematics such as combinatorial enumeration and fractal analysis. The intended audience is the general scientific community. No special knowledge is needed, and familiarity with the application areas or with the material covered by the previous volumes is not required. In particular, the content, including problems and algorithms, is accessible to anyone working in the area of computer science. As with the previous volumes, this book is written in collaboration by a group of authors, under the guidance of the editors. Content The book is available in compressed PostScript (2.5 MB): Applied Combinatorics on Words . It is organized as follows with links to chapters. (Last modification: June 1, 2004)

64. COLLOQUIUM IN HONOR OF PROFESSOR MICHEL MENDÈS FRANCE Number Theory (analytic number theory, Diophantine approximations, uniform distribution), combinatorics and Physics. University of Bordeaux, 1114 September 2000. http://www.math.u-bordeaux.fr/~stan/Colloque/mmfenglish.html

First Announcement Please inform us at your earliest convenience (before end of June) whether you intend to take part in the conference. The conference fee is Fr 150 to be paid at the beginning of the conference, September 11, 2000. You may find on this link ( speakers ) the first list of invited speakers but also more detailed informations on the program of the conference ( program ) and a map to find the location of the colloquium ( map Please let us know if you need further information (you may also see the page information) . We expect your reply, questions and suggestions by e-mail to our address: stan@math.u-bordeaux.fr or by traditional mail to the address: Jean-Jacques Ruch 33405 TALENCE Cedex FRANCE You will find a registration form on the following page: registration. journal Advisory Committee: Organizing Committee: Pierre Cartier (chairman), Jean-Paul Allouche (chairman), Anne Bertrand, Christophe Doche Jean-Marc Deshouillers, Jean-Jacques Ruch. Pierre Liardet, Michel Olivier

65. Combinatorics/Number Theory RESEARCH DIRECTORY combinatorics/Number Theory Directory. http://www.math.tamu.edu/research/research_areas/cnt.html

Combinatorics/Number Theory Directory The main subareas of interest and the faculty connected with them are listed below. Some of these faculty have additional research interests Graph Theory Arthur Hobbs Analytic Number Theory Doug Hensley Combinatoric Number Theory Itshak Borosh Combinatorial Topology Laura Anderson Toric Varieties J. Maurice Rojas Hal Schenck Algebra Applied Mathematics ... Research Directory

66. Algebraic Combinatorics In Europe A Research Training Network of the European Community. Algebraic combinatoricsin Europe. (ACE). Project overview. When a variety of fields meets combinatorics. http://www.mat.univie.ac.at/~kratt/ace/

A Research Training Network of the European Community Algebraic Combinatorics in Europe (ACE) Overview The Teams Programme Open Positions Activities ... Preprints Project overview When a variety of fields meets combinatorics The origins of Algebraic Combinatorics lie in the desire to advance combinatorial theory from the state as a ``bag of various, isolated tricks" (as it is often seen) to an organised body of algebraic theories that bring order into seemingly disorder. Of course, Gian-Carlo Rota's name has to be mentioned here. He started this development by the introduction of the theory of , and the systematical use and development of umbral calculus in the 60's and 70's. Since then many more algebraic theories have evolved and are still being developed, e.g., theory of "species" and "generatingfunctionology" combinatorial representation theory symmetric functions and tableau calculus combinatorial topology (to mention just a few), bringing increasing insight in and understanding of combinatorial structures. Today, Algebraic Combinatorics concerns itself with the study of combinatorial problems arising from other branches of mathematics and, on the other hand, with the application and use of techniques coming from other parts of mathematics to combinatorial problems. At the heart of the subject there is the development of algebraic theories for the solution of such problems. The implied interactions with other fields are mutually beneficial and concern particularly

67. Peter M Neumann The Queen's College, University of Oxford. Varieties of groups; finite permutation groups; infinite permutation groups; design of grouptheoretic algorithms; soluble groups; quantitative topics in group theory; matrices over finite fields; miscellaneous questions in combinatorics, geometry and general group theory; history of group theory. Chairman of the UK Mathematics Trust. http://www.maths.ox.ac.uk/~neumann/

Dr Peter M Neumann Tel: 01865 279178 Fax: 01865 790819 Email: peter.neumann@queens.ox.ac.uk Personal details Research Recent publications Personal Fellow and Praelector in Mathematics at The Queen's College , since 1966 and Lecturer (CUF) in the University of Oxford since 1967; visiting lecturer or visiting professor at various times at various universities in many parts of the world. In Queen's I teach all branches of pure mathematics to undergraduates. For the University I lecture to undergraduates and graduate students on anything of interest to myself and, I hope, to them; I also supervise MSc and DPhil students in any area related to my own research. So far 30 students have completed doctorates under my supervision. For the three academic years October 1995 to September 1998 I was seconded half-time to Staff Development to help with University Teacher Training within Oxford. Other positions include: Chairman of the United Kingdom Mathematics Trust (UKMT) ; Vice-President of the British Society for History of Mathematics (BSHM) ; Editor of London Mathematical Society Monographs (published for the Society by OUP); editor of

68. SwetsWise: Login www.swetswise.com/link/access_db?issn=09110119 More results from www.swetswise.com Ingenta all issues European Journal of combinatorics user name. password. remember me. enter. Athens click here to loginvia Athens. European Journal of combinatorics, ISSN 0195-6698 in our http://www.swetswise.com/link/access_db?issn=0925-9899

69. Robin Chapman University of Exeter. Number theory, algebra, combinatorics and problem solving. Papers, lecture notes and survey articles. http://www.maths.ex.ac.uk/~rjc/rjc.html

Robin Chapman's Home Page I'm a lecturer in Mathematics at the University of Exeter . My mathematical interests include number theory, algebra, combinatorics and problem solving. This is how I looked on 20th March 1999. This is my teaching page where you'll find details of courses, undergraduate projects etc. And this is my list of publications I have the following manuscripts available: Lecture notes: A Guide to Arithmetic ( dvi ps pdf Notes on Algebraic Numbers ( dvi ps pdf Algebraic Number Theory ( dvi ps pdf Preprints: Cubic identities for theta series in three variables ( dvi ps pdf submitted to The Ramanujan Journal A probabilistic proof of the Andrews-Gordon identities ( dvi ps pdf submitted to Discrete Mathematics Determinants of Legendre symbol matrices ( dvi ps pdf submitted to Acta Arithmetica Evaluation of the Dedekind eta function (with William Hart) ( dvi ps pdf submitted to Canadian Mathematical Bulletin Miscellaneous articles and surveys: Evaluating zeta(2) ( dvi ps pdf This gives (so far) fourteen proofs that the sum of the reciprocals of the squares of the natural numbers equals pi squared over six. Constructions of the Golay codes ( dvi ps pdf So far this is restricted to the binary Golay code. Eight constructions are given.

70. Ingenta: All Issues -- Journal Of Algebraic Combinatorics user name. password. remember me. enter. Athens click here to loginvia Athens. Journal of Algebraic combinatorics, ISSN 09259899 in http://www.ingenta.com/journals/browse/klu/jaco

guest need help? online articles fax/ariel articles user name password remember me Athens click here to login via Athens Journal of Algebraic Combinatorics ISSN 0925-9899 in our archives: Volume 01 (1992) through Volume 19 (2004) Publisher: Kluwer Academic Publishers see publisher's website LATEST NEXT PREVIOUS EARLIEST Volume 19, Issue 2, March 2004 Volume 19, Issue 1, January 2004 Volume 18, Issue 3, November 2003 Volume 18, Issue 2, September 2003 Volume 18, Issue 1, July 2003 Volume 17, Issue 3, May 2003 Volume 17, Issue 2, March 2003 Volume 17, Issue 1, January 2003 LATEST NEXT PREVIOUS EARLIEST Publisher: Kluwer Academic Publishers terms and conditions

71. S. D. Adhikari HarishChandra Research Institute. Number theory and combinatorics. List of publications. http://www.mri.ernet.in/~mathweb/adhikari.html

Sukumar Das Adhikari click to enlarge Email adhikari@mri.ernet.in Professor ( Mathematics) Academic Qualifications M. Sc. in Pure Mathematics from University of Burdwan. Ph. D. in Mathematics from the Institute of Mathematical Sciences, Madras (Degree awarded by the University of Madras). Thesis supervisor : Prof. R. Balasubramanian. Mathematical Interests : Number Theory and Combinatorics. Research Papers On an error term related to the greatest divisor of $n$, which is prime to $k$. (Written jointly with R. Balasubramanian and A. Sankaranarayanan) Indian J. Pure Appl. Math. (with R. Balasubramanian and A. Sankaranarayanan) Hardy - Ramanujan Journal On an error term related to the Jordan totient function $J_k(n)$. (Written jointly with A. Sankaranarayanan) J. Number Theory 34, no 2., 178-188 (1990). A note on a certain error term. (Written jointly with R. Balasubramanian) Arch. Math. Acta Arithmetica 57, no. 2, 83-92 (1991) Lattice points in ellipsoids. Acta Arithmetica 59, no. 4, 329-338 (1991) Towards the exact nature of a certain error term.

72. Bridge Probabilities, Combinatorics And Probability Analysis For Bridge Hands Bridge Probabilities, combinatorics and probability analysis for Bridgehands. Durango Bill s Bridge Probabilities and combinatorics, http://www.durangobill.com/Bridge.html

Durango Bill's Bridge Probabilities and Combinatorics Bridge Probabilities Combinatorics and Probability Analysis for Bridge Hands (Includes how to calculate the results and computer source code) The following sections cover several aspects of Bridge probabilities and combinatorics. Each section has a link that gives the statistical results and another link that shows how the results are calculated. The "How to" sections give both a generalized description of the calculations and algorithm as well as the "C" source code. Math Symbols/Notation: Use this link for explanations of the math symbols used. Generally, we will use math notation as expressed/used in Microsoft's Excel spreadsheets. Bidding Combinatorics: Statistics "How to" calculations There are 1.28746 E+47 (Scientific notation for 128+ billion billion billion billion billion (American billion = 1,000,000,000)) different ways to bid after the cards have been dealt. Most of these sequences are nonsensical, but they are legal, hence they must be counted. This is about 2.4 billion billion times larger than the number of ways that four hands can be dealt from a deck of cards. (Total number of possible deals = FACT(52) / ((FACT(13)^4) = 5.36447 E+28) (Note: The order of the cards in a bridge hand is not relevant.) Bidding combinatorics for a hand is divided into 3 parts. Part one is just to 3 "Passes" before someone mentions a quantity (1 - 7) and a suit (or No Trump). Part 2 contains all quantity and suit bids (We will count suit bids for the stats output) through the last "quantity-suit" bid. This will include all possible intervening bids of "pass", "double", and "redouble". Part 3 comes after the last "quantity-suit" bid, and the only words allowed are "pass", "double", and "redouble".

73. Home Page For Cristina Ballantine College of the Holy Cross. Number Theory, representation theory, automorphic forms, and algebraic combinatorics. Curriculum vitae and publications. http://mathcs.holycross.edu/~cballant/index.html

College of the Holy Cross Department of Mathematics and Computer Science Cristina M. Ballantine Homepage Mathematical Interests: Number Theory, Representation Theory and Automorphic Forms Algebraic Combinatorics Teaching: Spring 2004 MATH 241 - MULTIVARIABLE CALCULUS CV PUBLICATIONS Office: Swords 331 Phone: (508) 793-3940 Fax: (508) 793-3530 email address: cballant@holycross.edu See the Holy Cross homepage Last modified January 14, 2003

74. CBMS 2004 Lecture Series At CSUSM, June 7 -11, 2004 The combinatorics of Large Sparse Graphs An NSFCBMS Regional Conference June 7-11,2004. Department of Mathematics California State University at San Marcos. http://www.csusm.edu/Math/CBMS/

The Combinatorics of Large Sparse Graphs An NSF-CBMS Regional Conference June 7-11, 2004 Department of Mathematics California State University at San Marcos A randomly generated power law graph Fan Chung Graham A random subgraph of the Collaboration graph Series of ten lectures by Fan Chung Graham (UC San Diego). Large sparse graphs refer to graphs that can be used to model very large scale distributed networks that arise in internet computing and biological applications. Analyzing these graphs and understanding their properties is an exciting new area of research that combines techniques from probabilistic combinatorics and classical graph theory. In this CBMS Lecture Series to be held at CSUSM, Professor Fan Chung Graham, who is a leading authority in this area, will give 10 lectures that establish the main results in the field and chart possible future directions for research. Support for interested participants is available, with first priority given to graduate students, postdocs and junior faculty. All interested students and faculty are encouraged to follow the links below and apply. Schedule of talks Invited Speakers Registration information Local information (updated 4/30) The talks will be held in Room 100, University Hall (across from the main entrance of the library). There will be coffee and snacks starting at 9:00 a.m.; the talks start at 9:30 a.m.

75. Zhi-Wei Sun's Home Page Nanjing University. Number theory (especially combinatorial number theory); combinatorics; Group theory; Mathematical logic. Papers and lectures. http://pweb.nju.edu.cn/zwsun/

Initial day: July 31, 2001 Last modified: visits since April 10, 2002 ¡¡¡¡¡¡ ¡¡¡¡¡¡ ¡¡¡¡¡¡ ¡¡¡¡¡¡¡¡¡¡Prof. Dr. Zhi-Wei SUN ¡¡¡¡¡¡¡¡¡¡¡¡Department of Mathematics ¡¡¡¡¡¡¡¡¡¡¡¡Nanjing University ¡¡¡¡¡¡¡¡¡¡¡¡Nanjing 210093 ¡¡¡¡¡¡¡¡¡¡¡¡The People's Republic of China ¡¡¡¡¡¡¡¡¡¡¡¡E-mail: zwsun@nju.edu.cn ¡¡¡¡¡¡¡¡¡¡¡¡Telephone: 0086-25-83594840 ¡¡¡¡¡¡¡¡¡¡¡¡Office in the Dept.: 111A Family Name Sun Zhi Wei Date of Birth October 16, 1965 ¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡¡Nationality The People's Republic of China Research Interests Number Theory (especially Combinatorial Number Theory), ¡¡¡¡¡¡ Combinatorics, Group Theory, Mathematical Logic. Academic Service ¡¡¡¡¡¡ Reviewer for Mathematical Reviews ¡¡¡¡¡¡ Member of the American Mathematical Society ¡¡¡¡¡¡ Referee for J. Number Theory, Discrete Math., Fibonacci Quart., ¡¡¡¡¡¡¡¡ Publ. Math. Debrecen, Math. Slovaca, INTEGERS etc.

76. European Graduate Program ``Combinatorics, Geometry, And Computation'', Berlin - Translate this page A European graduate programme. http://www.cgc.ethz.ch/

77. Florence, University Of Department of Systems and Computer Science. Research areas include adaptive and predictive control, algorithms and data structures, applied mathematics, artificial intelligence, bioengineering and medical informatics, combinatorics, computer vision, databases, formal methods, modeling and identification, nonlinear dynamics, operations research, robust control, and software engineering. http://www.dsi.unifi.it/

Dipartimento di Sistemi e Informatica Department offices are in two different locations. Via di Santa Marta, 3 (Direction) 50139 Firenze Seg: +39.055.4796257 Fax: +39.055.47967363 Via C. Lombroso 6/17 50134 Firenze Seg:+39.055.4796731 Fax: +39.055.4796730 Visitatori Events People Research Teaching ... Webadmin

78. Statistical Mechnics & Combinatorics Research Group Statistical Mechanics and combinatorics Group. Group members My general interestlies in lattice path problems in combinatorics and statistical mechanics. http://www.smac.ms.unimelb.edu.au/

Statistical Mechanics and Combinatorics Group Group members: Academic Staff Professor Anthony J. Guttmann Professor Colin J. Thompson FAA Dr Omar E. Foda (Associate Professor) Dr Paul A. Pearce (Associate Professor) Dr Nicholas C. Wormald (Associate Professor) Dr Richard Brak (Senior Lecturer) Dr Peter Forrester (ARC Senior Research Fellow) Dr Aleks L. Owczarek (ARC Senior Research Fellow) Dr Iwan Jensen (ARC Research Fellow) Postdoctoral Research Fellows Dr. Catherine Greenhill Dr William Orrick Dr Trevor Welsh Postgraduate Students Henry Wong Our Research Area. Statistical mechanics involves the understanding of large complex systems by averaging the behaviour of the individual components. For example, one can understand the behaviour of a gas without describing the motion of all the molecules involved, simply by knowing the type and strength of the forces between the molecules, using the principles of statistical mechanics. This powerful idea can be applied to many and varied systems in the natural world and in the human arena. It was

79. Computer Science Departement - Bordeaux 1 University Computer Science Department. Research areas include combinatorics, algorithmics, logic, automata, parallel computing, symbolic programming, and graphics. http://dept-info.labri.u-bordeaux.fr/ANGLAIS/

Université Bordeaux I UFR Mathématiques et Informatique Computer Science Department The Department Overview Research Fields Services Calendar Programs From Autumn, 2003 on, the University will start a standard European program. Up to 2002-2003 : DEUG Sciences (1st and 2nd years of Higher Education) Licence et maîtrise d'informatique (3rd and 4th years) Licence et maîtrise de mathématiques et informatique (3rd and 4th years) IUP-MIAGE (2nd, 3rd and 4th years) DESS (5th year : engineer's degree) DRT d'Informatique (6th year : research engineering) Postgraduate Practical information Contacts Staff (restricted access) Directions to LaBRI The students' servers Documentation SOCRATES (foreign exchange program) Past examination papers (in French) For further information, please refer either to the CS Department www server (in French) or to the LaBRI www server Anne Dicky

80. Park City Mathematics Institute The 2004 Summer Session will be held July 1131 in Park City, Utah.2004 Research topic Geometric combinatorics;. Organizers Ezra http://www.admin.ias.edu/ma/

Home Institute for Advanced Study Questions and Comments The 2004 Summer Session will be held July 11-31 in Park City, Utah. 2004 Research topic: Geometric Combinatorics; Organizers: Ezra Miller, University of Minnesota Victor Reiner, University of Minnesota Bernd Sturmfels, Clay Senior Scholar in Residence, University of California Berkeley 2004 Education topic: From Policy to Practice: Partnerships with School Districts Coordinators: Gail Burrill, Michigan State University; Joan Ferrini-Mundy, Michigan State University; Daniel Goroff, Harvard University; Carol Hattan, Skyview High School, Vancouver, WA. James King, University of Washington PCMI Program Director C. Herbert Clemens, The Ohio State University PCMI Program Staff Catherine Giesbrecht , Program Administrator Carleen Inderieden , Project Coordinator Contact Information: pcmi@ias.edu PCMI is a program of the Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540

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