 Categorical Geometry  Zhaohua Luo
See a brief tour of categorical geometry, which studies the geometric properties of unitary categories. The categorical approach to algebraic geometry was initiated by Yves Diers in his pioneer book Categories of Commutative Algebras (Oxford University
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 Categories and Combinatorics Group  Mathematics and Statistics, Univ. of Sydney, Australia
Category theory is a recent branch of mathematics originating in algebraic topology, but rapidly establishing connections with algebra, logic, algebraic and differential geometry, and most recently computer science. Category theory is particularly suited
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 Categories, Quantization, and Much More  John Baez
An introductory article touching on noncommutative, but still associative, algebras, the notion of a category, the axioms for a category, and more.
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 Category Theory Demonstrations  Jocelyn Paine
This is a Web page with buttons that generate examples, with diagrams, of concepts in category theory. These include: initial and terminal objects, products and coproducts, equalisers and coequalisers, pullbacks and pushouts, and limits and colimits.
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 Category Theory, Homological Algebra  Dave Rusin; The Mathematical Atlas
A short article designed to provide an introduction to category theory, a comparatively new field of mathematics that provides a universal framework for
discussing fields of algebra and geometry. While the general theory and certain types of categories
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 Category Theory  JeanPierre Marquis
An entry in the Stanford Encyclopedia of Philosophy covers category theory's definitions, history, and philosophical significance. Also includes a bibliography.
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 CATS: Combinatorial Algorithms Test Sets  ACM Journal of Experimental Algorithmics (JEA)
Mission: to facilitate experimental research by standardizing common benchmarks, providing a mechanism for their evolution, making them easily accessible and usable, and identifying significant open questions in the design of good test sets and the assessment
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 Cattle of the Sun  Ivars Peterson (MathTrek)
The story goes that Archimedes of Syracuse (287212 B.C.) was annoyed with Apollonius of Perga (262190 B.C.), who had criticized Archimedes' work on the multiplication of large numbers. For revenge, Archimedes devised a fiendish computational problem
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 CAUSEweb  Dennis K. Pearl, Director
The Consortium for the Advancement of Undergraduate Statistics Education (CAUSE) collects, reviews, develops, and disseminates resources for members of the undergraduate statistics education community. Resources include lesson modules for lecturers; computer
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 cavmaths  Stephen Cavadino
Blog by a maths teacher and KS5 coordinator. Posts, which date back to July, 2012, often incorporate social media and snapshots of scratch work: "Christmaths Projects," "Engaging with Written Feedback," "Consistency, Humour, Well planned Lessons and
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 C/C++ Café: Scientific Computing with C/C++
The site provides an open forum for discussion to assist programmers of scientific applications in analyzing and improving the performance of their code.
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 CC (Concord Consortium) Library: Papers  Robert F. Tinker
From Robert F. Tinker, Director of the Educational Technology Lab of the Concord Consortium, a nonprofit, research and development organization dedicated to furthering the technology revolution worldwide through innovations in hardware, software, learning
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 CCSSI Mathematics
This blog takes "a critical look at the common core state standards in mathematics." Posts, which date back to April, 2012, have included "The concept of none" and "Does a kindergartner need to know what a hexagon is?"
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 Cédric Villani
For mathematicians, the 2010 Fields Medalist offers his publications, lecture notes for students, errata sheets, and his research into collisional kinetic theory (Boltzmann type), collisionless kinetic theory (Vlasov type), and optimal transport. "For
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 CEISMC (Center for Education Integrating Science, Mathematics and Computing)  Georgia Institute of Technology
CEISMC includes the Virtual Institute, which introduces teachers to technology, connects them to the Internet, encourages collaboration, and provides training and resources; and other programs for students and teachers covering: mentoring; career awareness;
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 The Celestial Image of a Polyhedron (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Using the celestial image of a polyhedron to get yet another proof of Descartes' angledefect formula. What pattern is traced out on the celestial sphere when you move a flashlight around on the surface of a cube, keeping its tail as flat as possible
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 Celestial Mechanics and the Stability Problem  Jeff Suzuki, Boston University
A thesis that traces the history of the problem of proving (or not) that the solar system is dynamically stable over a long period of time (like geological eras), between the publication of the Principia of Newton (1687) and the works of Laplace (1787).
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 CelLab  Rudy Rucker and John Walker
Programs to explore cellular automata, for Windows or MSDOS, which allow you to view preset patterns, or create your own rules using Java, C, Basic, or Pascal. Download a copy or subscribe to a mailing list. The substantial User's Manual includes bibliographies
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 Cellular automata and Neural Nets in Basic  Sjoerd.J.Schaper
Some QBasic/FreeBasic programs for graphs, cellular automata and neural
networks. Grids.zip package contains sources, input files and win32
executables. Page contains selected links for further enlightenment.
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 Cellular Automata  Carter Bays
Applets for Conways' Game of Life, pentagonal cellular automata, triangular cellular automata, hexagonal cellular automata, threedimensional (3D) cellular automata, and more.
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 Cellular Automata Dynamics  Rafael Espericueta
Explorations of 0, 1, and 2dimensional cellular automata; and applications of cellular automata to ecosystem modeling. A slide show of the table of contents of the book is available here, as well as the full text of the book, in pdf format.
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 Cellular Automata Miscellanea  José Manuel Gómez Soto
Cellular automata theses, reports of summer research, working papers, lectures, and articles, some in Spanish, many by Harold V. McIntosh. Also, download the CAM/PC exerciser CAMEX and a program collection of NXLCAU, the Linear Cellular Automata for NeXTSTEP.
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 Cellular automata simulator for a *nix platform  Igor Serikov
Key features: declarative input language for rules and for initial patterns definition; ability to emulate Conway's Life Game via proper rules specification; ability to demonstrate self replicating loops; total number of rules can be substantially decreased
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 Celsius to/from Fahrenheit  Math Forum, Ask Dr. Math Common Question
A selection of answers to questions about converting Celsius to and from Fahrenheit, such as "Is there a temperature that is the same on both the Celsius and Fahrenheit scales?"
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 CeMaST: Center for Mathematics, Science, and Technology  Dossey, Loepp, Fisher; Illinois State University
A program founded in 1990 to provide a locus of campuswide efforts for research, teacher education, curriculum development, and dissemination efforts as they apply to integration in mathematics, science, and technology education. Further information
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 Census and Statistics Department, Hong Kong Special Administrative Region  Hong Kong SAR Government Information Centre
The statistics collection department of the Hong Kong Government. Key geographic, climate, population, and socioeconomic data, press releases, other publications, and an overview of the department. Frequently requested timeseries are available online
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 Census Challenges (Math Chat)  Frank Morgan; Christian Science Monitor
Gordon Squire notes that planners for the 2000 U.S. Census wonder what to do about missing certain groups of people such as many homeless in New York. Suggestions include statistical random sampling. What approach would you suggest?
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 Census Sampling Confusion  Ivars Peterson  Science News Online
To obtain a more accurate enumeration in the year 2000, the Census Bureau has proposed integrating the results of conventional counting techniques with the results of a large sample survey of the population, but others want to use the straight count (direct
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 Center for Advancement of Learning: Learning Strategies Database  Muskingum College, New Concord, Ohio
Database of background information, purposes and advantages of various strategies, and descriptions of specific strategies themselves. Subjectspecific strategies, including math, and a variety of general purpose strategies are available.
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 Center for Applications and Technology in Mathematics Education (CATME)  Jeremy Haefner; Mathematics Dept., Univ. of Colorado
A comprehensive technology resource for mathematics instructors. The CATME trains Colorado teachers, through its Certificate Program, on the use of technology for mathematics education, and provides continuing support in the form of a newsletter, a resource
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 Center for Applied Probability (CAP)  C. Heyde; Columbia University
An umbrella organization under which diverse research and educational activities in probability and its applications are focused and supported, especially at Columbia University, but with a view to local, national, and international visibility. In addition
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 Center for Applied Probability  Georgia Tech
Formed in the Spring of 1995, run by a group of faculty members in the School of Mathematics and the School of Industrial and Systems Engineering (ISyE) at Georgia Tech. Members, events, mailing list, links to other sites.
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 Center for Applied Special Technology (CAST)
An educational, notforprofit organization that uses technology to expand opportunities for all people, including those with disabilities. CAST conducts applied research in universal design; develops and releases products that expand opportunities for
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 Center for Cognitive Technology  Richard E. Clark, Director
Conducting and analyzing interdisciplinary research on the role of new technology in the development of advanced expertise and performance motivation. See, in particular, the publications "Teaching general problemsolving skills is not a substitute for,
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 Center for Complex Systems Research  University of Illinois at UrbanaChampaign
A research group studying the phenomena of systems with a large flow, such as turbulence and information flow on the Internet. Includes an outline of current research projects and outreach programs (can researchers "resonate" with atrisk kids?).
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 Center for Computational Mathematics and Applications (CCMA)  Mathematics Dept., Penn State University
A focal point for research and educational activities in numerical analysis and applied mathematics at Penn State. Applied and Computational Math Seminar Series; PDEs and Numerical Methods Seminar Series; faculty, grad students; visitors and postdocs;
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 Center for Computational Mathematics (CCM)  Dept. of Mathematics, Univ. of Colorado at Denver
A broadbased response to rapid and dramatic changes in the various fields of computation, the Center is intended to be a highly interdisciplinary organization with associates in other departments at CUDenver, on other campuses of the Rocky Mountain
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 Center for Dynamical Systems and Nonlinear Studies  School of Mathematics, Georgia Tech
Established in September 1988 to strengthen existing research activities in the School of Mathematics with special focus on dynamical systems, differential equations, nonlinear analysis, and applications. Specific topics emphasized are stability, nonlinear
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 Center for Earth and Planetary Studies (CEPS)  National Air and Space Museum, Smithsonian Institution
CEPS performs original scientific research and outreach activities on topics covering planetary science, terrestrial geophysics, and the remote sensing of environmental change. The Center has curatorial responsibility for two galleries in the National
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 Center for Education and Equity in Mathematics, Science, & Technology (CEEMaST)  California State Polytechnic University at Pomona
A collaborative effort of the College of Science and the School of Education. Searchable site provides information on new projects, workshops and conferences, personnel, email contacts, grant projects, places to go, software archives, AMTE, the California
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 Center for Excellence and Equity in Education  Rice University
CEEE seeks to promote greater participation of underrepresented groups in the sciences, and to encourage academic excellence for all. It hosts national conferences, publishes K12 curriculum items and diversity materials, and runs a number of projects
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 The Center for Game Science
Makers of free online fraction games such as Treefrog Treasure, Refraction, and Creature Capture. The Center for Game Science also offers its research publications on science, technology, engineering, and math (STEM) games for scientific discovery; for
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 Center for Geometry Analysis Numerics and Graphics (GANG)  Dept. of Mathematics & Statistics, Univ. of Massachusetts, Amherst
An interdisciplinary Differential Geometry research team. The GANG Geometry Archive is an online library of papers, preprints, images, animations and software connected with their research. The Library includes: Knot (energyminimizing knots and links);
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 Center for Image Processing Research  Rensselaer Polytechnic Institute (RPI)
Faculty, publications, research. See also the Center for Digital Video and Media Research(CDVMR), an NSF Industry/University Cooperative Research Center.
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 Center for Improved Engineering and Science Education (CIESE)  Stevens Institute for Technology
CIESE's mission is to catalyze and support excellence in teaching and learning of science, technology, engineering, mathematics (STEM) and other core subjects through innovative, researchbased instructional strategies and use of novel technologies. CIESE
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 The Center for Innovation in Education
Cofounded in 1975 by two classroom teachers, Mary and Bob BarattaLorton, the Center for Innovation in Education provides mathematics inservice and training. Workshops offered include Math a Way of Thinking and Math Their Way, a summary newsletter and
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 Center for Innovative Learning Technologies (CILT)
Joining forces and leveraging resources to improve K14 education. Four theme areas have been defined as initial opportunities, with a "theme team" for each. Teams meet annually with the best minds in their fields from Industry, Research, and Schools
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 Center for Inquiry Based Learning  University of Michigan
Promoting "the teaching and development of inquirybased learning in mathematics." See, in particular, the Center's descriptions of undergraduate math and math education courses.
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 Center for International Earth Science Information Network (CIESIN)  Columbia University
A nonprofit, nongovernmental organization providing information to help scientists, decisionmakers, and the public better understand their changing world. CIESIN specializes in global and regional network development, science data management, decision
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 Center for Mathematical Studies in Economics and Management Science (CMSEMS)  Northwestern University
A research center affiliated with the Kellogg Graduate School of Management and the Weinberg College of Arts and Sciences, bringing together economists, managerial economists, mathematicians, and social scientists at Northwestern University who use
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