Graph theory is widely used in computer science, engineering and of course, mathematics. Wikipedia offers this definition and overview of Graph Theory. This next website from Mega-Math reviews some of the Vocabulary of Graphs and highlights some applications for graph theory, such as the design of computer systems and games. Some additional applications for Graph Theory are discussed in this more technical book called Graph Theory with Applications. This website from Georgia Tech discusses a proof that allows a user to create a map of the U.S. using just four colors. For a more involved explanation of Graph Theory, see this Graph Theory book by Reinhard Diestel. On this next website, Christopher P. Mawata of the University of Tennessee at Chattanooga offers a collection of Graph Theory Lessons for educators. The final website provides a short biography of a key figure in Graph Theory who recently passed away, Frank Harary.

JJybe is an extension for Firefox that allows you to link your browser together to one or more friends' browsers and allows you to chat and browse the web together. How off your favorite websites or give your customer a live tour of your product catalog. Jybe is a free plug-in to Internet Explorer and Firefox that enables you to surf the web with your peers in real-time.

A free, "teach yourself" tutorial that lets you practise your Internet Information Skills.

This Linear Algebra Toolkit is comprised of the modules such as Determinants, Vector Spaces, Linear Transformations, and Systems of linear equations and matrices. Each module is designed to help a linear algebra student learn and practice a basic linear algebra procedure, such as Gauss-Jordan reduction, calculating the determinant, or checking for linear independence.

A systems approach to learning design engineering and project management.

The Web site catalogued freely available software for language tools, which includes compilers, compiler generators, interpreters, translators, important libraries, assemblers, etc. -- things whose user interface is a language. Natural language processing tools may also be included.

This list is primarily aimed at developers rather than researchers, and consists mainly of citations for production quality systems.

Find high quality manufacturing information on the Web with well organised catalog and index.

This website features Systems Research at Harvard University. Projects described on this website focus on distributed computing, sensor networks, file systems, and systems integration. Researchers from the System Group also develop educational resources, including a platform for teaching an Introduction to Computer Sciences course and an instructional operating system. The researchers provide overviews of their projects and related publications are available to download. Past projects include a project that explored methodologies for application-specific benchmarking and a project that proposed a framework for developing Web applications with client-side storage.

The Contextual Computing Group is a research organization at Georgia Tech College of Computing that focuses on the field of contextually aware, wearable computing systems. The group is interested in "how the continued emergence of on-body computational resources will impact society." Topics addressed in its work include Wearable Computing, Augmented Reality, Lifelong Everyday Interfaces, Natural Gestural Interfaces, First-Person Perceptive Agents, Contextual Computing Devices, Human Computer Interaction, Computer Vision, Memory Prostheses, Embedded Computers, and Sensor Fusion. Projects related to Wearable Computing have yielded hardware products that are available to purchase. Resources that the group has found useful are available to download free of charge.

The University of Washington's Database Research Group “is focused on broadening the scope of database and data management techniques beyond their traditional scope.” Its work focuses on databases and the Web, XML, data management for ubiquitous computing, data integration, and data mining. For example, the Mangrove project seeks to facilitate the move to the semantic Web by creating “an environment in which users are motivated to create semantic content because of the existence of useful semantic services.” The various projects are described on this website along with related publications, which are available to download.

Zentralblatt MATH is an extensive database containing abstracts of reviewed articles in pure and applied mathematics. The database contains over two million entries drawn from more than 2,300 serials and journals. The publication dates for the articles begin in 1868 and continue into the present. The search function is flexible, allowing visitors to search the database by numerous criteria such as author, title, keyword, source, or classification code. The abstract entry includes links to abstracts of articles on related topics. Only abstracts and issue table of contents are available free of charge, and access to the full articles is only available by paid subscription.

The wonderful Eye of Science project began in 1994, and is currently under the direction of Oliver Meckes and Nicole Ottawa. As their philosophic statement on this website states, "Our aim is to combine scientific exactness with aesthetic appearances, and thereby help to bridge the gap between the world of science and the world of art." In order to help serve this mission, they have placed numerous examples of their work online in a series of galleries on this site. Using electron microscopy and a host of other equipment and techniques, the pair has created these fine images of such things as parasites, cross-sections of a lavender leaf, and a rather harrowing photograph of an itch mite. Along with viewing these images, visitors can also learn about the awards they have received and learn about the equipment they use in their work.

The University of California at Los Angeles' Image Processing Research Group (or IMAGERS) focuses on mathematical modeling and computational techniques for image processing, with a particular emphasis on using Partial Differential Equations. The group is part of the UCLA Mathematics Department and the Institute of Pure and Applied Mathematics, but also collaborates with other departments on campus. The research areas described on their website include: Image Reconstruction, Inpainting, Computation, Segmentation & Active Contours, Level Set, Wavelets and Compression, Tomography, and Vision Modeling. They provide overviews of each research area along with links to full reports offering more in depth explanations. Recent papers by IMAGERS' researchers are posted online and available to download free of charge.

The Free Software Foundation (FSF) was established in 1985 to promote "computer users' rights to use, study, copy, modify, and redistribute computer programs." That is, the organization promotes the development and use of free software, particularly for the GNU operating system (GNU/Linux). FSF is the primary sponsor of the GNU Project, which was established to create new distribution terms that would prevent the project from being turned into proprietary software. The website provides information on current FSF projects, such as providing development systems support for GNU software maintainers and raising awareness about the Free Software license and how to use it. They also maintain the Free Software Directory, which catalogs "all useful free software that runs under free operating systems" and currently contains over 3,000 entries. The Directory can be accessed from this website and searched by keyword or browsed by application area, such as Business and Productivity, Database, Education, Email, Games, Mathematics, Network Applications, Printing, Science, Security, Software development, and Web Authoring. The website also provides information on how to add packages to the Directory and how to donate to the Foundation.

The Computation Structures Group is part of the Computer Science and Artificial Intelligence Laboratory at the Massachusetts Institute of Technology (MIT). Their mission is "to enable the creation and development of high-performance, reliable and secure computing systems that are easy to interact with." Their current research focuses on hardware synthesis, computer security, computer architecture and VLSI design. This well organized website provides short descriptions of the projects within each of these areas. Publications by researchers affiliated with the Computation Structures Group are also available.

This resource for educators and students of game theory aims to make lessons on game theory more relevant to the student. This section of the website provides links to lecture notes for courses in game theory and applied game theory offered by faculty at various universities. The collection is arranged in a table format and provides basic information on each entry as an overview, such as level of instruction, professor, course, institution, and special topics covered. Some of the special topics include finance, voting, and social learning.

High-Speed Visual Imaging (HiViz) provides "information and inspiration especially for students, teachers and hobbyists." Their goal is to dispel common misconceptions about high-speed photography, in particular that it is only for experts and requires specialized and expensive equipment. They provide tools for setting up and using a high-speed imaging system, numerous activities for teachers and an FAQ section that addresses questions about cameras, flash units, and timing systems. The Galleries section, which include portfolios of exemplary student work, and the Projects section provide a glimpse into what is possible using in high-speed visual imaging. They have also sell kits for students, teachers and hobbyists interested in starting their own project and provide links to relate websites for more information on related resources.

Squeak is a programming system that is offered under an open source license, which makes it free to download. The website describes Squeak as "an open, highly-portable Smalltalk-80 implementation whose virtual machine is written entirely in Smalltalk, making it easy to debug, analyze, and change." The programming system can be used to create images, graphics, sound, games and websites. For example, the drawing function includes the ability to scale and rotate bitmap images at any color depth, anti-aliased TrueType fonts and vector graphics. The Documentation section includes several tutorials, bulletin board forums, and other online resources such as articles and books. In addition, a related SqueakLand.org website provides newly redesigned educational projects for students, parents, and teachers.

NanotechWeb.org was created to "provide a virtual meeting point for anyone involved in the field" of nanotechnology (See also NSDL Scout Report for Math, Engineering, and Technology, June 6, 2003). This article discusses friction at the nano-scale. The author, Jacqueline Krim of North Carolina State University, explains how "nanomachines will depend on our knowledge of friction, heat transfer and energy dissipation at the atomic level for their very survival." The author provides an overview of friction and discusses the history of research on friction. She concludes with an appeal for more research and curricular emphasis on the study of friction at the nano-scale. References are linked to online resources for further reading on the subject.

The School of Mathematics and Statistics at the University of St Andrews, Scotland has developed an extensive collection of articles on the history of mathematics (See also NSDL Scout Report for Math, Engineering, and Technology, June 4, 2004). This article, written by J J O'Connor and E F Robertson, reviews the history of Prime Numbers. The article includes hyperlinks to topics addressed further in other sections of the website. For example, from this website visitors can also find articles on Pythagoras and Euclid.