Maths (general)

Open Courseware and Resources (general)

- Mathematics: body of knowledge centered on such concepts as quantity, structure, space and change and also the academic discipline that studies them (Wikipedia).

About Mathematics

Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. Applied mathematics, the branch of mathematics concerned with application of mathematical knowledge to other fields, inspires and makes use of new mathematical discoveries and sometimes leads to the development of entirely new mathematical disciplines, such as statistics and game theory. Mathematicians also engage in pure mathematics, or mathematics for its own sake, without having any application in mind. There is no clear line separating pure and applied mathematics and practical applications for what began as pure mathematics are often discovered. (Wikipedia)


Some mathematical terms - click on any one above to Google.
  • Why Do Math - showcases exciting mathematical and computational science topics

Mathematics - Learner Support

  • OCW2 Maths - supporting online learners in finding and using Open Educational Resources.
  • Abstract and Linear Algebra [forum] - worldwide classroom with the internet as blackboard and students as teachers
  • West Texas A&M University (US), Virtual Math Lab - help in College Algebra, Intermediate Algebra, Beginning Algebra, Math for the Sciences, online tutorials, exercises, created as a service to anyone who needs help in these areas
  • Physics Forums - Math & Science Learning Materials
  • WolframAlpha Blog - interactive guide step by step through process of solving mathematical problems, quadratic equation, integration, click the “Show steps” button

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Mathematics - Resource Page

Prime Sites

  • AcademicInfo (US): Subject Guides - Mathematics: round up of best and most useful links and resources, listing both printed reference works and electronic resources, taking into account accessibility, authoritative sources, ease of use and aim to present a fair and well rounded perspective of the respective subject matter
  • American Mathematical Society (AMS) (US) - furthers mathematical research and scholarship through programs and services that promote mathematical research and its uses, strengthens mathematical education, fosters awareness and appreciation of mathematics and its connections to other disciplines and to everyday life: Membership, Career Services, Meetings, The Profession, Authors, Government, Public Awareness, Customer Services
  • MERLOT Mathematics Portal - goal to improve effectiveness of teaching and learning by increasing the quantity and quality of peer reviewed online learning materials easily incorporated into faculty designed courses: teaching, learning materials (Subject Categories, Browse, Pedagogic Collection, Peer Review Process), beyond MERLOT, showcase
  • Wisconsin University (US), Catalog of Mathematics Resources on the WWW and the Internet - general (US, other), Pure Maths, History & Biographies, Applied, Computational, Mathematical Physics, Teaching, Education, student Servers, Statistics, Probability, References, Utilities, FAQ's, Discussion Groups, Newsletters and Announcements, Newsgroups, Software, Program, Graphers and Calculators, Publications, Journals and Preprints,Art, Graphics, VRML and Cryptography, College and Pre-College, Directories of Resources

Other Sites . . . . . .

Maths - Open Textbooks

Logic II

theory of computability, Gödel's theorem, applications, Church's theorem, Tarski's theorem, Gödel's second incompleteness theorem

Game Theory with Engineering Applications

fundamentals of game theory and mechanism design, Motivations drawn from engineered/networked systems, emphasizes theoretical foundations, mathematical tools, modeling, and equilibrium notions in different environments

Insights into Mathematics (courses)

WildTrig - simplified introduction to Geometry via Rational Trigonometry & applications
WildLinAlg - Linear Algebra for first year college
UnivHypGeom - reformulates hyperbolic geometry to make it simpler, logical, general, beautiful!
MathHistory - History of Mathematics
Algebraic Topology - beginner's course suitable for advanced undergraduates
MathFoundations - sets up mathematics on a rigorous foundation, exposes some of the serious flaws that beset the subject currently
 

Statistical Aspects of Data Mining

exploring and visualizing data, association analysis, classification, and clustering
 

The Integrator

pass integrals to 'Mathematica' for instant evaluation: history of integration, inside the integrator, FAQ

Street-Fighting Mathematics

art of guessing results and solving problems without doing a proof or exact calculation, techniques (extreme-cases reasoning, dimensional analysis, successive approximation, discretization, generalization, pictorial analysis), applications (mental calculation, solid geometry, musical intervals, logarithms, integration, infinite series, solitaire, differential equations): readings, related resources

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