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

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, rightly viewed, possesses not only truth, but supreme beauty — a beauty cold and austere, without the gorgeous trappings of painting or music." —Bertrand Russell

"That's Mathematics" by Tom Lehrer the American singer-songwriter, satirist, pianist - and mathematician

The Open Education Directory menu for Mathematics is in the top left margin.

Mathematics - Open Textbooks Links to open access (free) textbooks.

Mathematics - Best Resource Sites iBerry's choice - other recommendations welcome!

American Mathematical Society (AMS) (US) - furthers mathematical research and scholarship through programs and services that promote mathematical research and its uses

The following links have been chosen by iBerry as good examples of OCW for this topic. Only significant content such as notes, images, videos etc covering topics in reasonable depth are included. Items consisting only of course advertisements, sub-topic headings, single lectures or where a significant proportion of material is password protected are not included. Comments are welcome!

comprehensive treatment of the advanced methods of applied mathematics: series solutions of linear homogeneous ODE, WKB method, asymptotic expansion of integrals, boundary layer theory, small non-linear oscillations

techniques needed in designing and analyzing efficient algorithms and data structures for computational problems in discrete geometry, such as convex hulls, geometric intersections, geometric structures such as Voronoi diagrams and Delaunay triangulations, arrangements of lines and hyperplanes, and range searching

brings computational exploration to the widest possible audience, open-code resource that uses dynamic computation to illuminate concepts, free player runs all demos: Browse Latest, Random Selection, FAQs, Authoring area

explores two revolutions in perception of the universe, Galileo (realization that what we see in the heavens—the moon, the planets, the sun and stars—are physical objects), Einstein (space and time are not as straightforward as they first appear, but related to each other in a simple but unexpected way)

aims to explain interesting mathematics to a broad audience, to introduce exciting new research directions for geometry, and to fix some of the logical weaknesses of modern pure mathematics; Rational Trigonometry (much simpler, more powerful), Linear Algebra, Algebraic Topology, History of Mathematics, Universal Hyperbolic Geometry, Foundations of Mathematics

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