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

  About Mathematics  
Brief introductions

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.

 

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


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

See Also:

iBerry's (unsorted) links on delicious
Links to Listings of Open Textbooks (all subject areas)


  Mathematics - Support for Learners  
Sites that actively support learners - eg learner communities, forums, expert help etc

See Also:

Massive Open Online Courses (MOOCs)


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

See Also:

More Mathematics Resource Sites 


  Mathematics - Unsorted Links    
Miscellaneous unsorted links
 

iBerry's (unsorted) links for this topic on delicious

Open Courseware

  Mathematics - Open Courseware (OCW) 

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!

Insights into Mathematics (videos)

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
 

Software & Web Projects

Java simulations: nonEuclid (Interactive Java software for creating ruler & compass constructions), paper-folding-fractals (Java software & HTML documentation), DFIELD & PPLANE (interactive tools for differential equations), CrystalLab (exploring interaction of light, crystals, & water droplets)

Lecture Notes of William Chen

Elementary Mathematics, First Year Calculus, Discrete Mathematics, Linear Algebra, Miscellaneous Topics in First Year Mathematics, Multivariable and Vector Analysis, Introduction to Complex Analysis, Fundamentals of Analysis, Linear Functional Analysis, Introduction to Lebesgue Integration, Elementary Number Theory, Distribution of Prime Numbers, Lectures on Irregularities of Point Distribution

Galileo and Einstein

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)

- - - - - - - - - - - - - LOBACHEVSKY - Tom Lehrer - - - - - - - - - - - - -

A Tom Lehrer classic but as the uploader of this video comments - "btw don't take it seriously! Lobachevsky was a great mathematician ..."
 

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

The Integrator

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

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