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Tuesday 25 October 2011

Maths on the Web 1

We have just added a "Fun Links" box on the right. The first set of links come from Nishant Suri. He explains his selections:

"Timothy Gowers is a British mathematician who is most well known for work in analysis and combinatorics. He was awarded the Fields Medal in 1998. Another feather in his cap is editorship of the excellent Princeton Companion to Mathematics. Apart from his research, Gowers is known for his very popular blog, which is among the most well written math blogs I've come across. His articles are often insightful, and almost always exemplary in their style of exposition. The fact that he is also a prolific writer is an added bonus, and means that one is delighted with new articles more often than on most other blogs. His recent series of articles on basic logic might be of particular interest to the B.S. students here.

While on the subject, let me also recommend this wonderful set of multiple choice quizzes on topics ranging from basic logic and functions to symmetries of the Fourier transform. Again, the B.S. students might benefit from some of these quizzes, especially the one on logic and the one one functions. Most of these quizes have been designed by Terrence Tao, who is an Australian mathematician known for his prodigious talent and remarkable breadth of mathematical work, which includes topics in harmonic analysis, partial differential equations, combinatorics, analytic number theory and representation theory. He was awarded the Fields Medal in 2006. He is also an avid blogger, and his blog articles include technical notes on various topics in analysis.

Mathematics now is more of a collaborative discipline than it perhaps ever was. The internet has revolutionized how people interact with each other, and it has brought the marketplace of ideas into almost every living room. When it comes to mathematics research, MathOverflow is a great place to ask for (and offer) technical help. (Everybody needs help sometimes, right?) It is not a discussion forum, nor is it a resource for home work problems. It is, instead, a place where people can ask specific and well formed questions regarding their mathematics research, and get specific and usually very reliable answers. It is one of the most effectively moderated Q & A fora around.

If you're looking for help with more mundane university mathematics, including help with homework problems, fret not! Math Stack Exchange is your best bet in such situations.

+Plus Magazine is an online magazine published by the Millennium Mathematics Project at the University of Cambridge. It is fun to read and includes feature articles which describe applications of mathematics to real world problems, a news section and mathematical puzzles and games.

Wolfram Alpha is a novel approach to handling natural language queries by sifting through heaps of data and coming up with answers, instead of results. It is thus an "answer engine" rather than the now ubiquitous "search engine". With Mathematica running in the background, it is well suited to answer high-school level mathematical questions. For example, "lim(x->0) x/sin x" yields the expected result, 1, as well as a possible derivation using L'Hospital's rule, a plot, and the series expansion. If you've never played around with it, I suggest you do! "

Monday 24 October 2011

Precalculus Notes - Logic 2

Logic 2

Tuesday 11 October 2011

Precalculus Notes - Logic I

Logic 1

Saturday 1 October 2011

Precalculus Notes 3 - Images & Preimages of Sets

Use the buttons at the base to scroll through the document.

Functions 3