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http://terrytao.wordpress.com/  


Terence Tao, UCLA  
Updates on Tao's research and expository papers, discussion of open problems, and other mathsrelated topics. Blog posts, which date to February, 2007, have included "Riemannian manifolds and curvature" and "Sailing into the wind, or faster than the wind" and "The crossing number inequality" and "Amplification, arbitrage, and the tensor power trick" and "Uchiyama's constructive proof of the FeffermanStein decomposition." See, in particular, his collection of experimental mathematical games, simulations, and other apps, which include a solver for Lewis Carroll logic puzzles, the GramSchmidt orthogonalisation process, Mobius transforms, Taylor and Laurent series, the fundamental theorem of calculus, the residue theorem, Besicovitch sets, conformal compactification, honeycombs, an exponent calculator, and multiple choice Java quizzes on logic, set theory, functions, linear algebra, real analysis, and Fourier analysis. Tao, the 2006 Fields Medalist, has also provided career advice and engaged the public around clear expository writing.  


Levels:  College, Research 
Languages:  English 
Resource Types:  Simulations, Problems/Puzzles, WebBased Discussions, Web Interactive/Java 
Math Topics:  Linear Algebra, Abstract Harmonic Analysis, Fourier Analysis/Wavelets, Functional Analysis, Real Analysis, Partial Differential Equations, Combinatorics, Logic/Foundations, Analytic Number Theory 
Math Ed Topics:  Writing/Communication in Math, Degrees/Higher Ed 
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