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Mathematics


Mathematics - Open Courseware (OCW)

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Galileo and Einstein

Virginia University (US)

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)


Insights into Mathematics (videos)

New South Walles University (AU)

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
 



 

- - - LOBACHEVSKY - - -

YouTube

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

MIT (US), OpenCourseWare

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


The Integrator

Wolfram Research (US)

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


Street-Fighting Mathematics

MIT (US), OpenCourseware

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


--- Sinusoidal Curve - A Mathematical Love Poem ---

Lusher School students





 

What's New in Econometrics?

National Bureau of Economic Research (NBER) (US)

Estimation of Average Treatment Effects Under Unconfoundedness, Linear Panel Data Models, Regression, Discontinuity Designs, Nonlinear Panel Data Models, Instrumental Variables with Treatment Effect, Heterogeneity, Control Function and Related Methods, Bayesian Inference Cluster and Stratified Sampling, Partial Identification, Difference-in-Differences Estimation, Discrete Choice Models, Missing Data, Weak Instruments and Many Instruments, Quantile Methods, Generalized Method of Moments and Empirical Likelihood


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