# tanwuikuan

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### The sine and cosine functions for the circle, as every student should see them

(<b>Edit</b>: the animation is also available, without watermark, at higher resolution and slower frame rate at Wikimedia Commons.)<p><b>HAPPY PI DAY!</b> To celebrate, here’s this long-due animation of the usual trigonometric functions, sine and cosine, geometrically defined in terms of the unit circle.<p>I know this animation is a bit of the same as several others of my previous animations , but this is THE version that I should have done ages ago, if not done first of all.<p>This is what the sine and cosine …

### SIAM News: Latest Archived Issue: Volume 45, Number 10, December 2012

• And the Ig Nobel Goes to . . . Joseph B. Keller<br>• Career Advancement for Women Is Focus of COACh Workshops<br>• Collaboration Blooms from SIAM News …

### fouriestseries:

A Fourier series is a way to expand a periodic function in terms of sines and cosines. The Fourier series is named after Joseph Fourier, who introduced the series as he solved for a mathematical way to describe how heat transfers in a metal plate.<p>The GIFs above show the 8-term Fourier series approximations of the square wave and the sawtooth wave.

### The Role of Socratic Questioning in Thinking, Teac

One of the reasons that instructors tend to overemphasize “coverage” over “engaged thinking” is that they do not fully appreciate the role of …

### The Simpsons and Their Mathematical Secrets by Simon Singh – review

<i>The Simpsons</i>, Simon Singh says, is "arguably the most successful television show in history". It may also be the most allusive: it sometimes seems as if every aspect of the show is a knowing reference to something else. And sometimes it seems as if everything else is an unknowing reference to <i>The</i> …

### Flipping pancakes with mathematics

Mathematical minds love a problem that's easy to pose but tough to solve<p>Tomorrow marks the 80th birthday of Jacob E Goodman, a mathematician at the City College of New York. If Professor Goodman's name does not ring any bells, then maybe you know him better by his pseudonym, Harry Dweighter. No? …

### Can Mathematics Find Missing Malaysia Jetliner?

Investigators will be using every tool available to hunt for the missing Malaysian Air flight. Probabilistic analysis played a big hand in finding the missing Air France flight several years ago.<p>Transcript<p>LINDA WERTHEIMER, HOST:<p>The search for survivors on the missing Malaysian Airlines flight took …

### Can A 250-Year-Old Mathematical Theorem Find A Missing Plane?

Searchers are feeling overwhelmed by the task of locating the wreckage of missing Malaysian Airlines Flight 370.<p>"We're not searching for a needle in a haystack — we're still trying to define where the haystack is," Australian Air Marshal Mark Binskin said Tuesday. The current search zone stretches …

### How the ancient Greeks shaped modern mathematics – video animation

In this Royal Institution animation about a group of revolutionary thinkers who changed the way we see mathematics, we see that maths isn't just about performing calculations, but a way of understanding and testing the reality of the world around us. Ancient thinking is still helping engineers, …

### The Dot and the Line: A Quirky Vintage Love Story in Lower Mathematics by Norton Juster, Animated by Chuck Jones

In 1963, two years after he penned his timeless classic <i>The Phantom Tollbooth</i>, <b>Norton Juster</b> wrote and illustrated <b>The Dot and the Line: A Romance in Lower Mathematics</b> (<i>public library</i>) — the quirky and infinitely wonderful love story that unfolds in a one-dimensional universe called Lineland where …