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Sparta, The training of Youth. Think Complexity. Math and Physics: The Math and Physics Help Home Page. Copyright© 1996-2013 by Gary and Kenny Felder This is a collection of papers that we have written to explain various concepts in math and physics. But first, the obligatory list of links... Math What you will find below are essays explaining various topics, more or less arranged from the most basic to the most advanced. In addition to these essays, Kenny has also written a complete textbook for Advanced Algebra II. You can download the entire thing, or individual pieces and topics, for free, from the wonderful folks at Connexions at Rice University: go to Gary and Kenny are also working on a college-level textbook called Math Methods for Engineering and Physics. Math and the Obvious (Kenny) For consistency, I probably should have called this "Think Like a Mathematician. " Negative Times Negative is What?

Mike, a ninth grader in Westbrook, Maine, emailed me the question: "Why is it when you multiply two negative numbers you get a positive number? " 8 math talks to blow your mind. Mathematics gets down to work in these talks, breathing life and logic into everyday problems. Prepare for math puzzlers both solved and unsolvable, and even some still waiting for solutions. Ron Eglash: The fractals at the heart of African designs When Ron Eglash first saw an aerial photo of an African village, he couldn’t rest until he knew — were the fractals in the layout of the village a coincidence, or were the forces of mathematics and culture colliding in unexpected ways?

Here, he tells of his travels around the continent in search of an answer. How big is infinity? There are more whole numbers than there are even numbers … right? Actually, there aren’t. Arthur Benjamin does “Mathemagic” A whole team of calculators is no match for Arthur Benjamin, as he does astounding mental math in the blink of an eye. Scott Rickard: The beautiful math behind the ugliest music What makes a piece of music beautiful? 8 math talks to blow your mind. Wind Map. An invisible, ancient source of energy surrounds us—energy that powered the first explorations of the world, and that may be a key to the future. This map shows you the delicate tracery of wind flowing over the US. The wind map is a personal art project, not associated with any company.

We've done our best to make this as accurate as possible, but can't make any guarantees about the correctness of the data or our software. Please do not use the map or its data to fly a plane, sail a boat, or fight wildfires :-) If the map is missing or seems slow, we recommend the latest Chrome browser. Surface wind data comes from the National Digital Forecast Database. If you're looking for a weather map, or just want more detail on the weather today, see these more traditional maps of temperature and wind. How NASA might build its very first warp drive. I want to see this work as much as anyone else on io9, but every time I read an article on warp drive, I expend so much mental energy trying to wrap my head around the concept that my entire left hand side goes numb.

Somewhere along the line my understanding of concepts such as the nature of Spacetime is deficient. Here's the problem. When I think about the idea of expanding the conceptual framework that describes the continuum between two abstract concepts, behind a spaceship, whilst contracting the conceptual framework that describes the continuum between two abstract concepts, in front of a spaceship; all I can think of is that this like saying that when in conversation with another person, I can reach out with my hand, grasp hold of the words that are coming out of that other persons mouth and fold them in half.

If someone could point me towards some legible books that I could buy that would help me understand where my understanding has gone wrong, I would be grateful. Thanks. The warp drive: hyper-fast travel within general relativity - Abstract - Classical and Quantum Gravity.