# This Professor Can Teach Anyone Calculus Using These Simple, Beautiful Animations

Calculus: A word that triggers involuntary fear spasms in the best of us. But the days of slogging through tedious textbook derivatives are over, if you want them to be. For the past few years, people across the world have studied calculus for free online, by exploring a set of gorgeous, dynamic animations.

# Physicists Discover "Hidden Chaos" Lurking Everywhere

It appears that the standard tools used to identify chaotic signatures might be missing lots of hidden chaos — especially in systems that seem like they’re not chaotic at all.

# Is Having A Baby More Depressing Than A Death In the Family?

A study of new parents out of Germany makes the claim that having a baby is more hazardous to mental well-being than divorce or the death of a partner.

# Can You Solve Isaac Newton's Tree Puzzle?

This week’s puzzle is not about gravity, though you’d be excused for suspecting as much. After all, when most people read “Isaac Newton” and “tree” in the same sentence, they think also of falling apples. But this week’s puzzle, which is widely attributed to Newton, is actually an exercise in orderly arboriculture.

# Digital Music Couldn't Exist Without the Fourier Transform

This is the Fourier Transform. You can thank it for providing the music you stream every day, squeezing down the images you see on the Internet into tiny little JPG files, and even powering your noise-canceling headphones. Here’s how it works.

# Is A Kilobit 1,000 Or 1,024 Bits?: A Mathematical Debate Explained

What is a kilobit equal to? The answer is 1,000 bits, but some people say it should really be 1,024.

# Hunting for Random: The Quest to Find Numbers That Keep Your Data Safe

You indirectly use random numbers online every day—to establish secure connections, to encrypt data, perhaps even to satisfy your gambling problem. But their ubiquity belies the fact that they're actually incredibly difficult to find. This is the story of where they come from.

# Can You Solve One Of Archimedes' Most Challenging Puzzles?

Archimedes was the greatest mathematician of antiquity. He was also a lover of puzzles, which he would devise and pose to his contemporaries. This week, we present you with two versions of what is arguably Archimedes' most challenging puzzle ever.

# You'll Have To Think Like A Pirate To Solve This Week's Puzzle

Pirates, of course, are notoriously greedy – but they're also incredibly shrewd. And don't forget, they'll kill you, if given the chance.

# Can You Solve This Puzzle Blindfolded?

This puzzle would be a lot easier without the blindfold. Are you up for the challenge?

# Can You Solve The World's (Other) Hardest Logic Puzzle?

Last week, we asked you to solve 'The Hardest Logic Puzzle In The World." This week, we're asking you to do it again – with a brand new puzzle.

# Proof That Some Infinities Are Bigger Than Others

The always-excellent Vi Hart (previously) gives one of the most engaging explanations of multiple infinities we've come across in some time.

# The 10 Weirdest Calculations You Can Make Online Right Now

Chances are, you've used one of the many useful calculating tools available online: How much would a monthly mortgage cost me with today's interest rates? What time is it on another continent? But there are far more exotic and weird calculators on the Internet. Here are ten of the most unusual.

# How to Predict the Odds of Anything

Statistics are used by scientists, medics and corporate types every day to predict what the future holds—but that doesn't always mean they do it right. In this video, Sci Show explains some of the quirks of statistics, and how you can use them to work out the odds of pretty much anything.

# A mysterious law that predicts the size of the world's biggest cities

For the past century, an obscure mathematical principle called Zipf's law has predicted the size of mega-cities all over the world. And nobody knows why.