Calculus is the mathematics of change, and answers questions such as: How fast is a function growing? This lecture introduces the concepts of limits and derivatives, which allow the slope of a curve to be measured at any point.

Ready to exercise those brain cells? Professor Arthur T. Benjamin is renowned for his feats of mental calculation performed before audiences at schools, theaters, museums, conferences, and in this series, he shows that there are simple tricks that allow anyone to look like a math magician. Throughout these lectures, he shows how everything in mathematics is connected--how the beautiful and often imposing edifice that has given us algebra, geometry,...

From the simple elegance of the Pythagorean theorem to the looking-glass world of Russell's Paradox and the summed infinities of integral calculus, experience the beauty and majesty of the mathematical universe. William Dunham, author of the popular Journey Through Genius, will give you a rare sampling of its joys. Writing in his trademark razor-sharp style, Dunham introduces a tantalizing selection of the great proofs, notorious disputes, and intriguing...

Provides a practical reference to all aspects of mathematics, using clear explanations of such key mathematical concepts as analysis, logic, metamathematics, and mathematical physics.