In the Idea of Limits video, we introduce the idea of limits and discuss how it underpins all of the major concepts in calculus. In the Limit Laws video, we introduce the limit laws and discuss how to ...

Get an easy, step-by-step explanation of the Gauss Divergence Theorem designed to make this important vector calculus concept clear and approachable. This video breaks down the intuition, geometry, ...

Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...

Wolfram|Alpha: The makers of Mathematica (a very powerful mathematical software package, popular amongst applied mathematicians and engineers) bring us a "google-like" mathematical search engine. In ...

THE history of mathematics has an image problem. It is often presented as a meeting of minds among ancient Greeks who became masters of logic. Pythagoras, Euclid and their pals honed the tools for ...

Covers multivariable calculus, vector analysis, and theorems of Gauss, Green, and Stokes. Prereq., APPM 1360 or MATH 2300 (min. grade C-). Credit not granted for this course and MATH 2400. Usually ...

You don’t need a human brain to do maths — even artificial intelligence can write airtight proofs of mathematical theorems. An AI created by a team at Google has proven more than 1200 mathematical ...

From the Archive Timeless stories from our 175-year archive handpicked to speak to the news of the day.

Automated theorem proving (ATP) encompasses a range of computational techniques for establishing the validity of logical statements within formal systems. These systems employ proof calculi—such as ...