This book offers an introduction to mathematical proofs and to the fundamentals of modern mathematics. No real prerequisites are needed other than a suitable level of mathematical maturity. The text ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Many higher-level Leaving Cert maths students were left deflated by paper one, but it had many manageable elements and was less wordy than in previous years, teachers have said. Eoghan O’Leary, a ...

The original version of this story appeared in Quanta Magazine. Calculus is a powerful mathematical tool. But for hundreds of years after its invention in the 17th century, it stood on a shaky ...

IN the evolution of the teaching of mathematics, many thoughtful teachers frequently examine critically the basic concepts of the subject in order to make quite sure that the edifice they are ...

Abstract: Formal software verification typically involves some levels of static theorem proving which is a mathematical process of proving that the function computed by a program match the function ...

This is a preview. Log in through your library . Abstract Global properties of canonical derivability predicates (the standard example is Pr() in Peano Arithmetic) are studied here by means of a ...

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In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.