THIS “Introduction to Vector-methods and their Various Applications to Physics and Mathematics” is an exposition of the late Willard Gibbs' vector analysis. The author in his preface warns us that “no ...

Explore our campus, meet lecturers and current students, and learn more about what it's like to study at Manchester. Explore our campus, meet lecturers and current students, and learn more about what ...

Math, specifically calculus, is a barrier to many natural sciences, technology and engineering fields. Physics, which is math-heavy, often proves similarly challenging to students who wish to pursue ...

You will never be able to prove every mathematical truth. For me, this incompleteness theorem, discovered by Kurt Gödel, is one of the most incredible results in mathematics. It may not surprise ...

Mathematics is full of weird number systems that most people have never heard of and would have trouble even conceptualizing. But rational numbers are familiar. They’re the counting numbers and the ...

In 1843, William Rowan Hamilton had a four-dimensional flash of insight that still shapes our three-dimensional world. When you purchase through links on our site, we may earn an affiliate commission.