John McGreevy is Professor of Physics at the University of California, San Diego. He is a theoretical physicist with interests in quantum matter, string theory, and ...

How can the behavior of elementary particles and the structure of the entire universe be described using the same mathematical concepts? This question is at the heart of the recent work by ...

THIS book contains a series of lectures on some of the fundamental principles of mathematics, treated from the most recent and scientific point of view; that is, mainly with reference to their ...

Visit NAP.edu/10766 to get more information about this book, to buy it in print, or to download it as a free PDF. §14.2 Algebraic Topology. Topology is generally introduced as I described it in §AG.6, ...

Differential manifolds provide higher dimensional generalizations of surfaces. They appear in a very natural manner in many areas of mathematics and physics. On a differential manifold or more ...

IN these twelve lectures, which are excellently reported by Mr. Ziwet, it was the intention of Prof. Klein to present his hearers with an account of some of the modern developments of mathematics, ...

The drive to get every student to take so-called college gateway courses has succeeded, a new federal study finds, but students taking Algebra 1 and Geometry classes are getting considerably less ...