In 1998 Thomas Hales dramatically announced the solution of a problem which has long teased eminent mathematicians: what is the densest possible arrangement of identical spheres? In this book Denis Weaire and Tomaso Aste recount the story of this problem and many others which have to do with packing things […]
The recent revolution in differential topology related to the discovery of non-standard (“exotic”) smoothness structures on topologically trivial manifolds such as R4 suggests many exciting opportunities for applications of potentially deep importance for the spacetime models of theoretical physics, especially general relativity. This rich panoply of new differentiable structures lies […]
This book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and […]
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