With contributions from some of the most prominent scientists in mathematics and physics Accessible to a broad audience with a background in mathematics or physics

Contains historical chapters such as the one on the relationship between Hilbert and Einstein

With contributions from Michael Atiyah, Roger Penrose, Edward Witten, Misha Gromov, Alain Connes, Lee Smolin, John Stachel and many others Accessible to a broad audience with a background in mathematics or physics Contains historical chapters such as the one on the relationship between Hilbert and Einstein

Inhalt
Preface : Where we stand today, Joseph Kouneiher.- Mie's Electromagnetic Theory of Matter and the Background to Hilbert's Unified Foundations of Physics, Leo Corry.- Hilbert and Einstein, Joseph Kouneiher, John Stachel.- Grothendieck on foundations for the rebirth of geometry, Colin MacLarty.- Understanding the 6-Dimensional Sphere, Michael Aityah.- A dozen problems, questions and conjectures about positive scalar curvature, Misha Gromov.- Geometry and the Quantum, Alain Connes.- What Every Physicist Should Know About String Theory, Edward Witten.- Quanta of Space-Time and Axiomatization of Physics, Ali Chamsddine.- Twistor Theory as an Approach to Fundamental Physics, Roger Penrose.- What are we missing in our search for quantum gravity?, Lee Smolin.- A schema for duality, illustrated by bosonization, Jeremy Butterfield and Sebastian de Haro.- The dressing field method of gauge symmetry reduction, a review with examples, Thierry Masson et al.- Syntactic Phylogenetic Trees, Matilde Marcolli.