Foundations of Mathematics and Physics One Century After Hilbert (eBook, PDF)

New Perspectives
Redaktion: Kouneiher, Joseph

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer International Publishing
• Seitenzahl: 441
• Erscheinungstermin: 26. Mai 2018
• Englisch
• ISBN-13: 9783319648132
• Artikelnr.: 52725502

Inhaltsangabe

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.

Rezensionen

"This wonderful book is full of such insights, reflections, analyses, appraisals, and even anecdotes, and should be a smash hit: we should all seek to know more about these foundations, and we have a wonderful set of essays here, based off Hilbert's original wonderful lectures, and a lot more." (Michael Berg, MAA Reviews, July, 2018)