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Foundations of Mathematics and Physics one Century After Hilbert

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Cover of 'Foundations of Mathematics and Physics one Century After Hilbert'

Table of Contents

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    Book Overview
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    Chapter 1 Where We Stand Today
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    Chapter 2 Mie’s Electromagnetic Theory of Matter and the Background to Hilbert’s Unified Foundations of Physics
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    Chapter 3 Hilbert and Einstein
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    Chapter 4 Grothendieck’s Unifying Vision of Geometry
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    Chapter 5 Understanding the 6-Dimensional Sphere
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    Chapter 6 A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature
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    Chapter 7 Geometry and the Quantum
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    Chapter 8 What Every Physicist Should Know About String Theory
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    Chapter 9 Quanta of Space-Time and Axiomatization of Physics
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    Chapter 10 Twistor Theory as an Approach to Fundamental Physics
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    Chapter 11 What Are We Missing in Our Search for Quantum Gravity?
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    Chapter 12 A Schema for Duality, Illustrated by Bosonization
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    Chapter 13 The Dressing Field Method of Gauge Symmetry Reduction, a Review with Examples
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    Chapter 14 Syntactic Phylogenetic Trees
Attention for Chapter 3: Hilbert and Einstein
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