This book explores the rich and deep interplay between mathematics and physics one century
after David Hilbert¿s works from 1891 to 1933 published by Springer in six volumes. The most
prominent scientists in various domains of these disciplines contribute to this volume
providing insight to their works and analyzing the impact of the breakthrough and the
perspectives of their own contributions. The result is a broad journey through the most recent
developments in mathematical physics such as string theory quantum gravity noncommutative
geometry twistor theory Gauge and Quantum fields theories just to mention a few. The reader
accompanied on this journey by some of the fathers of these theories explores some far
reaching interfaces where mathematics and theoretical physics interact profoundly and gets a
broad and deep understanding of subjects which are at the core of recent developments in
mathematical physics. The journey is not confined to the present state of the art but sheds
light on future developments of the field highlighting a list of open problems. Graduate
students and researchers working in physics mathematics and mathematical physics will find
this journey extremely fascinating. All those who want to benefit from a comprehensive
description of all the latest advances in mathematics and mathematical physics will find this
book very useful too.
