Challenges for the 21st Century : Mathematics and Theoretical Physics.
Başlık:
Challenges for the 21st Century : Mathematics and Theoretical Physics.
Yazar:
Chen, L. H. Y.
ISBN:
9789812811264
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 online resource (528 pages)
İçerik:
CONTENTS -- Message from Director of Newton Institute -- Message from Director of Research and Former Dean of Science National University of Singapore -- Foreword -- List of Lectures -- Committees -- Mathematics -- A Review of Critical Point Theory -- Spectrum of Convolution Dilation Operators on Weighted Lp Spaces -- Data Tuning -- Gambling with the Truth: Markov Chain Monte Carlo -- Automorphic Representations and Cohomology of Arithmetic Groups -- Applied Mathematics Meets Signal Processing -- Modular Forms and Diophantine Questions -- Chromatic Graph Theory -- Glimpses of Nonlinear Partial Differential Equations in the Twentieth Century: A Priori Estimates and the Bernstein Problem -- Three-Dimensional Subgroups and Unitary Representations -- Theoretical Physics -- How Monte Carlo Simulations can Clarify Complex Problems in Statistical Physics -- The Future of Particle Physics -- Yang-Mills Duality and the Generation Puzzle -- The Mathematics of M-Theory -- Quantum Entanglement and Secrecy -- What Is Quantum Computation? -- Aspects of Anomalies in Field Theory -- Dynamical Chaos and Nonequilibrium Statistical Mechanics -- General Relativity and Quantum Mechanics -- Integrable Integral Operators -- Topics on Fractals in Mathematics and Physics -- Perturbative Quantum Field Theory.
Özet:
The International Conference on Fundamental Sciences: Mathematics and Theoretical Physics provided a forum for reviewing some of the significant developments in mathematics and theoretical physics in the 20th century; for the leading theorists in these fields to expound and discuss their views on new ideas and trends in the basic sciences as the new millennium approached; for increasing public awareness of the importance of basic research in mathematics and theoretical physics; and for promoting a high level of interest in mathematics and theoretical physics among school students and teachers. This was a major conference, with invited lectures by some of the leading experts in various fields of mathematics and theoretical physics. Contents: Mathematics: A Review of Critical Point Theory (K-C Chang); Data Tuning (P Hall); Applied Mathematics Meets Signal Processing (S Mallat); Chromatic Graph Theory (C Thomassen); Three-Dimensional Subgroups and Unitary Representations (D A Vogan, Jr.); Theoretical Physics: The Future of Particle Physics (J D Bjorken); The Mathematics of M-Theory (R Dijkgraaf); Aspects of Anomalies in Field Theory (K Fujikawa); General Relativity and Quantum Mechanics (J B Hartle); Perturbative Quantum Field Theory (G Sterman); and other papers. Readership: Researchers in mathematics and theoretical physics.
Notlar:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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