图书简介
This book constitutes the second volume of interviews with prominent mathematicians and mathematical scientists invited to the Institute for Mathematical Sciences, National University of Singapore. First published in the Institute’s newsletter Imprints during the period 2010–2019, they offer glimpses of an esoteric universe as viewed and experienced by some of the world’s most active and creative practitioners of the craft of mathematics.
The topics covered in this volume are wide-ranging, running from pure mathematics (logic, number theory, algebraic geometry) to applied mathematics (mathematical modeling, fluid dynamics) through probability and statistics, mathematical physics, theoretical computer science and financial mathematics. This eclectic mix of the abstract and the concrete should interest those who are enthralled by the mystique and power of mathematics, whether they are students, researchers or the non-specialists.
By briefly tracing the paths traveled by the pioneers of different national backgrounds, the interviews attempt to put a cultural face to an intellectual endeavor that is often perceived as dry and austere by the uninitiated. They should also interest those who are intrigued by the influence of the environment on the creative spirit, and, in particular, those who are interested in the psychology and history of ideas.
Key Features:
○ Showcases interviews of distinguished mathematicians and scientists who have visited the Institute
○ An excellent primary source of information on the early development of ideas from the creators and pioneers in core areas of pure and applied mathematics, computer science, mathematical physics and financial mathematics
○ Also gives the non-specialist some idea of the main issues in those fields
○ The contributors to this volume are leaders in their fields who have made fundamental and ground-changing advances. Their personal revelations throw some light on the social milieu they were in and on the role of nature versus nurture in human achievements
Jean-Pierre Serre: Seventy Yeears of Mathematics; Gang Tian: From Kähler Geometry to Quantum Cohomology; Tze Leung Lai: From Accidental Statistician to Inter-Disciplinary Statistician Who Combines Theory with Practice; Moshe Y Vardi: Sapere Aude! (Dare to Know!); Shou-Wu Zhang: Number Theory and Arithmetic Algebraic Geometry; Joseph Bernstein: Beauty and Reality in Mathematics — D-Modules, Groups, Sheaves; Ben Joseph Green: Addictive Combinatorics, A Prime Obsession; Richard A Shore: Logic, Mathematics, Computer Science; Cédric Villani: Ambassador of Mathematics Extraordinaire; Marie-France Vignéras: From Lycée to Langlands, L’Express Femme 100; Peter Gavin Hall: From Probability to Statistics — Martingales. Percolation, Bootstrap and Beyond; Olivier Pironneau: Control Theory, Computational Fluid Dynamics, Mathematical Finance; Iain Johnstone: Dealing with High-Dimensional Data — Wavelets, PCA, RMT; Benedict Gross: Elliptic Curves, Millennium Problem; Yum-Tong Siu: Hongkong–Princeton–Harvard, a Path of Several Complex Variables; Menachem Magidor: Mathematical Logic, Common-Sense Logic; Zhouping Xin: Courant in Hong Kong — Shock Waves, Nonlinear Waves; Ralph T Rockafellar: Convexity, Optimization, Risk; Richard T Durrett: Mathematical Modelling in Ecology, Genetics and Cancer Research; Shing-Tung Yau: Manifolds, Cosmos, China; Caroline Mary Series: Pearl of Hyperbolic Manifolds; Tai-Ping Liu: Boltzmann Equation, Partial Differential Equations and the Computer; Sir John Ball: Nonlinear Elasticity, Microstructures and Mathematics; Paul Embrechts: Mathematics, Insurance, Finance; Huzihiro Araki: Mathematics and Physics, A Tale of Two Cultures; Andrew Barbour: Cambridge and Zürich, Probability and Stochastik; Wendelin Werner: Probabilistic Tour de Force; Alexander Semenovich Holevo: Quantum Information, Quantum Computation; Jianqing Fan: Methodology and Insight in Statistics, Financial Crisis, High Dimensional Challenges; James V Zidek: Bridges Bayesians Build; Larry Shepp: From Putnam to CAT Scan;
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