ISBN: 3540669132
TITLE: Mathematics Unlimited - 2001 and Beyond
AUTHOR: Engquist, Bjrn; Schmid, Wilfried (Eds.)
TOC:

Stuart S. Antman
Nonlinear Continuum Physics 1
Ivo Babuka, J. Tinsley Oden
Computational Mechanics: Where Is It Going? 23
John C. Baez, James Dolan
From Finite Sets to Feynman Diagrams 29
David H. Bailey, Jonathan M. Borwein
Experimental Mathematics:
Recent Developments and Future Outlook 51
Badi H. Baltagi
The Mathematical Aspects of Econometrics 67
Ole E. Barndorff-Nielsen
Richard D. Gill, Peter E. Jupp
Quantum Information 83
Massimo Bertolini, Henri Darmon
The p-Adic L-Functions of Modular Elliptic Curves 109
Jean-Pierre Bourguignon
A Basis for a New Relationship Between Mathematics and Society 171
Roger Brockett
New Issues in the Mathematics of Control 189
Hernn Cendra, Jerrold E. Marsden, Tudor S. Ratiu
Geometric Mechanics, Lagrangian Reduction, and Nonholonomic Systems 221
Achim Bachem interviewed by Vasco Alexander Schmidt
Mathematics: From the Outside Looking in 275
Arjeh M. Cohen
Communicating Mathematics Across the Web 283
Henri Cohen
Computational Aspects of Number Theory 301
J. Brian Conrey
L-Functions and Random Matrices 331
Peter Constantin
Some Open Problems and Research Directions in the Mathematical Study of Fluid Dynamics 353
Mark Davis
Mathematics of Financial Markets 361
Erik De Schutter
Computational Neuroscience: More Math Is Needed to Understand the Human Brain 381
Rick Durrett
Probability Theory  An Introduction to Its Applications 393
Weinan E
Selected Problems in Materials Science 407
Bjrn Engquist, Gene Golub
From Numerical Analysis to Computational Science 433
Gerd Faltings
Diophantine Equations 449
Lennart Carleson interviewed by Bjrn Engquist
After the 'Golden Age': What Next? 455
Gerald Farin
Shape 463
Jrg Frauendiener, Roger Penrose
Twistors and General Relativity 479
Oded Goldreich
Computational Complexity 507
Mikhael Gromov
Possible Trends in Mathematics in the Coming Decades 525
Jozef Gruska
Quantum Computing Challenges 529
Peter Hall
Statistical Science  Evolution, Motivation and Direction 565
Nigel Hitchin
Global Differential Geometry 577
Gerhard Huisken
Evolution Equations in Geometry 593
Christopher R. Johnson, Yarden Livnat, Leonid Zhukov, David Hart, Gordon Kindlmann
Computational Field Visualization 605
Christopher K.R.T. Jones
Whither Applied Nonlinear Dynamics? 631
David Eisenbud interviewed by Sara Robinson
Mathematics Comes from Many Sources... 647
Jay Jorgenson, Serge Lang
The Ubiquitous Heat Kernel 655
Frank Kelly
Mathematical Modelling of the Internet 685
Claudia Klppelberg
Developments in Insurance Mathematics 703
Toshiyuki Kobayashi
Discontinuous Groups for Non-Riemannian Homogeneous Spaces 723
Neal Koblitz
Cryptography 749
Maxim Kontsevich, Don Zagier
Periods 771
Hans Petter Langtangen, Aslak Tveito
How Should We Prepare the Students of Science and Technology for a Life in the Computer Age? 809
Malcolm S. Longair
Astrophysics and Cosmology in the 21st Century 827
Wolfgang Lck L^2-Invariants and Their Applications to Geometry, Group Theory and Spectral Theory 859
Kishore B. Marathe
A Chapter in Physical Mathematics: Theory of Knots in the Sciences 873
Matthias Kreck interviewed by Vasco Alexander Schmidt
The Unity of Mathematics 889
David R. Morrison
Geometric Aspects of Mirror Symmetry 899
Yiannis N. Moschovakis
What Is an Algorithm? 919
Risto M. Nieminen
From Number Crunching to Virtual Reality: Mathematics, Physics and Computation 937
Alfio Quarteroni
Modeling the Cardiovascular System: A Mathematical Challenge 961
Doug Roble, Tony Chan
Math in the Entertainment Industry 971
Marie-Franoise Roy
Three Problems in Real Algebraic Geometry and Their Descendants 991
Kyoji Saito
Primitive Automorphic Forms 1003
Peter Schuster
Mathematical Challenges from Molecular Evolution 1019
Dirk Selle, Wolf Spindler, Bernhard Preim, Heinz-Otto Peitgen
Mathematical Methods in Medical Imaging: Analysis of Vascular Structures for Liver Surgery Planning 1039
Denis Serre
Systems of Conservation Laws: A Challenge for the XXIst Century 1061
Masatake Mori and Kyoji Saito interviewed by Toshikazu Sunada
RIMS for the 21st Century 1081
Joel Spencer
Discrete Probability 1095
Daniel W. Stroock
Probability Theory  A Somewhat Narrow Perspective 1105
Gerard van der Geer
Error-Correcting Codes and Curves over Finite Fields 1115
Jan van Leeuwen, Jir Wiedermann
The Turing Machine Paradigm in Contemporary Computing 1139
Anatoly M. Vershik
Randomization of Algebra and Algebraization of Probability  An Attempt at Prediction 1157
Marcelo Viana
Dynamical Systems: Moving into the Next Century 1167
Hans von Storch, Jin-Song von Storch, Peter Mller
Noise in the Climate System  Ubiquitous, Constitutive and Concealing 1179
Gnter M. Ziegler
Questions About Polytopes 1195
Biographies 1213
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