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Mathematics Unlimited — 2001 and Beyond

Edited by Björn Engquist () and Wilfried Schmid ()

in Springer Books from Springer

Date: 2001
ISBN: 978-3-642-56478-9
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Chapters in this book:

Nonlinear Continuum Physics
Stuart S. Antman
Computational Mechanics: Where Is It Going?
Ivo Babuška and J. Tinsley Oden
From Finite Sets to Feynman Diagrams
John C. Baez and James Dolan
Experimental Mathematics: Recent Developments and Future Outlook
David H. Bailey and Jonathan M. Borwein
The Mathematical Aspects of Econometrics
Badi Baltagi
Quantum Information
Ole Barndorff-Nielsen, Richard D. Gill and Peter E. Jupp
The p-Adic L-Functions of Modular Elliptic Curves
Massimo Bertolini and Henri Darmon
A Basis for a New Relationship Between Mathematics and Society
Jean Pierre Bourguignon
New Issues in the Mathematics of Control
Roger Brockett
Geometric Mechanics, Lagrangian Reduction, and Nonholonomic Systems
Hernán Cendra, Jerrold E. Marsden and Tudor S. Ratiu
Mathematics: From the Outside Looking in
Achim Bachem and Vasco Alexander Schmidt
Communicating Mathematics Across the Web
Arjeh M. Cohen
Computational Aspects of Number Theory
Henri Cohen
L-Functions and Random Matrices
J. Brian Conrey
Some Open Problems and Research Directions in the Mathematical Study of Fluid Dynamics
Peter Constantin
Mathematics of Financial Markets
Mark Davis
Computational Neuroscience: More Math Is Needed to Understand the Human Brain
Erik De Schutter
Probability Theory
Rick Durrett
Selected Problems in Materials Science
E. Weinan
From Numerical Analysis to Computational Science
Björn Engquist and Gene Golub
Diophantine Equations
Gerd Faltings
After the ‘Golden Age’: What Next?
Lennart Carleson and Björn Engquist
Shape
Gerald Farin
Twistors and General Relativity
Jörg Frauendiener and Roger Penrose
Computational Complexity
Oded Goldreich
Possible Trends in Mathematics in the Coming Decades
Mikhael Gromov
Quantum Computing Challenges
Jozef Gruska
Statistical Science
Peter Hall
Global Differential Geometry
Nigel Hitchin
Evolution Equations in Geometry
Gerhard Huisken
Computational Field Visualization
Christopher R. Johnson, Yarden Livnat, Leonid Zhukov, David Hart and Gordon Kindlmann
Whither Applied Nonlinear Dynamics?
Christopher K. R. T. Jones
Mathematics Comes from Many Sources…
David Eisenbud and Sara Robinson
The Ubiquitous Heat Kernel
Jay Jorgenson and Serge Lang
Mathematical Modelling of the Internet
Frank Kelly
Developments in Insurance Mathematics
Claudia Klüppelberg
Discontinuous Groups for Non-Riemannian Homogeneous Spaces
Toshiyuki Kobayashi
Cryptography
Neal Koblitz
Periods
Maxim Kontsevich and Don Zagier
How Should We Prepare the Students of Science and Technology for a Life in the Computer Age?
Hans Petter Langtangen and Aslak Tveito
Astrophysics and Cosmology in the 21st Century
Malcolm S. Longair
L2-Invariants and Their Applications to Geometry, Group Theory and Spectral Theory
Wolfgang Lück
A Chapter in Physical Mathematics: Theory of Knots in the Sciences
Kishore B. Marathe
The Unity of Mathematics
Matthias Kreck and Vasco Alexander Schmidt
Geometric Aspects of Mirror Symmetry
David R. Morrison
What Is an Algorithm?
Yiannis N. Moschovakis
From Number Crunching to Virtual Reality: Mathematics, Physics and Computation
Risto M. Nieminen
Modeling the Cardiovascular System: A Mathematical Challenge
Alfio Quarteroni
Math in the Entertainment Industry
Doug Roble and Tony Chan
Three Problems in Real Algebraic Geometry and Their Descendants
Marie-Françoise Roy
Primitive Automorphic Forms
Kyoji Saito
Mathematical Challenges from Molecular Evolution
Peter Schuster
Mathematical Methods in Medical Imaging: Analysis of Vascular Structures for Liver Surgery Planning
Dirk Selle, Wolf Spindler, Bernhard Preim and Heinz-Otto Peitgen
Systems of Conservation Laws: A Challenge for the XXIst Century
Denis Serre
RIMS for the 21st Century
Masatake Mori, Kyoji Saito and Toshikazu Sunada
Discrete Probability
Joel Spencer
Probability Theory
Daniel W. Stroock
Error-Correcting Codes and Curves over Finite Fields
Gerard van der Geer
The Turing Machine Paradigm in Contemporary Computing
Jan van Leeuwen and Jiří Wiedermann
Randomization of Algebra and Algebraization of Probability
Anatoly M. Vershik
Dynamical Systems: Moving into the Next Century
Marcelo Viana
Noise in the Climate System — Ubiquitous, Constitutive and Concealing
Hans von Storch, Jin-Song von Storch and Peter Müller
Questions About Polytopes
Günter M. Ziegler

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DOI: 10.1007/978-3-642-56478-9

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