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"Papers appearing in this volume are the Invited Talks given at ICIAM 2003, the 5th International Congress of Industrial and Applied Mathematics, held in Sydney over the period July 7 to 11, 2003. The Congress celebrates and describes the contributions of applied mathematics -- as an intellectual creation in its own right, as a foundation stone of technological development, and as an indispensable collaborative partner for other scientific disciplines. These aspects of applied mathematics have held true since the dawn of civilization. They will remain just as important in the new millennium. The authors of these papers are all acknowledged masters of their fields, having been chosen through a rigorous selection process by a distinguished International Program Committee.This volume presents an overview of contemporary applications of mathematics, with the coverage ranging from the rhythms of the nervous system, to optimal transportation, elasto-plasticity, computational drug design, hydrodynamic and meteorological modeling, and valuation in financial markets."

"People in all walks of life--and perhaps mathematicians especially--delight in working on problems for the sheer pleasure of meeting a challenge. The problem section of SIAM Review has always provided such a challenge for mathematicians. The section was started to offer classroom instructors and their students as well as other interested problemists, a set of problems--solved or unsolved-- illustrating various applications of mathematics. In many cases the unsolved problems were eventually solved. Problems in Applied Mathematics is a compilation of 380 of SIAM Review's most interesting problems dating back to the journal's inception in 1959. The problems are classified into 22 broad categories including Series, Special Functions, Integrals, Polynomials, Probability, Combinatorics, Matrices and Determinants, Optimization, Inequalities, Ordinary Differential Equations, Boundary Value Problems, Asymptotics and Approximations, Mechanics, Graph Theory, and Geometry."

""Now in a thoroughly updated and revised fourth edition, this volume features new concepts and applications to assist readers in modeling and analyzing natural, social, and technological processes. It introduces key ideas in mathematical methods and modeling, focusing on the connections between mathematics and the applied and natural sciences. This edition emphasizes probability and stochastic differential equations and includes additional coverage of mathematics biology, including biochemical kinetics, epidemiology, viral dynamics, parasitic diseases, and more. New and revised exercises are incorporated throughout"--"