Mathematics unlimited 2001 and beyond

This book not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future developments as we enter a new millenium. It extends beyond the spectrum of mathematics, both pure and applied, to include contributions from other related sciences.

Nonlinear continuum physics. Computational mechanics. Experimental mathematics. Control theory. Some open problems and research directions in the mathematical study of fluid dynamics. p-adic L-functions. Diophantine equations. SHAPE. Developments in insurance mathematics. Cryptography. Whither applied nonlinear dynamics ? The heat kernel all over the place. Selected developments in geometric mechanics. Four problems in real algebraic geometry. Systems of conservation laws. Discrete probability. Error correcting codes and curves over finite fields. Dynamical systems. Noise in climate models.