This volume contains the proceedings of the 1999 International Conference on Differential Equations and Mathematical Physics. The contributions selected for this volume represent some of the most important presentations by scholars from around the world on developments in this area of research. The papers cover topics in the general area of linear and nonlinear differential equations and their relation to mathematical physics, such as multiparticle Schrodinger operators, stability of matter, relativity theory, fluid dynamics, spectral and scattering theory including inverse problems. Titles...

This volume resulted from a year-long programme at the Morningside Center of Mathematics and the Academia Sinica in Beijing. It presents an overview of nonlinear conversation laws and introduces developments in this expanding field. Zhouping Xin's introductory overview of the subject is followed by lecture notes of leading experts who have made fundamental contributions to this field of research. A. Bressan's theory of $-well-posedness for entropy weak solutions to systems of nonlinear hyperbolic conversation laws in the class of viscosity solutions is one of the most important results in the...

This volume presents lectures delivered at a workshop held at the Chinese Academy of Sciences (Bejing). The following articles are included: Nonlinear Systems Control by R. Brockett, Adaptive Control of Discrete-Time Nonlinear Systems with Structural Uncertainties by L.-L. Xie and L. Guo, Networks and Learning by P.R. Kumar, Mathematical Aspects of the Power Control Problem in Mobile Communication Systems by C.W. Sung and W.S. Wong, and Brockett's Problem on Nonlinear Filtering Theory by S.S.-T. Yau. Basic concepts and current research are both presented in the book. The volume offers a...

This work is intended as both an introductory text and a reference book for those interested in studying several complex variables in the context of partial differential equations. Significant progress has been made in the study of Cauchy-Riemann and tangential Cauchy-Riemann operators; this progress greatly influenced the development of PDEs and several complex variables.

The theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. This book examines the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics.

Consists of the proceedings of the Third International Congress of Chinese Mathematicians, held at the Chinese University of Hong Kong in December 2004. The Congress brought together eminent Chinese and overseas mathematicians to discuss the developments i

This work is devoted to chaotic nonlinear dynamics. It presents a consistent, up-to-date introduction to the field of strange attractors, hyperbolic repellers, and nonlocal bifurcations. The authors keep the highest possible level of physical intuition while staying mathematically rigorous. In addition, they explain a variety of important nonstandard algorithms and problems involving the computation of chaotic dynamics. The book will help readers who are not familiar with nonlinear dynamics to understand and enjoy sophisticated modern monographs on dynamical systems and chaos. It is intended...

Insight has been gained on a number of key issues in mirror symmetry. This volume surveys these results. The areas covered are organized into four sections, and each presents papers by both physicists and mathematicians. This volume collects the most important developments that have taken place in mathematical physics since 1991. It is intended as a reference tool for both mathematics and physics libraries and for students of physics and mathematics.

Treats mirror symmetry from the perspectives of both mathematics and physics. This book features articles that are grouped into four sub-categories within the topic of mirror symmetry: arithmetic aspects, geometric aspects, differential geometric and mathe

Coding theory draws on a remarkable selection of mathematical topics, both pure and applied. This title includes various contributions that introduce coding theory and its developments and applications, emphasizing both mathematical and engineering perspec