The papers in this volume cover many important topics of current interest in partial differential equations and several complex variables. An international group of well-known mathematicians has contributed original research articles on diverse topics such as the geometry of complex manifolds, the mean curvature equation, formal solutions of singular partial differential equations, and complex vector fields. The material in this volume is useful for graduate students and researchers interested in partial differential equations and several complex variables.

In commemoration and celebration of the tenth anniversary of the Institute of Mathematics at East China Normal University, an International Conference on complex geometry and related fields recently convened. This collection presents some of the conference highlights, dealing with various and significant topics of differential and algebraic geometry, while exploring their connections to number theory and mathematical physics. Information for our distributors: Titles in this series are co-published with International Press, Cambridge, MA.

These are the proceedings of the joint seminar by M.I.T. and Harvard on the current developments in mathematics for the year 2002. The organizing committee for the seminar consisted of distinguished mathematicians from the mathematics departments of both institutions: B. Mazur, W. Schmid, and S.T. Yau from Harvard, and D. Jerison, T. Mrowka, and R. Stanley from M.I.T. This year, the seminar was dedicated to Prof. Wilfried Schmid and Prof. George Lusztig. The 2002 speakers included Albert Bressan, Mark Haiman, Richard Hain, Stephen Kudla, Yair Minsky, John Morgan, Leslie Saper, Kari Vilonen, and David Vogan.

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 comprehensive and easy-to-follow account of many fundamental issues in this diverse field. It should be a suitable text for a graduate course on wireless communication. interested in operations research and mathematical programming.