Bøger i AMS/IP Studies in Advanced Mathematics serien

Lays the foundation for a theory of uniformization of p-adic hyperbolic curves and their moduli. On one hand, this theory generalizes the Fuchsian and Bers uniformizations of complex hyperbolic curves and their moduli to nonarchimedian places. That is why in this book, the theory is referred to as p-adic Teichmuller theory, for short.

Intends to solve the Cauchy problem for the Einstein vacuum equations with more general, asymptotically flat initial data, and describes the asymptotic behavior. This book also focuses on the derivation of estimates for the fresh terms that arise due to the presence of the electromagnetic field.

Presents the proceedings of a conference held at the University of California at Riverside in February 1995, that focused on the interplay between the theory of Lie algebras of prime characteristic, quantum groups and Lie superalgebras.

Contains the proceedings from the International Conference on Nonlinear Evolutionary Partial Differential Equations held in Beijing in June 1993. This book contains discussion topics that include conservation laws, dispersion waves, Einstein's theory of gravitation, reaction-diffusion equations, the Navier-Stokes equations, and more.

Provides an elementary introduction to $p$-adic analysis from the number theory perspective. With over 100 exercises, it will acquaint the non-expert with the basic ideas of the theory and encourage the novice to enter this fertile field of research. The main focus of the book is the study of $p$-adic $L$-functions and their analytic properties.

In commemoration of the tenth anniversary of the Institute of Mathematics at East China Normal University, an International Conference on complex geometry and related fields convened. This book presents conference highlights, dealing with topics of differential and algebraic geometry. It also explores their connections to number theory.

Phenomena of contact between deformable bodies or between deformable and rigid bodies abound in everyday life. This book introduces a mathematical theory of contact problems involving deformable bodies. It covers mechanical modeling, mathematical formulations, variational analysis, and the numerical solution of the associated formulations.

Wavelet analysis has had a great impact in areas such as approximation theory, harmonic analysis, and scientific computation. This book focuses on applications of wavelets to numerical solutions of partial differential equations and integral equations, image processing and facial recognition, and computer vision.

Computational geometry is a borderline subject related to pure and applied mathematics, computer science, and engineering. This book contains topics that include problems of optimal triangulation, splines, data interpolation, problems of curve and surface design, problems of shape control, quantum teleportation, and more.

Presents lectures delivered at a workshop held at the Chinese Academy of Sciences (Bejing). Suitable as a text for a graduate course on wireless communication, this title includes the following articles: ""Nonlinear Systems Control"", ""Adaptive Control of Discrete-Time Nonlinear Systems with Structural Uncertainties"", and ""Networks and Learning"".

Consists of the proceedings of the Third International Congress of Chinese Mathematicians, held at the Chinese University of Hong Kong in December 2004. This book features lectures on topics such as algebra, number theory and cryptography; algebraic geometry and algebraic topology; and, geometric analysis; complex analysis and complex geometry.

Contains papers presented at the conference, 'Computational Perspectives on Number Theory' held at the University of Illinois at Chicago in honor of the retirement of A O L Atkin. This work covers a range of topics, including algebraic number theory, $p$-adic modular forms and modular curves.