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Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists ofinvited expository and research articles on new developments arising fromManin's outstanding contributions to mathematics.

Algebra, Arithmetic, and Geometry: In Honor of Yu. I. Manin consists ofinvited expository and research articles on new developments arising fromManin's outstanding contributions to mathematics.

The first seven chapters discuss the direct solution of systems of linear equations, the solution of nonlinear systems, least squares prob lems, interpolation by polynomials, numerical quadrature, and approxima tion by Chebyshev series and by Remez' algorithm.

This text focuses on various aspects of dynamic game theory, and serves as a guide to the vitality of the field and its applications. A variety of topics are presented including: robust control design and H infinity; pursuit-evasion games; and coupled dynamic and stochastic games.

Consists of 14 research articles that are an outgrowth of a scientific meeting held in Cortona on the subject of Carleman Estimates and Control Theory. This volume includes topics such as unique continuation for elliptic PDEs and systems, control theory and inverse problems. It is suitable for researchers and graduate students of pdes.

This work has implications for many physical problems involving optimal design, composite materials, and coherent phase transitions. Still other work was published in standard books or journals, but written in Russian or French.

Shape optimization problems are treated from the classical and modern perspectives. This title is suitable for graduate students in pure and applied mathematics, as well as engineers requiring a mathematical basis for the solution of practical problems.

This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).

For more than two thousand years some familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person.

Features research articles that are dedicated to the great French mathematician Jean Leray. This title presents a range of topics with significant results - detailed proofs - in the areas of partial differential equations, complex analysis, and mathematical physics.

Excellent introductory material on the calculus of time scales and dynamic equations.; Numerous examples and exercises illustrate the diverse application of dynamic equations on time scales.; Useful as a comprehensive resource of time scales and dynamic equations for pure and applied mathematicians.;

Then, major steps in the evolution of spacetime concepts were made by Einstein in 1905 (special relativity) and 1915 (general relativity) by using Riemannian connection.

Rota's early work was in analysis, more specifically, in operator theory, differ ential equations, ergodic theory, and probability theory. Later, in the 1990's, Rota returned to some of the problems in analysis and probability theory which motivated his work in combinatorics.

This book is primarily a research monograph that presents in a unified man ner some recent research on a class of hybrid dynamical systems (HDS).

In the field known as "the mathematical theory of shock waves," very exciting and unexpected developments have occurred in the last few years. The stability theory of "viscous" shock waves has received a new, geometric perspective due to the work of Kevin Zumbrun and collaborators, which offers a spectral approach to systems.

Highlights developments in nonlinear analysis and differential equations. This work covers: periodic solutions of systems with p-Laplacian type operators; bifurcation in variational inequalities; a geometric approach to dynamical systems in the plane via twist theorems; and asymptotic behavior and periodic solutions for Navier-Stokes equations.

"Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. Bentley * G. Castellini * R. El Bashir * H. Husek * L. Melton * G. Schroeder * L. Strecker * A.

A comprehensive study of the computational aspects of the moduli of smoothness and the Global Smoothness Preservation Property (GSPP). It includes applications of moduli of smoothness and GSPP concepts to approximation theory, probability theory, numerical and functional analysis; and a bibliography and index.

The growing interest in these problems is reflected by the series of meetings held under the title "Free Boundary Problems: Theory and Applications" (Ox ford 1974, Pavia 1979, Durham 1978, Montecatini 1981, Maubuisson 1984, Irsee 1987, Montreal 1990, Toledo 1993, Zakopane 1995, Crete 1997, Chiba 1999).

This book is based on the papers presented at the International Conference 'Quality Improvement through Statistical Methods' in Cochin, India during December 28-31, 1996.

A work that is suitbale for graduate students and researchers working in the important area of partial differential equations with a focus on problems involving conservation laws. It includes a range of topics, from the treatment to results, dealing with solutions to 2D compressible Euler equations.

A hundred years ago it became known that deterministic systems can exhibit very complex behavior. For example, in throwing a die, we can study the limiting behavior of the system by viewing the long-term behavior of individual orbits.

This book is written to be a convenient reference for the working scientist, student, or engineer who needs to know and use basic concepts in complex analysis. This book is a handy com pendium of all basic facts about complex variable theory.

The problem of controlling the output of a system so as to achieve asymptotic tracking of prescribed trajectories and/or asymptotic re jection of undesired disturbances is a central problem in control the ory.

This text presents a self-contained and systematic survey of the theory and computation of conformal mappings of simply and multiply-connected regions onto the unit disk or canonical region. It provides coverage of the concepts and related numerial computations.

The natural measure of difficulty of a function is the amount of time needed to compute it (as a function of the length of the input). In recursion theory, by contrast, a function is considered to be easy to compute if there exists some algorithm that computes it.

This volume presents a development of the ideas of harmonic analysis with a special emphasis on application-oriented themes.

The idea of writing this book orIgmates from a suggestion of Bernard Sapoval: "Why don't you write it?" " The content ofthe book, in a shorter form, was first taught for four years as a course in Dipl6me d'Etudes Approfondies Sciences des Materiaux, headed by Prof.

Sri Gopal Mohanty has made pioneering contributions to lattice path counting and its applications to probability and statistics. Combinatorics and applications of combinatorial methods in probability and statistics has become a very active and fertile area of research in the recent past.

The applications range from basic studies of the driving forces of cell division (and thus life) via genetic modification of cells (for example, for plant breeding) to medical applications such as blood cell analysis and finally in vitro fertilization.