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In the study of these phenomena an important role is played by well-chosen model equations, which are often simpler than the full equations describing the physical or biological system, but still capture its essential features.
These papers include contributions on the following areas: robust control design and H-infinity-theory; pursuit-evasion games and numerical schemes; numerical solutions of discrete time games, based on mathematical programming techniques; and stochastic, differential, sequential and Markov games.
Adams) * Algebraic and geometric aspects of the Knizhnik-Zamolodchikov equations in conformal field theory (P. Bouwknegt) * Application of the representation theory of loop groups to simple models in quantum field theory and to certain integrable systems (A.L. Ruan) * The physics origin of Seiberg-Witten equations in 4-manifold theory (S.
Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole.
as was understood later, the family of shifted and modulated Gaussians spans the space of square integrable functions [BBGK71, Per71] (it even has one function to spare [BGZ75] .
Fluid mechanics (FM) is a branch of science dealing with the investi gation of flows of continua under the action of external forces. The availability of the conservation laws is conditioned by the homogeneity and isotrop icity properties of the Euclidean space, and the form of these laws is related to the Newton's laws.
Michele Matzeu Alfonso Vignoli Editors Topological Nonlinear Analysis II Degree, Singularity and Variations Classical Solutions for a Perturbed N-Body System Gianfausto Dell 'A ntonio O.
Building bridges between classical results and contemporary nonstandard problems, this highly relevant work embraces important topics in analysis and algebra from a problem-solving perspective.
This study of the nonlinear output regulation problem embraces local as well as global cases, covering such aspects as controller design and practical implementation issues.
This book on the theory of three-dimensional spinors and their applications fills an important gap in the literature. From the reviews:"Gathers much of what can be done with 3-D spinors in an easy-to-read, self-contained form designed for applications that will supplement many available spinor treatments.
The first volume dealt with the simplest control systems (i.e., single input, single output linear time-invariant systems) and with the simplest algebraic geometry (i.e., affine algebraic geometry).
This volume consists of twenty-four papers selected by the editors from the sixty-one papers presented at the 1st International Conference on Mathemati cal Methods in Reliability held at the Politehnica University of Bucharest from 16 to 19 September 1997.
This book offers a collection of tools and techniques that make predictor feedback ideas applicable to nonlinear systems, systems modeled by PDEs, and systems with highly uncertain or completely unknown input/output delays.
Filling a gap in the literature, this self-contained book presents theoretical and application-oriented results to structurally explore complex networks. Applications to biology, chemistry, linguistics, and data analysis are emphasized.
This unified, revised second edition of a two-volume set is a self-contained account of quadratic cost optimal control for a large class of infinite-dimensional systems. There is a unique chapter on semigroup theory of linear operators that brings together advanced concepts and techniques which are usually treated independently.
This book offers a unified presentation that does not discriminate between atmospheric and space flight.
This volume is designed as a textbook for an introductory course on wavelet analysis and time-frequency analysis aimed at graduate students or advanced undergraduates in science and engineering.
This volume is a collection of scholarly articles on the Mach Principle, the impact that this theory has had since the end of the 19th century, and its role in helping Einstein formulate the doctrine of general relativity.
Logic is, and should be, the core subject area of modern mathemat ics. There is need for a book that introduces important logic terminology and concepts to the working mathematical scientist who has only a passing acquaintance with logic.
This book explore the use of new technologies in the area of satellite navigation receivers. In order to construct a reconfigurable receiver with a wide range of applications, the authors discuss receiver architecture based on software-defined radio techniques.
A collection of 37 articles on Albert Einstein. It debunks many of the old myths about Einstein and offers novel insight into his life and work. It also discusses Einstein's troubled relationship with his first wife, his friendships with other physicists such as Eddington, Bose, and Pauli, and his Jewish identity.
Focuses on the mathematical techniques and solution methodologies required to establish the foundations of anisotropic elasticity and provides the theoretical background for composite material analysis. This work is useful for graduate students and professors, applied mathematicians, numerical analysts, scientists, engineers, and researchers.
This introductory textbook takes a problem-solving approach to number theory, situating each concept within the framework of an example or a problem for solving.
This concisely written book gives an elementary introduction to a classical area of mathematics - approximation theory - in a way that naturally leads to the modern field of wavelets.
Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics.
This book provides a comprehensive presentation of the conceptual basis of wavelet analysis, including the construction and analysis of wavelet bases.
This practical yet rigorous book provides a development of nonlinear, Lyapunov-based tools and their use in the solution of control-theoretic problems. Rich in motivating examples and new design techniques, the text balances theoretical foundations and real-world implementation.
Kuo-Tsai Chen (1923-1987) is best known to the mathematics community for his work on iterated integrals and power series connections in conjunction with his research on the cohomology of loop spaces.
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