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One of the main problems in control theory is the stabilization problem consisting of finding a feedback control law ensuring stability;
This thoroughly revised and expanded third edition is a practical guide to data analysis using the bootstrap, cross-validation, and permutation tests.
This text presents differential forms from a geometric perspective accessible at the undergraduate level. It begins with basic concepts such as partial differentiation and multiple integration and gently develops the entire machinery of differential forms.
The book treats four fundamental problems: the number of primes below a given limit, the approximate number of primes, the recognition of primes and the factorization of large numbers.
Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or establishedA comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematicsIncluded throughout are many examples and hundreds of problems, and a separate 55-page section gives hints or complete solutions for most.
This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method.
Featuring a problem-solving approach to linear algebra, this work aims to develop the theoretical foundations of vector spaces, linear equations, matrix algebra, eigen vectors, and orthogonality. It also emphasizes applications and connections to fields such as biology, economics, computer graphics, cryptography, and political science.
Revised and updated, this second edition of Walter Gautschi's successful Numerical Analysis explores computational methods for problems arising in the areas of classical analysis, approximation theory, and ordinary differential equations, among others.
This volume, a collection of invited contributions developed from talks at an international conference on wavelets, is divided into three parts: Part I is devoted to the mathematical theory of wavelets and features several papers on wavelet sets and the construction of wavelet bases in different settings.
This book lays a comprehensive theoretical foundation for the study of networked control systems, and introduces tools for work in the field. Covers characterization, comparison and design of information structures in static and dynamic teams and much more.
This collection of selected contributions gives an account of recent developments in dynamic game theory and its applications, covering both theoretical advances and new applications of dynamic games in such areas as pursuit-evasion games, ecology, and economics.
Provides a more cohesive and sharply focused treatment of fundamental concepts and theoretical background material, with particular attention given to better delineating connections to varying applicationsExposition driven by additional examples and exercises
" Although there is a connection between the first piece and the second, the four pieces here are essentially independent. This piece purports, as a secondary goal, to present a solution to a certain unsolved historical problem raised in the first piece.
This monograph is a self-contained introduction to the geometry of Riemann Surfaces of constant curvature -1 and their length and eigenvalue spectra. It focuses on two subjects: the geometric theory of compact Riemann surfaces of genus greater than one, and the relationship of the Laplace operator with the geometry of such surfaces.
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