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Intended as a self-contained introduction to measure theory, this textbook also includes a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups.
The twenty-six papers in this volume reflect the wide and still expanding range of Anil Nerode's work. Recursive model theory is the subject of papers by Hird, Moses, and Khoussainov & Dadajanov, while a combinatorial problem in recursive model theory is discussed in Cherlin & Martin's paper.
In 1959 John Backus presented a paper on a proposed international algebraic language which evolved into ALGOL 60. This set of two volumes aims to review the attempts over recent years to use programming languages based on ALGOL 60, using Backus' original document as an introduction.
¿¿Advances in science and technology are driven by the development of rigorous mathematical foundations for the study of both theoretical and experimental models. With certain methodological variations, this type of study always comes down to the application of analytic or computational integration procedures, making such tools indispensible. With a wealth of cutting-edge research in the field, Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques provides a detailed portrait of both the construction of theoretical integral techniques and their application to specific problems in science and engineering. The chapters in this volume are based on talks given by well-known researchers at the Twelfth International Conference on Integral Methods in Science and Engineering, July 23¿27, 2012, in Porto Alegre, Brazil. They address a broad range of topics, from problems of existence and uniqueness for singular integral equations on domain boundaries to numerical integration via finite and boundary elements, conservation laws, hybrid methods, and other quadrature-related approaches. The contributing authors bring their expertise to bear on a number of topical problems that have to date resisted solution, thereby offering help and guidance to fellow professionals worldwide. Integral Methods in Science and Engineering: Progress in Numerical and Analytic Techniques will be a valuable resource for researchers in applied mathematics, physics, and mechanical and electrical engineering, for graduate students in these disciplines, and for various other professionals who use integration as an essential tool in their work.¿
This collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena.
This textbook introduces variational methods and their applications to differential equations to graduate students and researchers interested in differential equations and nonlinear analysis.
The papers in this volume represent a selection of updated talks which were presented in an SDS sponsored International Workshop in Panporovo, Bulgaria, in September 1990. The aim of the text is to bring the reader up to date on research in set-valued analysis and differential inclusions.
Featuring research from experts in sliding mode control, this book presents new design schemes for implementing an optimal control having the output system as the only information of the vector state. The benefit is greater applicability to real-world systems.
This book-the first of its kind-presents general methods for feedback controller synthesis and optimization of multiscale systems, illustrating their application to thin-film growth, sputtering processes, and catalytic systems of industrial interest.
This book is a publication in Swiss Seminars, a subseries of Progress in Mathematics. It is an expanded version of the notes from a seminar on intersection cohomology theory, which met at the University of Bern, Switzerland, in the spring of 1983.
The Markov chain approximation methods are widely used for the numerical solution of nonlinear stochastic control problems in continuous time.
This volume uses a unified approach to representation theory and automorphic forms.
The book establishes theoretically rich and practically important connections among modern control theory, Shannon information theory, and entropy theory of dynamical systems originated in the work of Kolmogorov.This self-contained monograph covers the latest achievements in the area.
Presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. This title is suitable for graduate students in mathematics and physics (including physical chemistry) and researchers concerned with the general areas of dynamical systems, statistical mechanics, and mathematical physics.
The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.
Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods.
First released in 1991, this book surveys problems of nonintersection of random walks and the self-avoiding walk. Covers discrete harmonic measure; probability that independent random walks do not intersect and properties of walks without self-intersections.
Creative thinking is the key to solving mathematical problems, and this book outlines the tools necessary to improve the reader's technique.The text is divided into twelve chapters, each providing corresponding hints, explanations, and finalization of solutions for the problems in the given chapter.
This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labelings and its application to a number of new areas. It may serve as a graduate text for courses and seminars in mathematics or computer science, or as a professional text for the researcher.
The revised and expanded edition of this textbook presents concepts and applications of random processes with the addition of material on biological modeling. While still treating many problems in fields such as engineering and mathematical physics, the book also focuses on the topics of cancerous mutations, influenza evolution, drug resistance, and immune response.
The first book of its kind, New Foundations in Mathematics: The Geometric Concept of Number uses geometric algebra to present an innovative approach to elementary and advanced mathematics.
This book contains both a synthesis and mathematical analysis of a wide set of algorithms and theories whose aim is the automatic segmen tation of digital images as well as the understanding of visual perception.
Here is a comprehensive, systematic study of finite frame theory and applications. Coverage includes frame constructions, group frames, fusion frames, pseudo-frames, frames and algebraic geometry, and robustness against erasures.
Stability is one of the most studied issues in the theory of time-delay systems, however the corresponding chapters of published volumes on time-delay systems do not include a comprehensive study of a counterpart of classical Lyapunov theory for linear delay free systems.
Written by seven of the most prominent pioneers of the interval market model and game-theoretic approach to finance, this book provides a detailed account of several closely related modeling techniques for an array of problems in mathematical economics.
The Norbert Wiener Center for Harmonic Analysis and Applications provides a state-of-the-art research venue for the broad emerging area of mathematical engineering in the context of harmonic analysis.
Provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on modern fractal theory and applications.
This volume comprises a carefully selected collection of articles emerging from and pertinent to the 2010 CFL-80 conference in Rio de Janeiro, celebrating the 80th anniversary of the Courant-Friedrichs-Lewy (CFL) condition. A major result in the field of numerical analysis, the CFL condition has influenced the research of many important mathematicians over the past eight decades, and this work is meant to take stock of its most important and current applications.The Courant¿Friedrichs¿Lewy (CFL) Condition: 80 Years After its Discovery will be of interest to practicing mathematicians, engineers, physicists, and graduate students who work with numerical methods.
Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals.
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