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This graduate-level textbook provides an introduction to the basic ideas and concepts of universal algebra and surveys of newer developments. Universal Algebra and Applications in Theoretical Computer Science is written in a style accessible to beginners, with every new concept clearly explained and numerous examples provided. The main ideas of concept lattices as an important tool for conceptual analysis of data are developed, and several examples are given. The algebraic theory of tree automata and its interconnections to universal-algebraic concepts are described. The final part of the book is devoted to key applications of universal algebra in theoretical computer science.

Algebra --- Computer science --- Algebra, Universal. --- Mathematics. --- Algebra, Universal --- Algèbre universelle --- Informatique --- Mathematics --- Mathématiques --- Algèbre universelle. --- Mathématiques. --- Algèbre universelle. --- Mathématiques.

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Infinite products of matrices are used in nonhomogeneous Markov chains, Markov set-chains, demographics, probabilistic automata, production and manpower systems, tomography, and fractals. More recent results have been obtained in computer design of curves and surfaces. This book puts together much of the basic work on infinite products of matrices, providing a primary source for such work. This will eliminate the rediscovery of known results in the area, and thus save considerable time for researchers who work with infinite products of matrices. In addition, two chapters are included to show how infinite products of matrices are used in graphics and in systems work.

Matrices. --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal

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Duality theory (Mathematics) --- Dualité, Principe de (mathématiques) --- Logique algébrique. --- Algebraic logic --- Algèbre universelle. --- Algebra, Universal --- Dualité, Principe de (mathématiques) --- Logique algébrique. --- Algèbre universelle.

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Algebraic topology --- Categories (Mathematics) --- Homotopy theory --- Deformations, Continuous --- Topology --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Functor theory --- Homotopy theory. --- Catégories (mathématiques) --- Homotopie --- Homotopie.

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Matrix-analytic methods are fundamental to the analysis of a family of Markov processes rich in structure and of wide applicability. They are extensively used in the modelling and performance analysis of computer systems, telecommunication networks, network protocols and many other stochastic systems of current commercial and engineering interest.This volume deals with: (1) various aspects of the theory of block-structured Markov chains; (2) analysis of complex queueing models; and (3) parameter estimation and specific applications to such areas as cellular mobile systems, FS-ALOHA, the Intern

Markov processes --- Queuing theory --- Matrices --- Stochastic processes --- Algebra, Matrix --- Cracovians (Mathematics) --- Matrix algebra --- Matrixes (Algebra) --- Algebra, Abstract --- Algebra, Universal --- Markov, Processus de --- Files d'attente, Théorie des --- Processus stochastiques --- Congresses. --- Congresses --- Congrès