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Function algebras --- Mathematics --- Philosophy --- Bishop, Errett, --- -Algebras, Function --- Analytic functions --- Banach algebras --- Math --- Science --- Bishop, Errett --- -Philosophy --- Algebras, Function --- Logic of mathematics --- Mathematics, Logic of --- Mathematics - Philosophy --- Bishop, Errett, - 1928-1983

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Analytical spaces --- Function algebras --- Banach algebras --- Algèbres de fonctions --- Banach, Algèbres de --- 517.98 --- Algebras, Function --- Analytic functions --- Algebras, Banach --- Banach rings --- Metric rings --- Normed rings --- Banach spaces --- Topological algebras --- Functional analysis and operator theory --- Banach algebras. --- Function algebras. --- 517.98 Functional analysis and operator theory --- Algèbres de fonctions --- Banach, Algèbres de --- Fonctions de plusieurs variables complexes

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Functions which are defined on finite sets occur in almost all fields of mathematics. For more than 80 years algebras whose universes are such functions (so-called function algebras), have been intensively studied. This book gives a broad introduction to the theory of function algebras and leads to the cutting edge of research. To familiarize the reader from the very beginning on with the algebraic side of function algebras the more general concepts of the Universal Algebra is given in the first part of the book. The second part on function algebras covers the following topics: Galois-connection between function algebras and relation algebras, completeness criterions, clone theory. This book is an insdispensible source on function algebras for graduate students and researchers in mathematical logic and theoretical computer science.

Mathematics. --- Arithmetic and logic units, Computer. --- Algebra. --- Mathematical logic. --- Mathematical Logic and Foundations. --- Arithmetic and Logic Structures. --- Algebra of logic --- Logic, Universal --- Mathematical logic --- Symbolic and mathematical logic --- Symbolic logic --- Mathematics --- Algebra, Abstract --- Metamathematics --- Set theory --- Syllogism --- Mathematical analysis --- Arithmetic and logic units, Computer --- Computer arithmetic --- Electronic digital computers --- Math --- Science --- Circuits --- Function algebras. --- Many-valued logic. --- Clones (Algebra) --- Clone theory (Algebra) --- Algebra --- Logic, Many-valued --- Logic, Multivalued --- Logic, Variable-valued --- Multivalued logic --- Variable-valued logic --- Nonclassical mathematical logic --- Values --- Algebras, Function --- Analytic functions --- Banach algebras --- Logic, Symbolic and mathematical. --- Computer science. --- Informatics