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ISBN: 0262660717 9780262288460 9780262660716 026228846X 0262326450 Year: 1991 Publisher: Cambridge, Mass. : MIT Press,
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Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Benjamin C. Pierce received his doctoral degree from Carnegie Mellon University. Contents : Tutorial. Applications. Further Reading.
Computer science --- Categories (Mathematics) --- Mathematics --- Mathematics. --- Categories (Mathematics). --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Computer mathematics --- Electronic data processing --- Computer science - Mathematics --- Algebra --- COMPUTER SCIENCE/General
ISBN: 1281788562 9786611788568 0080887104 0444880011 9780444880017 Year: 1991 Publisher: Amsterdam ; New York : North-Holland,
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The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces
Functor theory. --- Interpolation spaces. --- Linear topological spaces. --- Topological linear spaces --- Topological vector spaces --- Vector topology --- Topology --- Vector spaces --- Spaces, Interpolation --- Function spaces --- Functorial representation --- Algebra, Homological --- Categories (Mathematics) --- Functional analysis --- Transformations (Mathematics) --- Espaces vectoriels topologiques. --- Foncteurs, Théorie des. --- Espaces d'interpolation.
ISBN: 0198537603 9780198537601 Year: 1991 Publisher: Oxford : Clarendon Press,
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Categories (Mathematics) --- Categorieën (Wiskunde) --- Catégories (Mathématiques) --- Topologie --- Topology --- Computer science --- Mathematics --- 515.1 --- 512.58 --- -Topology --- 681.3*F0 --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Informatics --- Science --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Functor theory --- Categories. Category theory --- Computerwetenschap--?*F0 --- Topology. --- Mathematics. --- Categories (Mathematics). --- 512.58 Categories. Category theory --- 515.1 Topology --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Computer science - Mathematics. --- Informatique --- Catégories (mathématiques) --- Computer science - Mathematics
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