Nonfiction Galois Connections and Fixed Point Calculus

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Recursion is a very powerful problem-solving technique that is used widely in computing science. It is used, for example, in the definition of programming languages, as a fundamental programming structure in functional and logic programming, and in the definition of data structures. A complete understanding of recursion can only be achieved by studying its algebraic properties. This tutorial covers fixed point calculus, which is about the solution of recursive equations defined by a monotonic endofunction on a partially ordered set. It presents the basic theory of fixed point calculus together with a number of applications of direct relevance to the construction of computer programs. The tutorial also presents the theory and application of Galois connections between partially ordered sets. In particular, the intimate relation between Galois connections and fixed point equations is amply demonstrated.

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	Science/Engineering Handbook of Topological Fixed Point Theory R. F. Brown, M. Furi, L. Górniewicz, B. Jiang, "Handbook of Topological Fixed Point Theory"Publisher: Springer \| Pages: 971 \| ISBN: 1402032218 \| PDF \| 23 MBThis book will be especially useful for post-graduate students and researchers inte ...
	Study Fixed Point Theory and Applications (Cambridge Tracts in Mathematics) Ravi P. Agarwal, Maria Meehan, Donal O'Regan "Fixed Point Theory and Applications (Cambridge Tracts in Mathematics)"Cambridge University Press \| 2001-04-09 \| ISBN: 0521802504 \| 180 pages \| PDF \| 2,3 MBThis clear exposition of the flourishin ...
	Science/Engineering Fixed Point Theory for Lipschitzian-type Mappings with Applications Fixed Point Theory for Lipschitzian-type Mappings with Applications Springer \| ISBN: 0387758178 \| 2009-05-27 \| PDF \| 366 pages \| 3 Mb In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important ...
	Science/Engineering Fixed Point Theory for Lipschitzian-type Mappings with Applications (repost) Ravi P. Agarwal, Donal O'Regan, D.R. Sahu, "Fixed Point Theory for Lipschitzian-type Mappings with Applications" Springer \| 2009 \| ISBN: 0387758178 \| 366 pages \| PDF \| 2,9 MB In recent years, the fixed point theory of Lipschitzian-type ...
	Fixed Point Theory Fixed Point TheoryPublisher: Springer \| ISBN: 0387001735 \| edition 2003 \| DJVU \| 552 pages \| 17,6 mbThis monograph gives a carefully worked out account of the most basic principles and applications of the theory of fixed points. Until n ...
	Mathematics James Dugundji: Fixed Point Theory James Dugundji: Fixed Point TheoryPages:552 \| DJVU searchable text \| Springer; 1 edition (June 26, 2003) \| ISBN: 0387001735 \| 6 MB "Granas-Dugundji's book is an encyclopedic survey of the classical fixed point theory of continuous maps (t ...

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	Science/Engineering Handbook of Topological Fixed Point Theory R. F. Brown, M. Furi, L. Górniewicz, B. Jiang, "Handbook of Topological Fixed Point Theory"Publisher: Springer \| Pages: 971 \| ISBN: 1402032218 \| PDF \| 23 MBThis book will be especially useful for post-graduate students and researchers inte ...
	Study Fixed Point Theory and Applications (Cambridge Tracts in Mathematics) Ravi P. Agarwal, Maria Meehan, Donal O'Regan "Fixed Point Theory and Applications (Cambridge Tracts in Mathematics)"Cambridge University Press \| 2001-04-09 \| ISBN: 0521802504 \| 180 pages \| PDF \| 2,3 MBThis clear exposition of the flourishin ...
	Science/Engineering Fixed Point Theory for Lipschitzian-type Mappings with Applications Fixed Point Theory for Lipschitzian-type Mappings with Applications Springer \| ISBN: 0387758178 \| 2009-05-27 \| PDF \| 366 pages \| 3 Mb In recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important ...
	Science/Engineering Fixed Point Theory for Lipschitzian-type Mappings with Applications (repost) Ravi P. Agarwal, Donal O'Regan, D.R. Sahu, "Fixed Point Theory for Lipschitzian-type Mappings with Applications" Springer \| 2009 \| ISBN: 0387758178 \| 366 pages \| PDF \| 2,9 MB In recent years, the fixed point theory of Lipschitzian-type ...
	Fixed Point Theory Fixed Point TheoryPublisher: Springer \| ISBN: 0387001735 \| edition 2003 \| DJVU \| 552 pages \| 17,6 mbThis monograph gives a carefully worked out account of the most basic principles and applications of the theory of fixed points. Until n ...
	Mathematics James Dugundji: Fixed Point Theory James Dugundji: Fixed Point TheoryPages:552 \| DJVU searchable text \| Springer; 1 edition (June 26, 2003) \| ISBN: 0387001735 \| 6 MB "Granas-Dugundji's book is an encyclopedic survey of the classical fixed point theory of continuous maps (t ...

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