Galois Connections and Applications

Inbunden, Engelska, 2004

Del i serien Mathematics and Its Applications

1 183 kr

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Beskrivning

This book presents the main ideas of General Galois Theory as a generalization of Classical Galois Theory. It sketches the development of Galois connections through the last three centuries. Examples of Galois connections as powerful tools in Category Theory and Universal Algebra are given. Applications of Galois connections in Linguistic and Data Analysis are presented. The target audience are researchers in Mathematics, Computer Science, Mathematical Linguistic and students on the graduate level. This is the only book describing the use of Galois connections in a wide field of branches of Mathematics and outside of Mathematics 'Skeletal metastases are both a common and devastating consequence of a spectrum of cancers. Significant advances have occurred in our understanding of the pathobiology of this process. This text provides a comprehensive review of current investigative findings and their clinical implications.' Steven T. Rosen, M.D. Series Editor

Produktinformation

Utgivningsdatum:2004-03-31
Mått:155 x 235 x 26 mm
Vikt:1 048 g
Format:Inbunden
Språk:Engelska
Serie:Mathematics and Its Applications
Antal sidor:502
Upplaga:2004
Förlag:Springer-Verlag New York Inc.
ISBN:9781402018978

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Recensioner i media

From the reviews: "The book under review is the first one fully dedicated to Galois connections and adjunctions. ... I recommend this valuable collection to everybody involved in algebraic research and/or teaching algebra in higher education." (Bela Csakany, Acta Scientiarum Mathematicarum, Vol. 71, 2005)

Innehållsförteckning

Adjunctions and Galois Connections: Origins, History and Development.- Categorical Galois Theory: Revision and Some Recent Developments.- The Polarity between Approximation and Distribution.- Galois Connections and Complete Sublattices.- Galois Connections for Operations and Relations.- Galois Connections and Polynomial Completeness.- Q-Independence and Weak Automorphisms.- A Survey of Clones Closed Under Conjugation.- Galois Connections for Partial Algebras.- Complexity of Terms and the Galois Connection Id-Mod.- Iterated Galois Connections in Arithmetic and Linguistics.- Deductive Systems and Galois Connections.- A Galois Correspondence for Digital Topology.- Galois Connections in Category Theory, Topology and Logic.- Dyadic Mathematics — Abstractions from Logical Thought.