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Author : Sergiu Rudeanu
Publisher : Unknown
Page : 253 pages
File Size : 49,8 Mb
Release : 2012
Category : Ordered sets
ISBN : 1608054993
Author : Sergiu Rudeanu
Publisher : Bentham Science Publishers
Page : 260 pages
File Size : 45,8 Mb
Release : 2012
Category : Mathematics
ISBN : 9781608053384
This e-book presents several basic methods and results of order theory that are currently used in various branches of mathematics. It presents topics that require a broad explanation in a concise and attractive way. Readers will easily identify problems/t
Author : Richard P. Stanley
Publisher : American Mathematical Soc.
Page : 114 pages
File Size : 45,6 Mb
Release : 1972
Category : Combinatorial analysis
ISBN : 9780821818190
Author : Bernd Schröder
Publisher : Springer Science & Business Media
Page : 401 pages
File Size : 50,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461200536
An introduction to the basic tools of the theory of (partially) ordered sets such as visualization via diagrams, subsets, homomorphisms, important order-theoretical constructions and classes of ordered sets. Using a thematic approach, the author presents open or recently solved problems to motivate the development of constructions and investigations for new classes of ordered sets. The text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory course.
Author : B. A. Davey,H. A. Priestley
Publisher : Cambridge University Press
Page : 316 pages
File Size : 51,9 Mb
Release : 2002-04-18
Category : Mathematics
ISBN : 0521784514
This new edition of Introduction to Lattices and Order presents a radical reorganization and updating, though its primary aim is unchanged. The explosive development of theoretical computer science in recent years has, in particular, influenced the book's evolution: a fresh treatment of fixpoints testifies to this and Galois connections now feature prominently. An early presentation of concept analysis gives both a concrete foundation for the subsequent theory of complete lattices and a glimpse of a methodology for data analysis that is of commercial value in social science. Classroom experience has led to numerous pedagogical improvements and many new exercises have been added. As before, exposure to elementary abstract algebra and the notation of set theory are the only prerequisites, making the book suitable for advanced undergraduates and beginning graduate students. It will also be a valuable resource for anyone who meets ordered structures.
Author : Francisco Miraglia
Publisher : Polimetrica s.a.s.
Page : 517 pages
File Size : 54,9 Mb
Release : 2006
Category : Mathematics
ISBN : 9788876990359
Author : T.S. Blyth
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 51,8 Mb
Release : 2005-04-18
Category : Mathematics
ISBN : 9781852339050
"The text can serve as an introduction to fundamentals in the respective areas from a residuated-maps perspective and with an eye on coordinatization. The historical notes that are interspersed are also worth mentioning....The exposition is thorough and all proofs that the reviewer checked were highly polished....Overall, the book is a well-done introduction from a distinct point of view and with exposure to the author’s research expertise." --MATHEMATICAL REVIEWS
Author : Gianni Bosi,María J. Campión,Juan C. Candeal,Esteban Indurain
Publisher : Springer Nature
Page : 376 pages
File Size : 53,9 Mb
Release : 2020-01-23
Category : Technology & Engineering
ISBN : 9783030342265
This book offers an essential review of central theories, current research and applications in the field of numerical representations of ordered structures. It is intended as a tribute to Professor Ghanshyam B. Mehta, one of the leading specialists on the numerical representability of ordered structures, and covers related applications to utility theory, mathematical economics, social choice theory and decision-making. Taken together, the carefully selected contributions provide readers with an authoritative review of this research field, as well as the knowledge they need to apply the theories and methods in their own work.
Author : Daniel J. Greenhoe
Publisher : Unknown
Page : 128 pages
File Size : 51,6 Mb
Release : 2011-12-14
Category : Electronic
ISBN : 0983801118
Author : Marcel de Jeu,Ben de Pagter,Onno van Gaans,Mark Veraar
Publisher : Birkhäuser
Page : 507 pages
File Size : 47,5 Mb
Release : 2016-09-22
Category : Mathematics
ISBN : 9783319278421
This book presents the proceedings of Positivity VII, held from 22-26 July 2013, in Leiden, the Netherlands. Positivity is the mathematical field concerned with ordered structures and their applications in the broadest sense of the word. A biyearly series of conferences is devoted to presenting the latest developments in this lively and growing discipline. The lectures at the conference covered a broad spectrum of topics, ranging from order-theoretic approaches to stochastic processes, positive solutions of evolution equations and positive operators on vector lattices, to order structures in the context of algebras of operators on Hilbert spaces. The contributions in the book reflect this variety and appeal to university researchers in functional analysis, operator theory, measure and integration theory and operator algebras. Positivity VII was also the Zaanen Centennial Conference to mark the 100th birth year of Adriaan Cornelis Zaanen, who held the chair of Analysis in Leiden for more than 25 years and was one of the leaders in the field during his lifetime.
Author : Charles N. Delzell,James J. Madden
Publisher : American Mathematical Soc.
Page : 320 pages
File Size : 42,9 Mb
Release : 2000
Category : Geometry, Algebraic
ISBN : 9780821808047
This volume contains 16 carefully refereed articles by participants in the Special Semester and the AMS Special Session on Real Algebraic Geometry and Ordered Structures held at Louisiana State University and Southern University (Baton Rouge). The 23 contributors to this volume were among the 75 mathematicians from 15 countries who participated in the special semester. Topics include the topology of real algebraic curves (Hilbert's 16th problem), moduli of real algebraic curves, effective sums of squares of real forms (Hilbert's 17th problem), efficient real quantifier elimination, subanalytic sets and stratifications, semialgebraic singularity theory, radial vector fields, exponential functions and valuations on nonarchimedean ordered fields, valued field extensions, partially ordered and lattice-ordered rings, rings of continuous functions, spectra of rings, and abstract spaces of (higher-level) orderings and real places. This volume provides a good overview of the state of the art in this area in the 1990s. It includes both expository and original research papers by top workers in this thriving field. The authors and editors strived to make the volume useful to a wide audience (including students and researchers) interested in real algebraic geometry and ordered structures-two subjects that are obviously related, but seldom brought together.
Author : Harold R. Bennett,David John Lutzer
Publisher : Unknown
Page : 140 pages
File Size : 49,5 Mb
Release : 1981
Category : Linear topological spaces, Ordered
ISBN : UCAL:B2825257
Author : Kar Ping Shum,Pong Chi Yuen
Publisher : World Scientific
Page : 370 pages
File Size : 44,5 Mb
Release : 1993-04-16
Category : Electronic
ISBN : 9789814553636
Author : W. Charles Holland
Publisher : CRC Press
Page : 214 pages
File Size : 50,6 Mb
Release : 2001-04-01
Category : Mathematics
ISBN : 9056993259
This book is an outcome of the conference on ordered algebraic structures held at Nanjing. It covers a range of topics: lattice theory, ordered semi groups, partially ordered groups, totally ordered groups, lattice-ordered groups, and ordered fields.
Author : Herbert B. Enderton
Publisher : Academic Press
Page : 279 pages
File Size : 40,5 Mb
Release : 1977-05-23
Category : Mathematics
ISBN : 9780080570426
This is an introductory undergraduate textbook in set theory. In mathematics these days, essentially everything is a set. Some knowledge of set theory is necessary part of the background everyone needs for further study of mathematics. It is also possible to study set theory for its own interest--it is a subject with intruiging results anout simple objects. This book starts with material that nobody can do without. There is no end to what can be learned of set theory, but here is a beginning.
