Sets and Ordered Structures
Author: Sergiu Rudeanu
Publisher:
Published: 2012
Total Pages: 253
ISBN-13: 9781608054992
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Sets and Ordered Structures
Author: Sergiu Rudeanu
Publisher: Bentham Science Publishers
Published: 2012
Total Pages: 260
ISBN-13: 1608053385
DOWNLOAD EBOOKThis 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
Ordered Structures and Partitions
Author: Richard P. Stanley
Publisher: American Mathematical Soc.
Published: 1972
Total Pages: 114
ISBN-13: 0821818198
DOWNLOAD EBOOKLattices and Ordered Algebraic Structures
Author: T.S. Blyth
Publisher: Springer Science & Business Media
Published: 2005-04-18
Total Pages: 311
ISBN-13: 1852339055
DOWNLOAD EBOOK"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
Ordered Sets
Author: Bernd Schröder
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 401
ISBN-13: 1461200539
DOWNLOAD EBOOKAn 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.
Sets and Ordered Structures: Title.pdf; 02 Cover Page; 03 REVISED eBooks End User License Agreement-Website; 04 Content; 05 Foreword; 07 Chapter 01; 08 Chapter 02; 09 Chapter 03; 10 Chapter 04; 11 Chapter 05; 12 Chapter 06; 13 Bibliography; 14 Index
Author: Sergiu Rudeanu
Publisher:
Published: 2012
Total Pages: 260
ISBN-13: 9781608053384
DOWNLOAD EBOOKThis e-book presents the fundamentals of the order relation are presented, including several properties equivalent to the axiom of choice, and culminating with well-ordered sets and transfinite numbers. It serves both as a textbook for undergraduate and graduate students and as a reference book for mathematicians working in fields different from set theory or algebra, to whom it provides a quick access to basic facts from order theory.
An Introduction to Partially Ordered Structures and Sheaves
Author: Francisco Miraglia
Publisher: Polimetrica s.a.s.
Published: 2006
Total Pages: 517
ISBN-13: 8876990356
DOWNLOAD EBOOKIntroduction to Lattices and Order
Author: B. A. Davey
Publisher: Cambridge University Press
Published: 2002-04-18
Total Pages: 316
ISBN-13: 9780521784511
DOWNLOAD EBOOKThis 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.
Mathematical Topics on Representations of Ordered Structures and Utility Theory
Author: Gianni Bosi
Publisher: Springer Nature
Published: 2020-01-23
Total Pages: 376
ISBN-13: 3030342263
DOWNLOAD EBOOKThis 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.
Ordered Structures and Applications
Author: Marcel de Jeu
Publisher: Birkhäuser
Published: 2016-09-22
Total Pages: 516
ISBN-13: 3319278428
DOWNLOAD EBOOKThis 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.
