Ordered Sets

Download Ordered Sets full books in PDF, epub, and Kindle. Read online Ordered Sets ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Ordered Sets

Author : Egbert Harzheim
Publisher : Springer Science & Business Media
ISBN 13 : 0387242198
Total Pages : 391 pages
Book Rating : 4.3/5 (872 download)

DOWNLOAD NOW!

Book Synopsis Ordered Sets by : Egbert Harzheim

Download or read book Ordered Sets written by Egbert Harzheim and published by Springer Science & Business Media. This book was released on 2005-02-17 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: The textbook literature on ordered sets is still rather limited. A lot of material is presented in this book that appears now for the first time in a textbook. Order theory works with combinatorial and set-theoretical methods, depending on whether the sets under consideration are finite or infinite. In this book the set-theoretical parts prevail. The book treats in detail lexicographic products and their connections with universally ordered sets, and further it gives thorough investigations on the structure of power sets. Other topics dealt with include dimension theory of ordered sets, well-quasi-ordered sets, trees, combinatorial set theory for ordered sets, comparison of order types, and comparibility graphs. Audience This book is intended for mathematics students and for mathemeticians who are interested in set theory. Only some fundamental parts of naïve set theory are presupposed. Since all proofs are worked out in great detail, the book should be suitable as a text for a course on order theory.

Ordered Sets

Author : Bernd Schröder
Publisher : Birkhäuser
ISBN 13 : 3319297880
Total Pages : 420 pages
Book Rating : 4.3/5 (192 download)

DOWNLOAD NOW!

Book Synopsis Ordered Sets by : Bernd Schröder

Download or read book Ordered Sets written by Bernd Schröder and published by Birkhäuser. This book was released on 2016-05-11 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lattices and Ordered Sets

Author : Steven Roman
Publisher : Springer Science & Business Media
ISBN 13 : 0387789014
Total Pages : 307 pages
Book Rating : 4.3/5 (877 download)

DOWNLOAD NOW!

Book Synopsis Lattices and Ordered Sets by : Steven Roman

Download or read book Lattices and Ordered Sets written by Steven Roman and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be a thorough introduction to the subject of order and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in abstract algebra is highly recommended, since many of the examples are drawn from this area. This is a book on pure mathematics: I do not discuss the applications of lattice theory to physics, computer science or other disciplines. Lattice theory began in the early 1890s, when Richard Dedekind wanted to know the answer to the following question: Given three subgroups EF , and G of an abelian group K, what is the largest number of distinct subgroups that can be formed using these subgroups and the operations of intersection and sum (join), as in E?FßÐE?FÑ?GßE?ÐF?GÑ and so on? In lattice-theoretic terms, this is the number of elements in the relatively free modular lattice on three generators. Dedekind [15] answered this question (the answer is #)) and wrote two papers on the subject of lattice theory, but then the subject lay relatively dormant until Garrett Birkhoff, Oystein Ore and others picked it up in the 1930s. Since then, many noted mathematicians have contributed to the subject, including Garrett Birkhoff, Richard Dedekind, Israel Gelfand, George Grätzer, Aleksandr Kurosh, Anatoly Malcev, Oystein Ore, Gian-Carlo Rota, Alfred Tarski and Johnny von Neumann.

Ordered Sets

Author : Bernd Schröder
Publisher : Springer Science & Business Media
ISBN 13 : 1461200539
Total Pages : 401 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Ordered Sets by : Bernd Schröder

Download or read book Ordered Sets written by Bernd Schröder and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Abelian Groups and Representations of Finite Partially Ordered Sets

Author : David Arnold
Publisher : Springer Science & Business Media
ISBN 13 : 1441987509
Total Pages : 256 pages
Book Rating : 4.4/5 (419 download)

DOWNLOAD NOW!

Book Synopsis Abelian Groups and Representations of Finite Partially Ordered Sets by : David Arnold

Download or read book Abelian Groups and Representations of Finite Partially Ordered Sets written by David Arnold and published by Springer Science & Business Media. This book was released on 2012-11-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of this book is an exposition of connections between representations of finite partially ordered sets and abelian groups. Emphasis is placed throughout on classification, a description of the objects up to isomorphism, and computation of representation type, a measure of when classification is feasible. David M. Arnold is the Ralph and Jean Storm Professor of Mathematics at Baylor University. He is the author of "Finite Rank Torsion Free Abelian Groups and Rings" published in the Springer-Verlag Lecture Notes in Mathematics series, a co-editor for two volumes of conference proceedings, and the author of numerous articles in mathematical research journals.

Fixed Point Theory in Ordered Sets and Applications

Author : Siegfried Carl
Publisher : Springer Science & Business Media
ISBN 13 : 1441975853
Total Pages : 477 pages
Book Rating : 4.4/5 (419 download)

DOWNLOAD NOW!

Book Synopsis Fixed Point Theory in Ordered Sets and Applications by : Siegfried Carl

Download or read book Fixed Point Theory in Ordered Sets and Applications written by Siegfried Carl and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.

Ordered Sets and Lattices II

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821895887
Total Pages : 262 pages
Book Rating : 4.8/5 (958 download)

DOWNLOAD NOW!

Book Synopsis Ordered Sets and Lattices II by :

Download or read book Ordered Sets and Lattices II written by and published by American Mathematical Soc.. This book was released on with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyi Zhurnal Matematika from mid-1982 to the end of 1985. A continuation of a previous volume (the English translation of which was published by the AMS in 1989, as volume 141 in Translations - Series 2), this comprehensive work contains more than 2200 references. Many of the papers covered here were originally published in virtually inaccessible places. The compilation of the volume was directed by Milan Kolibiar of Comenius University at Bratislava and Lev A. Skornyakov of Moscow University. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.

Ordered Sets

Author : Bernd Siegfried Walter Schröder
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641283
Total Pages : 420 pages
Book Rating : 4.6/5 (412 download)

DOWNLOAD NOW!

Book Synopsis Ordered Sets by : Bernd Siegfried Walter Schröder

Download or read book Ordered Sets written by Bernd Siegfried Walter Schröder and published by Springer Science & Business Media. This book was released on 2003 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is 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. A wide range of material is presented, from classical results such as Dilworth's, Szpilrajn's and Hashimoto's Theorems to more recent results such as the Li--Milner Structure Theorem. Major topics covered include: chains and antichains, lowest upper and greatest lower bounds, retractions, lattices, the dimension of ordered sets, interval orders, lexicographic sums, products, enumeration, algorithmic approaches and the role of algebraic topology. Since there are few prerequisites, the text can be used as a focused follow-up or companion to a first proof (set theory and relations) or graph theory class. After working through a comparatively lean core, the reader can choose from a diverse range of topics such as structure theory, enumeration or algorithmic aspects. Also presented are some key topics less customary to discrete mathematics/graph theory, including a concise introduction to homology for graphs, and the presentation of forward checking as a more efficient alternative to the standard backtracking algorithm. The coverage throughout provides a solid foundation upon which research can be started by a mathematically mature reader. Rich in exercises, illustrations, and open problems, Ordered Sets: An Introduction is an excellent text for undergraduate and graduate students and a good resource for the interested researcher. Readers will discover order theory's role in discrete mathematics as a supplier of ideas as well as an attractive source of applications.

Finite Ordered Sets

Author : Nathalie Caspard
Publisher : Cambridge University Press
ISBN 13 : 1107080002
Total Pages : 351 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Finite Ordered Sets by : Nathalie Caspard

Download or read book Finite Ordered Sets written by Nathalie Caspard and published by Cambridge University Press. This book was released on 2012-01-26 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimension theory), the authors then present applications of these structures in fields such as preference modelling and aggregation, operational research and management, cluster and concept analysis, and data mining. Exercises are included at the end of each chapter with helpful hints provided for some of the most difficult examples. The authors also point to further topics of ongoing research.

Combinatorics and Partially Ordered Sets

Author : William T. Trotter
Publisher : Johns Hopkins University Press
ISBN 13 : 9780801869778
Total Pages : 0 pages
Book Rating : 4.8/5 (697 download)

DOWNLOAD NOW!

Book Synopsis Combinatorics and Partially Ordered Sets by : William T. Trotter

Download or read book Combinatorics and Partially Ordered Sets written by William T. Trotter and published by Johns Hopkins University Press. This book was released on 2002-01-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily intended for research mathematicians and computer scientists, Combinatorics and Partially Ordered Sets: Dimension Theory also serves as a useful text for advanced students in either field. William Trotter concentrates on combinatorial topics for finite partially ordered sets, and with dimension theory serving as a unifying theme, research on partially ordered sets or posets is linked to more traditional topics in combinatorial mathematics—including graph theory, Ramsey theory, probabilistic methods, hypergraphs, algorithms, and computational geometry. The book's most important contribution is to collect, organize, and explain the many theorems on partially ordered sets in a way that makes them available to the widest possible audience.

Linear Representations of Partially Ordered Sets and Vector Space Categories

Author : Daniel Simson
Publisher : CRC Press
ISBN 13 : 9782881248283
Total Pages : 516 pages
Book Rating : 4.2/5 (482 download)

DOWNLOAD NOW!

Book Synopsis Linear Representations of Partially Ordered Sets and Vector Space Categories by : Daniel Simson

Download or read book Linear Representations of Partially Ordered Sets and Vector Space Categories written by Daniel Simson and published by CRC Press. This book was released on 1993-01-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an elementary yet comprehensive introduction to representations of partially ordered sets and bimodule matrix problems, and their use in representation theory of algebras. It includes a discussion of representation types of algebras and partially ordered sets. Various characterizations of representation-finite and representation-tame partially ordered sets are offered and a description of their indecomposable representations is given. Auslander-Reiten theory is demonstrated together with a computer accessible algorithm for determining in decomposable representations and the Auslander-Reiten quiver of any representation-finite partially ordered set.

Hausdorff on Ordered Sets

Author : Felix Hausdorff
Publisher : American Mathematical Soc.
ISBN 13 : 0821837885
Total Pages : 343 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!

Book Synopsis Hausdorff on Ordered Sets by : Felix Hausdorff

Download or read book Hausdorff on Ordered Sets written by Felix Hausdorff and published by American Mathematical Soc.. This book was released on 2005 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Georg Cantor, the founder of set theory, published his last paper on sets in 1897. In 1900, David Hilbert made Cantor's Continuum Problem and the challenge of well-ordering the real numbers the first problem of his famous lecture at the international congress in Paris. Thus, as the nineteenth century came to a close and the twentieth century began, Cantor's work was finally receiving its due and Hilbert had made one of Cantor's most important conjectures his number one problem. It was time for the second generation of Cantorians to emerge. Foremost among this group were Ernst Zermelo and Felix Hausdorff. Zermelo isolated the Choice Principle, proved that every set could be well-ordered, and axiomatized the concept of set. He became the father of abstract set theory. Hausdorff eschewed foundations and developed set theory as a branch of mathematics worthy of study in its own right, capable of supporting both general topology and measure theory. He is recognized as the era's leading Cantorian. Hausdorff published seven articles in set theory during the period 1901-1909, mostly about ordered sets. This volume contains translations of these papers with accompanying introductory essays. They are highly accessible, historically significant works, important not only for set theory, but also for model theory, analysis and algebra. This book is suitable for graduate students and researchers interested in set theory and the history of mathematics. Also available from the AMS by Felix Hausdorff are the classic work, Grundzuge der Mengenlehre, and its English translation, Set Theory, as Volume 69 and Volume 119 in the AMS Chelsea Publishing series. Information for our distributors: Copublished with the London Mathematical Society. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

Finite Ordered Sets

Author : Nathalie Caspard
Publisher : Cambridge University Press
ISBN 13 : 1107013690
Total Pages : 351 pages
Book Rating : 4.1/5 (7 download)

DOWNLOAD NOW!

Book Synopsis Finite Ordered Sets by : Nathalie Caspard

Download or read book Finite Ordered Sets written by Nathalie Caspard and published by Cambridge University Press. This book was released on 2012-01-26 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive account that gives equal attention to the combinatorial, logical and applied aspects of partially ordered sets.

Problems and Theorems in Classical Set Theory

Author : Peter Komjath
Publisher : Springer Science & Business Media
ISBN 13 : 038730293X
Total Pages : 492 pages
Book Rating : 4.3/5 (873 download)

DOWNLOAD NOW!

Book Synopsis Problems and Theorems in Classical Set Theory by : Peter Komjath

Download or read book Problems and Theorems in Classical Set Theory written by Peter Komjath and published by Springer Science & Business Media. This book was released on 2006-05-02 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a variety of problems from classical set theory and represents the first comprehensive collection of such problems. Many of these problems are also related to other fields of mathematics, including algebra, combinatorics, topology and real analysis. Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. They vary in difficulty, and are organized in such a way that earlier problems help in the solution of later ones. For many of the problems, the authors also trace the history of the problems and then provide proper reference at the end of the solution.

Classic Set Theory

Author : D.C. Goldrei
Publisher : CRC Press
ISBN 13 : 9780412606106
Total Pages : 300 pages
Book Rating : 4.6/5 (61 download)

DOWNLOAD NOW!

Book Synopsis Classic Set Theory by : D.C. Goldrei

Download or read book Classic Set Theory written by D.C. Goldrei and published by CRC Press. This book was released on 1996-07-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for undergraduate students of set theory, Classic Set Theory presents a modern perspective of the classic work of Georg Cantor and Richard Dedekin and their immediate successors. This includes: The definition of the real numbers in terms of rational numbers and ultimately in terms of natural numbers Defining natural numbers in terms of sets The potential paradoxes in set theory The Zermelo-Fraenkel axioms for set theory The axiom of choice The arithmetic of ordered sets Cantor's two sorts of transfinite number - cardinals and ordinals - and the arithmetic of these. The book is designed for students studying on their own, without access to lecturers and other reading, along the lines of the internationally renowned courses produced by the Open University. There are thus a large number of exercises within the main body of the text designed to help students engage with the subject, many of which have full teaching solutions. In addition, there are a number of exercises without answers so students studying under the guidance of a tutor may be assessed. Classic Set Theory gives students sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant problems that arise from the theory.

Mathematical Foundations of Computational Engineering

Author : Peter J. Pahl
Publisher : Springer Science & Business Media
ISBN 13 : 9783540679950
Total Pages : 1114 pages
Book Rating : 4.6/5 (799 download)

DOWNLOAD NOW!

Book Synopsis Mathematical Foundations of Computational Engineering by : Peter J. Pahl

Download or read book Mathematical Foundations of Computational Engineering written by Peter J. Pahl and published by Springer Science & Business Media. This book was released on 2001-07-02 with total page 1114 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational engineering is the treatment of engineering tasks with computers. It is based on computational mathematics, which is presented here in a comprehensive handbook. Engineers and scientists who deal with engineering tasks have to handle large amounts of information, which must be created and structured in a systematic manner. This demands a high level of abstraction and therefore knowledge of the mathematical foundations. From the existing rich repertoire of mathematical theories and methods, the fundamentals of engineering computation are selected and presented in a coherent fashion. They are brought into a suitable order for specific engineering purposes, and their significance for typical applications is shown. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information and communication technology.

Set This House in Order

Author : Matt Ruff
Publisher : Springer Science & Business Media
ISBN 13 : 0061983640
Total Pages : 498 pages
Book Rating : 4.0/5 (619 download)

DOWNLOAD NOW!

Book Synopsis Set This House in Order by : Matt Ruff

Download or read book Set This House in Order written by Matt Ruff and published by Springer Science & Business Media. This book was released on 2009-10-06 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: Andy Gage was born in 1965 and murdered not long after by his stepfather. . . . It was no ordinary murder. Though the torture and abuse that killed him were real, Andy Gage's death wasn't. Only his soul actually died, and when it died, it broke in pieces. Then the pieces became souls in their own right, coinheritors of Andy Gage's life. . . . While Andy deals with the outside world, more than a hundred other souls share an imaginary house inside Andy's head, struggling to maintain an orderly coexistence: Aaron, the father figure; Adam, the mischievous teenager; Jake, the frightened little boy; Aunt Sam, the artist; Seferis, the defender; and Gideon, who wants to get rid of Andy and the others and run things on his own. Andy's new coworker, Penny Driver, is also a multiple personality, a fact that Penny is only partially aware of. When several of Penny's other souls ask Andy for help, Andy reluctantly agrees, setting in motion a chain of events that threatens to destroy the stability of the house. Now Andy and Penny must work together to uncover a terrible secret that Andy has been keeping . . . from himself.