The Congruences of a Finite Lattice - 15 Angebote vergleichen

Von Händler/Antiquariat, Rhein-Team Lörrach Ivano Narducci e.K. [57451429], Lörrach, BW, Germany.
- The congruences of a lattice form the congruence lattice. In the past half-century, the study of congruence lattices has become a large and important field with a great number of interesting and deep results and many open problems. This self-contained exposition by one of the leading experts in lattice theory, George Grätzer, presents the major results on congruence lattices of finite lattices featuring the author's signature Proof-by-Picture method and its conversion to transparencies.Key features:- Includes the latest findings from a pioneering researcher in the field- Insightful discussion of techniques to construct nice finite lattices with given congruence lattices and nice congruence-preserving extensions - Contains complete proofs, an extensive bibliography and index, and nearly 80 open problems- Additional information provided by the author online at: maths.umanitoba.ca/homepages/gratzer.html/The book is appropriate for a one-semester graduate course in lattice theory, yet is also designed as a practical reference for researchers studying lattices. TOC:Table of Notation.- Picture Gallery.- Preface and Acknowledgment.- Introduction.- Part I: A Brief Introduction to Lattices.- Basic Concepts.- Special Concepts.- Congruences.- Part II: Basic Techniques.- Chopped Lattices.- Boolean Triples.- Cubic Extensions.- Part III: Representation Theorems.- The Dilworth Theorem.- Minimal Representations.- Semimodular Lattices.- Modular Lattices.- Uniform Lattices.- Part IV: Extensions.- Sectionally Complemented Lattices.- Semimodular Lattices.- Isoform Lattices.- Independence Theorems.- Magic Wands.- Part V: Two Lattices.- Sublattices.- Ideals.- Tensor Extensions.- Bibliography.- Index. 300 pp. Englisch.

Lieferung aus: Deutschland, Versandkostenfrei.
Congruences of a Finite Lattice: This is a self-contained exposition by one of the leading experts in lattice theory, George Gratzer, presenting the major results of the last 70 years on congruence lattices of finite lattices, featuring the author`s signature Proof-by-Picture method.Key features:\* Insightful discussion of techniques to construct "e nice"e finite lattices with given congruence lattices and "e nice"e congruence-preserving extensions\* Contains complete proofs, an extensive bibliography and index, and over 140 illustrations\* This new edition includes two new parts on Planar Semimodular Lattices and The Order of Principle Congruences, covering the research of the last 10 yearsThe book is appropriate for a one-semester graduate course in lattice theory, and it is a practical reference for researchers studying lattices.Reviews of the first edition:"e There exist a lot of interesting results in this area of lattice theory, and some of them are presented in this book. [This] monograph...is an exceptional work in lattice theory, like all the contributions by this author. ... The way this book is written makes it extremely interesting for the specialists in the field but also for the students in lattice theory. Moreover, the author provides a series of companion lectures which help the reader to approach the Proof-by-Picture sections."e (Cosmin Pelea, Studia Universitatis Babes-Bolyai Mathematica, Vol. LII (1), 2007)  "e The book is self-contained, with many detailed proofs presented that can be followed step-by-step. [I]n addition to giving the full formal details of the proofs, the author chooses a somehow more pedagogical way that he calls Proof-by-Picture, somehow related to the combinatorial (as opposed to algebraic) nature of many of the presented results. I believe that this book is a much-needed tool for any mathematician wishing a gentle introduction to the field of congruences representations of finite lattices, with emphasis on the more `geometric` aspects."e    -Mathematical Reviews, Englisch, Ebook.

Lieferung aus: Deutschland, Versandkostenfrei.
Sparbuchladen, [3602074].
- In the past half-century the study of lattices has become a large and important field with a great number of interesting and deep results and many open problems. One of the world's leading experts in lattice theory, George Grätzer, presents major results on the subject in a self-contained exposition featuring the author's 'Proof by Picture' method. Key features: - Discussion of the techniques used to construct 'nice' lattices and 'nice' congruence-preserving extensions - Use the of author's signature 'Proof by Picture' method - Appendix featuring complete proofs - Good bibliography and index The book is appropriate for a one-semester graduate course, and will also be of interest to researchers studying lattices. -, Taschenbuch.

Lieferung aus: Deutschland, Lagernd.
This is a self-contained exposition by one of the leading experts in lattice theory, George Grätzer, presenting the major results of the last 70 years on congruence lattices of finite lattices, featuring the author's signature Proof-by-Picture method. Key features: * Insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruence-preserving extensions * Contains complete proofs, an extensive bibliography and index, and over 140 illustrations * This new edition includes two new parts on Planar Semimodular Lattices and The Order of Principle Congruences, covering the research of the last 10 years The book is appropriate for a one-semester graduate course in lattice theory, and it is a practical reference for researchers studying lattices. Reviews of the first edition: "There exist a lot of interesting results in this area of lattice theory, and some of them are presented in this book. [This] monograph…is an exceptional work in lattice theory, like all the contributions by this author. … The way this book is written makes it extremely interesting for the specialists in the field but also for the students in lattice theory. Moreover, the author provides a series of companion lectures which help the reader to approach the Proof-by-Picture sections." (Cosmin Pelea, Studia Universitatis Babes-Bolyai Mathematica, Vol. LII (1), 2007) "The book is self-contained, with many detailed proofs presented that can be followed step-by-step. [I]n addition to giving the full formal details of the proofs, the author chooses a somehow more pedagogical way that he calls Proof-by-Picture, somehow related to the combinatorial (as opposed to algebraic) nature of many of the presented results. I believe that this book is a much-needed tool for any mathematician wishing a gentle introduction to the field of congruences representations of finite lattices, with emphasis on the more 'geometric' aspects." —Mathematical Reviews, eBook.

Lieferung aus: Deutschland, E-Book zum Download, Versandkostenfrei.
This is a self-contained exposition by one of the leading experts in lattice theory, George Grätzer, presenting the major results of the last 70 years on congruence lattices of finite lattices, featuring the author's signature Proof-by-Picture method.Key features:* Insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruence-preserving extensions* Contains complete proofs, an extensive bibliography and index, and over 140 illustrations* This new edition includes two new parts on Planar Semimodular Lattices and The Order of Principle Congruences, covering the research of the last 10 yearsThe book is appropriate for a one-semester graduate course in lattice theory, and it is a practical reference for researchers studying lattices.Reviews of the first edition:"There exist a lot of interesting results in this area of lattice theory, and some of them are presented in this book. [This] monograph…is an exceptional work in lattice theory, like all the contributions by this author. … The way this book is written makes it extremely interesting for the specialists in the field but also for the students in lattice theory. Moreover, the author provides a series of companion lectures which help the reader to approach the Proof-by-Picture sections." (Cosmin Pelea, Studia Universitatis Babes-Bolyai Mathematica, Vol. LII (1), 2007)  "The book is self-contained, with many detailed proofs presented that can be followed step-by-step. [I]n addition to giving the full formal details of the proofs, the author chooses a somehow more pedagogical way that he calls Proof-by-Picture, somehow related to the combinatorial (as opposed to algebraic) nature of many of the presented results. I believe that this book is a much-needed tool for any mathematician wishing a gentle introduction to the field of congruences representations of finite lattices, with emphasis on the more 'geometric' aspects."   —Mathematical Reviews, Kindle Edition, Ausgabe: 2, Format: Kindle eBook, Label: Birkhäuser, Birkhäuser, Produktgruppe: eBooks, Publiziert: 2016-07-31, Freigegeben: 2016-07-31, Studio: Birkhäuser.

Von Händler/Antiquariat, Antiquariat im Hufelandhaus GmbH [2726420], Berlin, Germany.
XXII, 281 p. Hardcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Sprache: Englisch. Books.

Lieferung aus: Vereinigtes Königreich Großbritannien und Nordirland, Versandkostenfrei.
The Congruences of a Finite Lattice ab 60.99 EURO A Proof-by-Picture Approach.

Lieferung aus: Vereinigte Staaten von Amerika, Versandkostenfrei.
Von Händler/Antiquariat, Book Deals [60506629], Lewiston, NY, U.S.A.
This Book is in Good Condition. Clean Copy With Light Amount of Wear. 100% Guaranteed. Summary: * Table of Notation* Picture Gallery* Preface and Acknowledgment* Introduction Part I: A Brief Introduction to Lattices* Basic Concepts* Special Concepts* Congruences Part II: Basic Techniques* Chopped Lattices* Boolean Triples* Cubic Extensions Part III: Representation Theorems* The Dilworth Theorem* Minimal Representations* Semimodular Lattices* Modular Lattices* Uniform Lattices Part IV: Extensions* Sectionally Complemented Lattices* Semimodular Lattices* Isoform Lattices* Independence Theorems* Magic Wands Part V: Two Lattices* Sublattices* Ideals* Tensor Extensions* Bibliography* Index.