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Synopsis
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 inthis 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 offinite lattices, with emphasis on the more 'geometric' aspects." —Mathematical Reviews
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
George A. Grätzer is a Hungarian-Canadian mathematician, specializing in lattice theory and universal algebra. He is also known for his books on LaTeX and his proof with E. Tamás Schmidt of the Grätzer-Schmidt theorem.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurBirkhäuser
- Date d'édition2018
- ISBN 10 3319817485
- ISBN 13 9783319817484
- ReliureBroché
- Langueanglais
- Nombre de pages380
- Coordonnées du fabricantnon disponible
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The Congruences of a Finite Lattice
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Springer International Publishing, 2018
ISBN 10 : 3319817485
ISBN 13 : 9783319817484
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. New edition covers over 10 years of new results in the fieldSelf-contained exposition presents the major results on congruence lattices of finite lattices Author is a well-known pioneering researcher in the fieldFeatures the author s. N° de réf. du vendeur 448756520
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The Congruences of a Finite Lattice : A "Proof-by-Picture" Approach
ISBN 10 : 3319817485
ISBN 13 : 9783319817484
Neuf
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 inthis 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 offinite lattices, with emphasis on the more 'geometric' aspects.' -Mathematical Reviews. N° de réf. du vendeur 9783319817484
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The Congruences of a Finite Lattice
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Springer International Publishing Mai 2018, 2018
ISBN 10 : 3319817485
ISBN 13 : 9783319817484
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 380 pp. Englisch. N° de réf. du vendeur 9783319817484
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The Congruences of a Finite Lattice: A "Proof-by-Picture" Approach
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Congruences of a Finite Lattice : A Proof-by-picture Approach
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Congruences of a Finite Lattice : A Proof-by-picture Approach
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Congruences of a Finite Lattice : A Proof-by-picture Approach
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ISBN 10 : 3319817485
ISBN 13 : 9783319817484
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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The Congruences of a Finite Lattice: A "Proof-by-Picture" Approach
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