The Congruences of a Finite Lattice : A "ProofbyPicture" Approach
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The work The Congruences of a Finite Lattice : A "ProofbyPicture" Approach represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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The Congruences of a Finite Lattice : A "ProofbyPicture" Approach
Resource Information
The work The Congruences of a Finite Lattice : A "ProofbyPicture" Approach represents a distinct intellectual or artistic creation found in Boston University Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 The Congruences of a Finite Lattice : A "ProofbyPicture" Approach
 Title remainder
 A "ProofbyPicture" Approach
 Statement of responsibility
 by George Grätzer
 Subject

 Algebra
 Number theory
 Probability Theory and Stochastic Processes
 Number Theory
 Probabilities
 Number theory
 Number Theory
 Mathematical logic
 Mathematical Logic and Foundations
 Probabilities
 Order, Lattices, Ordered Algebraic Structures
 Ordered algebraic structures
 Ordered algebraic structures
 Electronic resources
 Mathematical logic
 Mathematics
 Mathematics
 Algebra
 Language
 eng
 Summary
 This is a selfcontained 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 ProofbyPicture method. Key features: * Insightful discussion of techniques to construct "nice" finite lattices with given congruence lattices and "nice" congruencepreserving 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 onesemester 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 ProofbyPicture sections." (Cosmin Pelea, Studia Universitatis BabesBolyai Mathematica, Vol. LII (1), 2007) "The book is selfcontained, with many detailed proofs presented that can be followed stepbystep. [I]n addition to giving the full formal details of the proofs, the author chooses a somehow more pedagogical way that he calls ProofbyPicture, somehow related to the combinatorial (as opposed to algebraic) nature of many of the presented results. I believe that this book is a muchneeded 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
 Image bit depth
 0
 LC call number

 QA172172.4
 QA171.5
 Literary form
 non fiction
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