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Gittertheorie: Fundament - 9783034800174 - George Gratzer
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Gittertheorie: Fundament - 9783034800174 - Livres de poche

ISBN: 9783034800174

ISBN-13: 9783034800174, 978-3034800174. This book started with Lattice Theory, First Concepts, in 1971. The First Edition set out to introduce and survey lattice theory. Even a cursory re… Plus…

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Lattice Theory: Foundation - edition reliée, livre de poche

ISBN: 9783034800174

Providence RI: American Mathematical Society, 1999. 1st. Hard Cover. As New. Quarto; (ix), 302 pages. Volume 249 in the Contemporary Mathetics Series. Rebound in red cloth., American Ma… Plus…

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ISBN: 9783034800174

This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication … Plus…

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ISBN: 9783034800174

This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication … Plus…

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Lattice Theory: Foundation - Livres de poche

2011, ISBN: 3034800177

[EAN: 9783034800174], Neubuch, [PU: Springer Basel], ALGEBRA LATTICETHEORY UNIVERSALALGEBRA MATHEMATIK WAHRSCHEINLICHKEITSTHEORIE STOCHASTIK MATHEMATISCHE STATISTIK LATTICE THEORY UNIVERS… Plus…

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Lattice Theory: Foundation George Grätzer Author

This book started with Lattice Theory, First Concepts, in 1971. Then came General Lattice Theory, First Edition, in 1978, and the Second Edition twenty years later. Since the publication of the first edition in 1978, General Lattice Theory has become the authoritative introduction to lattice theory for graduate students and the standard reference for researchers. The First Edition set out to introduce and survey lattice theory. Some 12,000 papers have been published in the field since then; so Lattice Theory: Foundation focuses on introducing the field, laying the foundation for special topics and applications. Lattice Theory: Foundation, based on the previous three books, covers the fundamental concepts and results. The main topics are distributivity, congruences, constructions, modularity and semimodularity, varieties, and free products. The chapter on constructions is new, all the other chapters are revised and expanded versions from the earlier volumes. Almost 40 "diamond sections'', many written by leading specialists in these fields, provide a brief glimpse into special topics beyond the basics. "Lattice theory has come a long way... For those who appreciate lattice theory, or who are curious about its techniques and intriguing internal problems, Professor Grätzer's lucid new book provides a most valuable guide to many recent developments. Even a cursory reading should provide those few who may still believe that lattice theory is superficial or naive, with convincing evidence of its technical depth and sophistication." Bulletin of the American Mathematical Society "Grätzer's book General Lattice Theory has become the lattice theorist's bible." Mathematical Reviews

Informations détaillées sur le livre - Lattice Theory: Foundation George Grätzer Author


EAN (ISBN-13): 9783034800174
ISBN (ISBN-10): 3034800177
Version reliée
Livre de poche
Date de parution: 2011
Editeur: Springer Basel Core >1
613 Pages
Poids: 1,024 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2011-04-21T23:22:36+02:00 (Zurich)
Page de détail modifiée en dernier sur 2024-03-18T16:30:14+01:00 (Zurich)
ISBN/EAN: 9783034800174

ISBN - Autres types d'écriture:
3-0348-0017-7, 978-3-0348-0017-4
Autres types d'écriture et termes associés:
Auteur du livre: grätzer, walter wüst, hoeffe, nagel, zimbardo, gratz, gratzer, grätz, graetzer, american bible society
Titre du livre: lattice, foundation, funktioniert das, tierkunde, immanuel kant, hanan, veder kolloquium, psychologie


Données de l'éditeur

Auteur: George Grätzer
Titre: Lattice Theory: Foundation
Editeur: Birkhäuser; Springer Basel
614 Pages
Date de parution: 2011-02-07
Basel; CH
Imprimé / Fabriqué en
Poids: 1,216 kg
Langue: Anglais
90,94 € (DE)
93,49 € (AT)
100,50 CHF (CH)
POD
XXX, 614 p.

BC; Number Theory; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Zahlentheorie; Verstehen; lattice theory; universal algebra; Number Theory; EA

Preface.- Introduction.- Glossary of Notation.- I First Concepts.- 1 Two Definitions of Lattices.- 2 How to Describe Lattices.- 3 Some Basic Concepts.- 4 Terms, Identities, and Inequalities.- 5 Free Lattices.- 6 Special Elements.- II Distributive Lattices.- 1 Characterization and Representation Theorems.- 2 Terms and Freeness.- 3 Congruence Relations.- 4 Boolean Algebras.- 5 Topological Representation.- 6 Pseudocomplementation.- III Congruences.- 1 Congruence Spreading.- 2 Distributive, Standard, and Neutral Elements.- 3 Distributive, Standard, and Neutral Ideals.- 4 Structure Theorems.- IV Lattice Constructions.- 1 Adding an Element.- 2 Gluing.- 3 Chopped Lattices.- 4 Constructing Lattices with Given Congruence Lattices.- 5 Boolean Triples.- V Modular and Semimodular Lattices.- 1 Modular Lattices.- 2 Semimodular Lattices.- 3 Geometric Lattices.- 4 Partition Lattices.- 5 Complemented Modular Lattices.- VI Varieties of Lattices.- 1 Characterizations of Varieties 397.- 2 The Lattice of Varieties of Lattices.- 3 Finding Equational Bases.- 4 The Amalgamation Property.- VII Free Products.- 1 Free Products of Lattices.- 2 The Structure of Free Lattices.- 3 Reduced Free Products.- 4 Hopfian Lattices.- Afterword.- Bibliography.

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9780486471730 Lattice Theory: First Concepts and Distributive Lattices (Dover Books on Mathematics) (Gratzer, George)


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