Lattices and Ordered Sets
This book is intended to be a thorough introduction to the subject of ordered sets 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 ab...
Gorde:
| Egile nagusia: | |
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| Formatua: | Livre numérique |
| Hizkuntza: | Anglais |
| Argitaratua: |
New York, NY :
Springer New York
2008.
Cham : Springer Nature |
| Gaiak: | |
| Sarrera elektronikoa: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Oharra: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Lattices and ordered sets, Steven Roman, New York, Springer, 2008, 1 vol. (xiv-305 p.), 0-387-78900-6 • Lattices and Ordered Sets, Texte imprimé, 9780387570457 • Lattices and Ordered Sets, Texte imprimé, 9781441927040 |
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| 020 | |a 9780387789019 | ||
| 041 | 0 | |a eng | |
| 082 | |a 511.33 | ||
| 084 | |a 06-01. 2010 | ||
| 084 | |a 06-02. 2010 | ||
| 100 | 1 | |a Roman, Steven M., |d 19..-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Lattices and Ordered Sets |c Steven Roman. |
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2008. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Basic Theory -- Partially Ordered Sets -- Well-Ordered Sets -- Lattices -- Modular and Distributive Lattices -- Boolean Algebras -- The Representation of Distributive Lattices -- Algebraic Lattices -- Prime and Maximal Ideals; Separation Theorems -- Congruence Relations on Lattices -- Topics -- Duality for Distributive Lattices: The Priestley Topology -- Free Lattices -- Fixed-Point Theorems. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book is intended to be a thorough introduction to the subject of ordered sets 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. The book has an excellent choice of topics, including a chapter on well ordering and ordinal numbers, which is not usually found in other texts. The approach is user-friendly and the presentation is lucid. There are more than 240 carefully chosen exercises. Topic coverage includes: modular, semimodular and distributive lattices, boolean algebras, representation of distributive lattices, algebraic lattices, congruence relations on lattices, free lattices, fixed-point theorems, duality theory and more. Steven Roman is the author of many successful textbooks, including Advanced Linear Algebra, 3rd Edition (Springer 2007), Field Theory, 2nd Edition (Springer 2005), and Introduction to the Mathematics of Finance (2004). | ||
| 650 | |a Théorie des treillis | ||
| 650 | |a Ensembles ordonnés | ||
| 650 | |a Ensembles, Théorie des | ||
| 776 | 0 | |0 134563816 |t Lattices and ordered sets |f Steven Roman |c New York |n Springer |d 2008 |p 1 vol. (xiv-305 p.) |z 0-387-78900-6 | |
| 776 | 0 | |t Lattices and Ordered Sets |b Texte imprimé |z 9780387570457 | |
| 776 | 0 | |t Lattices and Ordered Sets |b Texte imprimé |z 9781441927040 | |
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