Abraham Adrian Albert était l'un des principaux mathématiciens du XXe siècle. Cette monographie de 1937 écrite par lui a été saluée par le Bulletin de l'American Mathematical Society comme « un ajout bienvenu à la littérature ». En plus de fournir une excellente introduction à l'algèbre abstraite et un commentaire détaillé sur les développements récents, les caractéristiques importantes du traitement comprennent des chapitres sur les matrices et les algèbres matricielles, les champs cycliques et les évaluations. Convient aux étudiants prêts à avancer au-delà des cours d'introduction, ce livre s'avérera également intéressant pour les historiens des mathématiques.
Les chapitres d'ouverture se concentrent sur les groupes et les anneaux, les anneaux avec un élément d'unité, les matrices, la similitude des matrices carrées et les matrices symétriques et asymétriques. Les lecteurs reçoivent autant de théorie des groupes finis que nécessaire pour le traitement de la théorie de Galois. Les chapitres suivants explorent les extensions algébriques et les idées regroupées autour de la théorie des valorisations. De nombreux problèmes de complexité variable apparaissent tout au long du texte, qui se termine par un glossaire utile offrant de brèves définitions des termes fréquemment utilisés
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Paperback. Etat : new. Paperback. Abraham Adrian Albert was one of the 20th century's leading mathematicians. This 1937 monograph written by him was hailed by the Bulletin of the American Mathematical Society as "a welcome addition to the literature." Besides furnishing an excellent introduction to abstract algebra and a detailed commentary on then-recent developments, the treatment's important features include chapters on matrices and matrix algebras, cyclic fields, and valuations. Suitable for students ready to advance beyond introductory courses, this book will also prove of interest to historians of mathematics. Opening chapters focus on groups and rings, rings with a unity element, matrices, similarity of square matrices, and symmetric and skew matrices. Readers are given as much of the theory of finite groups as is necessary for the treatment of Galois theory. Subsequent chapters explore algebraic extensions and the ideas grouped around the theory of valuations. Numerous problems of varying complexity appear throughout the text, which concludes with a helpful glossary offering brief definitions of frequently used terms. AUTHOR: Abraham Adrian Albert (1905-72) was an American mathematician primarily known for his groundbreaking work on algebra. In this book, which was originally published in 1938, Albert provides a detailed exposition of 'modern abstract algebra', taking into account numerous discoveries in the field during the preceding ten years. This 1937 monograph offers both a fine introduction to abstract algebra and a detailed commentary on then-current developments. Chapters on matrices and matrix algebras, cyclic fields, and valuation functions are particularly useful. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780486823843
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Paperback. Etat : new. Paperback. Abraham Adrian Albert was one of the 20th century's leading mathematicians. This 1937 monograph written by him was hailed by the Bulletin of the American Mathematical Society as "a welcome addition to the literature." Besides furnishing an excellent introduction to abstract algebra and a detailed commentary on then-recent developments, the treatment's important features include chapters on matrices and matrix algebras, cyclic fields, and valuations. Suitable for students ready to advance beyond introductory courses, this book will also prove of interest to historians of mathematics. Opening chapters focus on groups and rings, rings with a unity element, matrices, similarity of square matrices, and symmetric and skew matrices. Readers are given as much of the theory of finite groups as is necessary for the treatment of Galois theory. Subsequent chapters explore algebraic extensions and the ideas grouped around the theory of valuations. Numerous problems of varying complexity appear throughout the text, which concludes with a helpful glossary offering brief definitions of frequently used terms. AUTHOR: Abraham Adrian Albert (1905-72) was an American mathematician primarily known for his groundbreaking work on algebra. In this book, which was originally published in 1938, Albert provides a detailed exposition of 'modern abstract algebra', taking into account numerous discoveries in the field during the preceding ten years. This 1937 monograph offers both a fine introduction to abstract algebra and a detailed commentary on then-current developments. Chapters on matrices and matrix algebras, cyclic fields, and valuation functions are particularly useful. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. N° de réf. du vendeur 9780486823843
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Paperback. Etat : new. Paperback. Abraham Adrian Albert was one of the 20th century's leading mathematicians. This 1937 monograph written by him was hailed by the Bulletin of the American Mathematical Society as "a welcome addition to the literature." Besides furnishing an excellent introduction to abstract algebra and a detailed commentary on then-recent developments, the treatment's important features include chapters on matrices and matrix algebras, cyclic fields, and valuations. Suitable for students ready to advance beyond introductory courses, this book will also prove of interest to historians of mathematics. Opening chapters focus on groups and rings, rings with a unity element, matrices, similarity of square matrices, and symmetric and skew matrices. Readers are given as much of the theory of finite groups as is necessary for the treatment of Galois theory. Subsequent chapters explore algebraic extensions and the ideas grouped around the theory of valuations. Numerous problems of varying complexity appear throughout the text, which concludes with a helpful glossary offering brief definitions of frequently used terms. AUTHOR: Abraham Adrian Albert (1905-72) was an American mathematician primarily known for his groundbreaking work on algebra. In this book, which was originally published in 1938, Albert provides a detailed exposition of 'modern abstract algebra', taking into account numerous discoveries in the field during the preceding ten years. This 1937 monograph offers both a fine introduction to abstract algebra and a detailed commentary on then-current developments. Chapters on matrices and matrix algebras, cyclic fields, and valuation functions are particularly useful. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. N° de réf. du vendeur 9780486823843
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