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Eléments de mathématique : algèbre, Chapitres 1 à 3 / N. Bourbaki

Auteur principal : Bourbaki, Nicolas, AuteurType de document : MonographieLangue : français.Pays : France.Éditeur : Paris : Hermann, 1970Description : 1 vol. (pagin.mult.) ; 24 cmBibliographie : Bibliogr. Index.Sujet MSC : 00A05, General -- General and miscellaneous specific topics, General mathematics
15-02, Linear and multilinear algebra; matrix theory, Research exposition (monographs, survey articles)
En-ligne : ed. Springer
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Chapter 1 introduces general algebraic structures through their laws of composition, including magmas, monoids, groups, rings, fields, and their basic properties. Chapter 2 is devoted to linear algebra, which means here: modules, vector spaces, linear mappings, duality theory, matrices, determinants, tensor products, scalar base change, injective and projective limits, affine and projective spaces, rationality questions, and graded modules. Chapter 3 treats general algebras, examples of concrete algebras, graded algebras, tensor algebras, symmetric algebras, exterior algebras, norms and traces, derivations in algebras, coalgebras, and their geometric applications (p-vectors and Grassmannians). Now as before, there is this legendary ample supply of complementing exercises and historical notes adding up to the everlasting value of this particular volume. (Zentralblatt)

Bibliogr. Index

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