Advanced Modern Algebra, Parts 1 and 2 (Graduate Studies in Mathematics) - Softcover

Rotman, Joseph J.

Softcover

ISBN 10: 1470481022 ISBN 13: 9781470481025

Verlag: American Mathematical Society, 2017

Inhaltsangabe

This new edition, now in two parts, has been significantly reorganized and many sections have been rewritten. The first part, designed for a first year of graduate algebra, consists of two courses: Galois theory and Module theory. Topics covered in the first course are classical formulas for solutions of cubic and quartic equations, classical number theory, commutative algebra, groups, and Galois theory. Topics in the second course are Zorn's lemma, canonical forms, inner product spaces, categories and limits, tensor products, projective, injective, and flat modules, multilinear algebra, affine varieties, and Gröbner bases.

The second part presents many topics mentioned in the first part in greater depth and in more detail. The five chapters of the book are devoted to group theory, representation theory, homological algebra, categories, and commutative algebra, respectively. The book can be used as a text for a second abstract algebra graduate course, as a source of additional material to a first abstract algebra graduate course, or for self-study.

Über diesen Titel

Über die Autorin bzw. den Autor

Joseph J. Rotman, University of Illinois at Urbana-Champaign, Urbana, IL.

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2017
• Sprache: Englisch
• ISBN 10: 1470481022
• ISBN 13: 9781470481025
• Einband: Taschenbuch
• Auflage: 3
• Anzahl der Seiten: 1264
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar