HUDU

Basic Abstract Algebra


€ 81,49
 
kartoniert
Lieferbar innert 2 Wochen
Januar 1995

Beschreibung

Beschreibung

This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.


Inhaltsverzeichnis

Preface to the second edition; Preface to the first edition; Glossary of symbols; Part I. Preliminaries: 1. Sets and mappings; 2. Integers, real numbers, and complex numbers; 3. Matrices and determinants; Part II. Groups: 4. Groups; 5. Normal subgroups; 6. Normal series; 7. Permutation groups; 8. Structure theorems of groups; Part III. Rings and Modules: 9. Rings; 10. Ideals and homomorphisms; 11. Unique factorization domains and euclidean domains; 12. Rings of fractions; 13. Integers; 14. Modules and vector spaces; Part IV. Field Theory: 15. Algebraic extensions of fields; 16. Normal and separable extensions; 17. Galois theory; 18. Applications of Galios theory to classical problems; Part V. Additional Topics: 19. Noetherian and Artinian modules and rings; 20. Smith normal form over a PID and rank; 21. Finitely generated modules over a PID; 22. Tensor products; Solutions to odd-numbered problems; Selected bibliography; Index.

Pressestimmen

"...a thorough and surprisingly clean-cut survey of the group/ring/field troika which manages to convey the idea of algebra as a unified enterprise." Ian Stewart, New Scientist
EAN: 9780521466295
ISBN: 0521466296
Untertitel: Sprache: Englisch.
Verlag: CAMBRIDGE UNIV PR
Erscheinungsdatum: Januar 1995
Seitenanzahl: 507 Seiten
Format: kartoniert
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