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Beschreibung
This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.
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.
Details
Erscheinungsjahr: | 1995 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521466295 |
ISBN-10: | 0521466296 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Bhattacharya, P. B.
Nagpaul, S. R. Jain, Surrender Kumar |
Auflage: | 2. Auflage |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 229 x 152 x 30 mm |
Von/Mit: | P. B. Bhattacharya (u. a.) |
Erscheinungsdatum: | 19.01.1995 |
Gewicht: | 0,817 kg |
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.
Details
Erscheinungsjahr: | 1995 |
---|---|
Fachbereich: | Arithmetik & Algebra |
Genre: | Importe, Mathematik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
ISBN-13: | 9780521466295 |
ISBN-10: | 0521466296 |
Sprache: | Englisch |
Einband: | Kartoniert / Broschiert |
Autor: |
Bhattacharya, P. B.
Nagpaul, S. R. Jain, Surrender Kumar |
Auflage: | 2. Auflage |
Hersteller: | Cambridge University Press |
Verantwortliche Person für die EU: | Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de |
Maße: | 229 x 152 x 30 mm |
Von/Mit: | P. B. Bhattacharya (u. a.) |
Erscheinungsdatum: | 19.01.1995 |
Gewicht: | 0,817 kg |
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