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Cover: 9781108958233 | Algebra | Paolo Aluffi | Taschenbuch | Paperback | Englisch | 2021
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Algebra
Taschenbuch von Paolo Aluffi
Sprache: Englisch

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Beschreibung
This conversational introduction to abstract algebra takes a modern, rings-first approach. In addition to its unconventional order of classical material, another key feature is the treatment of topics often neglected in undergraduate textbooks, such as modules. More than 400 exercises are included, 150 of which are carefully worked out.
This conversational introduction to abstract algebra takes a modern, rings-first approach. In addition to its unconventional order of classical material, another key feature is the treatment of topics often neglected in undergraduate textbooks, such as modules. More than 400 exercises are included, 150 of which are carefully worked out.
Über den Autor
Paolo Aluffi is Professor of Mathematics at Florida State University. Aluffi earned a Ph.D. from Brown University with a dissertation on the enumerative geometry of plane cubic curves, under the supervision of William Fulton. His research interests are in algebraic geometry, particularly intersection theory and its application to the theory of singularities and connections with theoretical physics. He has authored about 70 research publications and given lectures on his work in 15 countries. Beside Notes from the Underground, he has published a graduate-level textbook in algebra (Algebra: Chapter 0, AMS) and a mathematics book for the general public, in Italian (Fare matematica, Aracne Editrice).
Inhaltsverzeichnis
Part I. Rings: 1. The integers; 2. Modular arithmetic; 3. Rings; 4. The category of rings; 5. Canonical decomposition, quotients, and isomorphism theorems; 6. Integral domains; 7. Polynomial rings and factorization; Part II. Modules: 8. Modules and abelian groups; 9. Modules over integral domains; 10. Abelian groups; Part III. Groups: 11. Groups - preliminaries; 12. Basic results on finite groups; Part IV. Fields: 13. Field extensions; 14. Normal and separable extensions, and splitting fields; 15. Galois theory.
Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781108958233
ISBN-10: 1108958230
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Aluffi, Paolo
Hersteller: Cambridge University Press
Maße: 244 x 170 x 27 mm
Von/Mit: Paolo Aluffi
Erscheinungsdatum: 03.06.2021
Gewicht: 0,838 kg
Artikel-ID: 119552304
Über den Autor
Paolo Aluffi is Professor of Mathematics at Florida State University. Aluffi earned a Ph.D. from Brown University with a dissertation on the enumerative geometry of plane cubic curves, under the supervision of William Fulton. His research interests are in algebraic geometry, particularly intersection theory and its application to the theory of singularities and connections with theoretical physics. He has authored about 70 research publications and given lectures on his work in 15 countries. Beside Notes from the Underground, he has published a graduate-level textbook in algebra (Algebra: Chapter 0, AMS) and a mathematics book for the general public, in Italian (Fare matematica, Aracne Editrice).
Inhaltsverzeichnis
Part I. Rings: 1. The integers; 2. Modular arithmetic; 3. Rings; 4. The category of rings; 5. Canonical decomposition, quotients, and isomorphism theorems; 6. Integral domains; 7. Polynomial rings and factorization; Part II. Modules: 8. Modules and abelian groups; 9. Modules over integral domains; 10. Abelian groups; Part III. Groups: 11. Groups - preliminaries; 12. Basic results on finite groups; Part IV. Fields: 13. Field extensions; 14. Normal and separable extensions, and splitting fields; 15. Galois theory.
Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Kartoniert / Broschiert
ISBN-13: 9781108958233
ISBN-10: 1108958230
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Aluffi, Paolo
Hersteller: Cambridge University Press
Maße: 244 x 170 x 27 mm
Von/Mit: Paolo Aluffi
Erscheinungsdatum: 03.06.2021
Gewicht: 0,838 kg
Artikel-ID: 119552304
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