Algebra: Notes from the Underground (Cambridge Mathematical Textbooks) - Tapa blanda

Libro 18 de 23: Cambridge Mathematical Textbooks

Aluffi, Paolo

 
9781108958233: Algebra: Notes from the Underground (Cambridge Mathematical Textbooks)
Tapa blanda
ISBN 10: 1108958230 ISBN 13: 9781108958233
Editorial: Cambridge University Press, 2021

Sinopsis

From rings to modules to groups to fields, this undergraduate introduction to abstract algebra follows an unconventional path. The text emphasizes a modern perspective on the subject, with gentle mentions of the unifying categorical principles underlying the various constructions and the role of universal properties. A key feature is the treatment of modules, including a proof of the classification theorem for finitely generated modules over Euclidean domains. Noetherian modules and some of the language of exact complexes are introduced. In addition, standard topics - such as the Chinese Remainder Theorem, the Gauss Lemma, the Sylow Theorems, simplicity of alternating groups, standard results on field extensions, and the Fundamental Theorem of Galois Theory - are all treated in detail. Students will appreciate the text's conversational style, 400+ exercises, an appendix with complete solutions to around 150 of the main text problems, and an appendix with general background on basic logic and naïve set theory.

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Acerca del 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).

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Editorial
Cambridge University Press
Año de publicación
2021
Idioma
Inglés
ISBN 10 
1108958230
ISBN 13 
9781108958233
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
488
Contacto del fabricante
no disponible
Persona responsable
gpsr@libri.de
gpsr@libri.de

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