Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields - Tapa blanda

Weintraub, Steven H

 
9789811247552: Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields
Tapa blanda
ISBN 10: 9811247552 ISBN 13: 9789811247552
Editorial: WSPC, 2022

Sinopsis

This book is a textbook for a semester-long or year-long introductory course in abstract algebra at the upper undergraduate or beginning graduate level. It treats set theory, group theory, ring and ideal theory, and field theory (including Galois theory), and culminates with a treatment of Dedekind rings, including rings of algebraic integers. In addition to treating standard topics, it contains material not often dealt with in books at this level. It provides a fresh perspective on the subjects it covers, with, in particular, distinctive treatments of factorization theory in integral domains and of Galois theory. As an introduction, it presupposes no prior knowledge of abstract algebra, but provides a well-motivated, clear, and rigorous treatment of the subject, illustrated by many examples. Written with an eye toward number theory, it contains numerous applications to number theory (including proofs of Fermat's theorem on sums of two squares and of the Law of Quadratic Reciprocity) and serves as an excellent basis for further study in algebra in general and number theory in particular. Each of its chapters concludes with a variety of exercises ranging from the straightforward to the challenging in order to reinforce students' knowledge of the subject. Some of these are particular examples that illustrate the theory while others are general results that develop the theory further.

"Sinopsis" puede pertenecer a otra edición de este libro.

Editorial
WSPC
Año de publicación
2022
Idioma
Inglés
ISBN 10 
9811247552
ISBN 13 
9789811247552
Encuadernación
Tapa blanda
Número de páginas
438
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9789811246661: Introduction To Abstract Algebra, An: Sets, Groups, Rings, And Fields

Edición Destacada

ISBN 10:  9811246661 ISBN 13:  9789811246661
Editorial: WSPC, 2022
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