Abstract Algebra: An Integrated Approach (Pure and Applied Undergraduate Texts) - Tapa blanda

Silverman, Joseph H.

 
9781470468606: Abstract Algebra: An Integrated Approach (Pure and Applied Undergraduate Texts)
Tapa blanda
ISBN 10: 1470468603 ISBN 13: 9781470468606
Editorial: American Mathematical Society, 2022

Sinopsis

This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper results are proven. The second half of the book contains material of a more advanced nature. It includes a thorough development of Galois theory, a chapter on modules, and short surveys of additional algebraic topics designed to whet the reader's appetite for further study. This book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course.

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Acerca del autor

Joseph H. Silverman, Brown University, Providence, RI

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
American Mathematical Society
Año de publicación
2022
Idioma
Inglés
ISBN 10 
1470468603
ISBN 13 
9781470468606
Encuadernación
Tapa blanda
Número de páginas
567
Contacto del fabricante
no disponible
Persona responsable
no disponible