Artículos relacionados a Abstract Algebra: An Introductory Course (Springer...

Abstract Algebra: An Introductory Course (Springer Undergraduate Mathematics Series) - Tapa blanda

Libro 66 de 90: Springer Undergraduate Mathematics

Lee, Gregory T.

 
9783319776484: Abstract Algebra: An Introductory Course (Springer Undergraduate Mathematics Series)
Tapa blanda
ISBN 10: 3319776487 ISBN 13: 9783319776484
Editorial: Springer, 2018

Sinopsis

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. 

The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions.

Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.

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

Acerca del autor

Gregory T. Lee is a professor at Lakehead University specializing in group rings, a branch of abstract algebra. He has published numerous papers on the subject, as well as a monograph with Springer.

De la contraportada

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. 

The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions.

Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.

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

Editorial
Springer
Año de publicación
2018
Idioma
Inglés
ISBN 10 
3319776487
ISBN 13 
9783319776484
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
316
Contacto del fabricante
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Alemania