Undergraduate Algebra

Serge Lang - Collection Undergraduate Texts in Mathematics

400 pages, parution le 31/12/2004 (3^eme édition)

Ajouter à une liste

Indisponible

Résumé

Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices which is unique in a book at this level. Throughout the book, the author strikes a balance between abstraction and concrete results, which enhance each other. Illustrative examples accompany the general theory. Numerous exercises range from the computational to the theoretical, complementing results from the main text.

For the third edition, the author has included new material on product structure for matrices (e.g. the Iwasawa and polar decompositions), as well as a description of the conjugation representation of the diagonal group. He has also added material on polynomials, culminating in Noah Snyder's proof of the Mason-Stothers polynomial abc theorem.

L'auteur - Serge Lang

Professeur à Yale University

Autres livres de Serge Lang

Algèbre

Découvrir tous les livres de Serge Lang

Sommaire

Foreword
The Integers
Groups
Rings
Polynomials
Vector Spaces and Modules
Some Linear Groups
Field Theory
Finite Fields
The Real and Complex Numbers
Sets
Appendix
Index

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Serge Lang
Collection	Undergraduate Texts in Mathematics
Parution	31/12/2004
Édition	3^eme édition
Nb. de pages	400
Format	16 x 24
Couverture	Relié
Poids	685g
Intérieur	Noir et Blanc
EAN13	9780387220253
ISBN13	978-0-387-22025-3