Abstract algebra : An integrated approach / Joseph H. Silverman

By:

Silverman, Joseph H

Material type: Text

TextLanguage: English Publication details: Rhode Island : American Mathematical Society, 2022.Description: xvii, 567 p.: ill.; 25 CMISBN:

9781470468606

Subject(s):

DDC classification:

23 512.02 SIL

Contents:

A potpourri of preliminary topics Groups: part 1 Rings: part 1 Vector spaces: part 1 Fields: part 1 Groups: part 2 Rings: part 2 Fields: part 2 Galois theory: fields+groups Vector spaces: part 2 Modules: part 1: rings+vector-like spaces Groups: part 3 Modules: part 2: multilinear algebra

Summary: 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 result

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Collection	Call number	Status	Notes	Date due	Barcode
Project book	CUTN Central Library Sciences	Non-fiction	512.02 SIL (Browse shelf(Opens below))	Checked out to Renuka Devi V (20019T)	Project Books	31/01/2024	48894

Browsing CUTN Central Library shelves, Shelving location: Sciences, Collection: Non-fiction Close shelf browser (Hides shelf browser)

Previous								Next
Previous	512.02 BEE Abstract Algebra: Theory and Applications /	512.02 EIE A Course on Abstract Algebra /	512.02 GAL Contemporary Abstract Algebra /	512.02 SIL Abstract algebra : An integrated approach /	512.2 ADE Group representations : Cohomology, group actions, and topology /	512.2 KHA Group Theory /	512.2 MIL Theory and applications of finite groups /	Next

A potpourri of preliminary topics
Groups: part 1
Rings: part 1
Vector spaces: part 1
Fields: part 1
Groups: part 2
Rings: part 2
Fields: part 2
Galois theory: fields+groups
Vector spaces: part 2
Modules: part 1: rings+vector-like spaces
Groups: part 3
Modules: part 2: multilinear algebra

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 result

There are no comments on this title.

to post a comment.