Introduction to algebra

Author(s)

• Cameron, Peter Jephson

Bibliographic Information

Introduction to algebra

Peter J. Cameron

（Oxford science publications）

Oxford University Press, 1998

• : hbk
• : pbk

Note

Includes index

Description and Table of Contents

Volume

: pbk ISBN 9780198501947

Description

The book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students meet, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc are developed in detail. Later, as students gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, an outline of universal algebra, lattices and categories) and to applications such as Galois theory and coding theory. There is also a chapter outlining the construction of the number systems from scratch and proving in three different ways that transcendental numbers exist.

Table of Contents

• 1. Introduction
• 2. Rings
• 3. Groups
• 4. Vector spaces
• 5. Modules
• 6. The number systems
• 7. Further topics
• 8. Applications
• Further reading
• Index

Volume

: hbk ISBN 9780198501954

Description

This book is an undergraduate textbook on abstract algebra, beginning with the theories of rings and groups. As this is the first really abstract material students need, the pace here is gentle, and the basic concepts of subring, homomorphism, ideal, etc, are developed in detail. Later, as students gain confidence with abstractions, they are led to further developments in group and ring theory (simple groups and extensions, Noetherian rings, and outline of universal algebra, lattices and categories) and to applications, such as Galois theory and coding theory. There is also a chapter outlining the construction of the number systems from scratch and proving in three different ways that trascendental numbers exist.

Table of Contents

• 1. Introduction
• 2. Rings
• 3. Groups
• 4. Vector spaces
• 5. Modules
• 6. The number systems
• 7. Further topics
• 8. Applications
• Further reading
• Index

by "Nielsen BookData"

• NCID: BA36532388
• ISBN:
  • 0198501951
  • 0198501943
• LCCN: 98002555
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Oxford ; New York
• Pages/Volumes: x, 295 p.
• Size: 24 cm
• Classification:
  • LCC : QA162
  • DC21 : 512/.02
• Subject Headings:
  • LCSH : Algebra, Abstract
• Parent Bibliography ID:
  • BA00281843