Introduction to algebra

著者

• Cameron, Peter Jephson

書誌事項

Introduction to algebra

Peter J. Cameron

（Oxford science publications）

Oxford University Press, 1998

• : hbk
• : pbk

注記

Includes index

内容説明・目次

巻冊次

: pbk ISBN 9780198501947

内容説明

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.

目次

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

巻冊次

: hbk ISBN 9780198501954

内容説明

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.

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA36532388
• ISBN:
  • 0198501951
  • 0198501943
• LCCN: 98002555
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Oxford ; New York
• ページ数/冊数: x, 295 p.
• 大きさ: 24 cm
• 分類:
  • LCC : QA162
  • DC21 : 512/.02
• 件名:
  • LCSH : Algebra, Abstract
• 親書誌ID:
  • BA00281843