Field extensions and Galois theory

Author(s)

• Bastida, Julio R.

Bibliographic Information

Field extensions and Galois theory

Julio R. Bastida ; with a foreword by Roger Lyndon

（Encyclopedia of mathematics and its applications / edited by G.-C. Rota, v. 22 . Section, Algebra）

Addison-Wesley, Advanced Book Program , Cambridge University Press, 1984

• : us
• : uk

Note

Bibliography: p. 281-290

Includes index

Description and Table of Contents

Description

Originally published in 1984, the principal objective of this book is to make the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces. Galois theory is generally regarded as one of the central and most beautiful parts of algebra and its creation marked the culmination of investigations by generations of mathematicians on one of the oldest problems in algebra, the solvability of polynomial equations by radicals.

Table of Contents

• Editor's statement
• Section editor's foreword
• Preface
• Historical introduction
• Prerequisites
• Notation
• 1. Preliminaries on fields and polynomials
• 2. Algebraic extensions
• 3. Galois theory
• 4. Transcendental Extensions
• References and selected bibliography
• Index.

by "Nielsen BookData"

Details

• NCID: BA02995104
• ISBN:
  • 0201135213
  • 0521302420
• LCCN: 83007160
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Menlo Park, Calif.,Cambridge
• Pages/Volumes: li, 294 p.
• Size: 24 cm
• Classification:
  • LCC : QA247
  • DC19 : 512/.32
• Subject Headings:
  • LCSH : Field extensions (Mathematics)
  • LCSH : Galois theory
• Parent Bibliography ID:
  • BA00064663