Introduction to Field Theory by Iain T Adamson
Field Theory is a fascinating branch of algebra, with many interesting applications, and its central result, the Fundamental Theorem of Galois Theory, is by any standards one of the really important theorems of mathematics. This book brings the reader from the basic definitions to important results and applications, and introduces him to the spirit and some of the techniques of abstract algebra. It is addressed to undergraduates in pure mathematics and presupposes only a little knowledge of elementary group theory. Chapter I develops the elementary properties of rings and fields including the notions of characteristic, prime fields and various types of homomorphisms. In Chapter II extension fields and various ways of classifying them are studies. Chapter III gives an exposition of the Galois Theory, following Artin's approach, and Chapter IV provides a wide variety of applications of the preceding theory. For the second edition Dr Adamson has improved the exposition in places, made corrections and updated the references.
Review of the hardback: 'This is an attractive book on field theory and Galois theory…it is very clearly written, with many examples, and the exercises are good…an excellent introduction' American Mathematical Monthly
The author is retired from the University of Dundee.
| SKU | Unavailable |
| ISBN 13 | 9780521286589 |
| ISBN 10 | 0521286581 |
| Title | Introduction to Field Theory |
| Author | Iain T Adamson |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Cambridge University Press |
| Year published | 1982-09-02 |
| Number of pages | 192 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |