Synopsis
This book brings the reader from the basic definitions to important results and applications, and introduces some of the techniques of abstract algebra.
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Review
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
Book Description
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.
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Introduction to Field Theory
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Cambridge University Press, 1982
ISBN 10: 0521286581
ISBN 13: 9780521286589
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Introduction to Field Theory
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Cambridge University Press, 1982
ISBN 10: 0521286581
ISBN 13: 9780521286589
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Introduction to Field Theory
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Cambridge University Press, Cambridge, 1982
ISBN 10: 0521286581
ISBN 13: 9780521286589
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An Introduction to Field Theory
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ISBN 10: 0521286581
ISBN 13: 9780521286589
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An Introduction to Field Theory
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Introduction to Field Theory (Volume 0)
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ISBN 10: 0521286581
ISBN 13: 9780521286589
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Introduction to Field Theory (Paperback)
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Cambridge University Press, Cambridge, 1982
ISBN 10: 0521286581
ISBN 13: 9780521286589
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Paperback. Condition: new. Paperback. 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. 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. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521286589
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An Introduction to Field Theory
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ISBN 10: 0521286581
ISBN 13: 9780521286589
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An Introduction to Field Theory (Paperback)
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ISBN 10: 0521286581
ISBN 13: 9780521286589
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Paperback. Condition: new. Paperback. 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. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521286589
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Introduction to Field Theory
Published by
Cambridge University Press, 1982
ISBN 10: 0521286581
ISBN 13: 9780521286589
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paperback. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-0521286581