Field Theory

Author:   Steven Roman
Publisher:   Springer-Verlag New York Inc.
Edition:   Second Edition 2006
Volume:   158
ISBN:  

9781441920959


Pages:   335
Publication Date:   17 September 2011
Format:   Paperback
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

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Field Theory


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Full Product Details

Author:   Steven Roman
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Second Edition 2006
Volume:   158
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   0.534kg
ISBN:  

9781441920959


ISBN 10:   1441920951
Pages:   335
Publication Date:   17 September 2011
Audience:   College/higher education ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Preliminaries.- Preliminaries.- Field Extensions.- Polynomials.- Field Extensions.- Embeddings and Separability.- Algebraic Independence.- Galois Theory.- Galois Theory I: An Historical Perspective.- Galois Theory II: The Theory.- Galois Theory III: The Galois Group of a Polynomial.- A Field Extension as a Vector Space.- Finite Fields I: Basic Properties.- Finite Fields II: Additional Properties.- The Roots of Unity.- Cyclic Extensions.- Solvable Extensions.- The Theory of Binomials.- Binomials.- Families of Binomials.

Reviews

From the reviews of the second edition: Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there. ... Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all, I recommend this book highly as it is a well-written expository account of a very exciting area in mathematics. (Darren Glass, The MAA Mathematical Sciences Digital Library, February, 2006) The second edition of Roman's Field Theory ... offers a graduate course on Galois theory. ... The author's approach is mainly standard ... . the merits of such an approach would have been helpful for readers who already know some Galois theory, or for instructors who have to pick a textbook. ... The clarity of exposition and lots of exercises make this a suitable textbook for a graduate course on Galois theory. (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1172, 2009)


From the reviews of the second edition: Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there. ! Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all, I recommend this book highly as it is a well-written expository account of a very exciting area in mathematics. (Darren Glass, The MAA Mathematical Sciences Digital Library, February, 2006)


From the reviews of the second edition: Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there. ... Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all, I recommend this book highly as it is a well-written expository account of a very exciting area in mathematics. (Darren Glass, The MAA Mathematical Sciences Digital Library, February, 2006) The second edition of Roman's Field Theory ... offers a graduate course on Galois theory. ... The author's approach is mainly standard ... . the merits of such an approach would have been helpful for readers who already know some Galois theory, or for instructors who have to pick a textbook. ... The clarity of exposition and lots of exercises make this a suitable textbook for a graduate course on Galois theory. (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1172, 2009)


From the reviews of the second edition: Springer has just released the second edition of Steven Roman's Field Theory, and it continues to be one of the best graduate-level introductions to the subject out there. ! Every section of the book has a number of good exercises that would make this book excellent to use either as a textbook or to learn the material on your own. All in all, I recommend this book highly as it is a well-written expository account of a very exciting area in mathematics. (Darren Glass, The MAA Mathematical Sciences Digital Library, February, 2006) The second edition of Roman's Field Theory ! offers a graduate course on Galois theory. ! The author's approach is mainly standard ! . the merits of such an approach would have been helpful for readers who already know some Galois theory, or for instructors who have to pick a textbook. ! The clarity of exposition and lots of exercises make this a suitable textbook for a graduate course on Galois theory. (Franz Lemmermeyer, Zentralblatt MATH, Vol. 1172, 2009)


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