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OverviewFull Product DetailsAuthor: Steven RomanPublisher: 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: 9781441920959ISBN 10: 1441920951 Pages: 335 Publication Date: 17 September 2011 Audience: College/higher education , Undergraduate Format: Paperback Publisher's Status: Active Availability: Out of stock ![]() 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 ContentsPreliminaries.- 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.ReviewsFrom 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |