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Field Theory (Graduate Texts in Mathematics (158)) by Steven Roman is a nonfiction available to read on EtoBox.

What is Field Theory (Graduate Texts in Mathematics (158)) about?

This book presents the basic theory of fields, starting more or less from the beginning. It is suitable for a graduate course in field theory, or independent study. The reader is expected to have taken an undergraduate course in abstract algebra, not so much for the material it contains but in order to gain a certain level of mathematical maturity.The book begins with a preliminary chapter (Chapter 0), which is designed to be quickly scanned or skipped and used as a reference if needed. The remainder of the book is divided into three parts.Part 1: Field ExtensionsPart 2: Galois TheoryPart 3: The Theory of PolynomialsAppendix: Möbius InversionFor this new edition, the author has rewritten the text based on his experiences teaching from the first edition. There are new exercises, a new chapter on Galois theory from an historical perspective, and additional topics sprinkled throughout the text, including a proof of the Fundamental Theorem of Algebra, a discussion of casus irreducibilis, Berlekamp's algorithm for factoring polynomials over Zp and natural and accessory irrationalities.From the reviews of the first edition:The book is written in a clear and explanatory style...the book i

Who reads Field Theory (Graduate Texts in Mathematics (158))?

Author

Steven Roman

Publisher

Springer, Springer-Verlag

Published

2006

Language

EN

ISBN

9781441920959

Category

nonfiction

Subjects

Mathematics, Science, Physics