Topics In Galois Theory

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Topics In Galois Theory

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Author : Jean-Pierre Serre
language : en
Publisher: CRC Press
Release Date : 2016-04-19

Topics In Galois Theory written by Jean-Pierre Serre and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Mathematics categories.

This book is based on a course given by the author at Harvard University in the fall semester of 1988. The course focused on the inverse problem of Galois Theory: the construction of field extensions having a given finite group as Galois group. In the first part of the book, classical methods and results, such as the Scholz and Reichardt constructi

Topics In Field Theory

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Author : G. Karpilovsky
language : en
Publisher: Elsevier
Release Date : 1989-02-01

Topics In Field Theory written by G. Karpilovsky and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-02-01 with Mathematics categories.

This monograph gives a systematic account of certain important topics pertaining to field theory, including the central ideas, basic results and fundamental methods. Avoiding excessive technical detail, the book is intended for the student who has completed the equivalent of a standard first-year graduate algebra course. Thus it is assumed that the reader is familiar with basic ring-theoretic and group-theoretic concepts. A chapter on algebraic preliminaries is included, as well as a fairly large bibliography of works which are either directly relevant to the text or offer supplementary material of interest.

Topics In Galois Theory

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Author : Gail GALLITANO
language : en
Publisher:
Release Date : 2019-02-08

Topics In Galois Theory written by Gail GALLITANO and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-08 with categories.

Some Topics In Galois Theory

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Author : Marion F. Tinsley
language : en
Publisher:
Release Date : 1953

Some Topics In Galois Theory written by Marion F. Tinsley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Galois theory categories.

Topics In Galois Fields

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Author : Dirk Hachenberger
language : en
Publisher: Springer Nature
Release Date : 2020-09-29

Topics In Galois Fields written by Dirk Hachenberger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-29 with Mathematics categories.

This monograph provides a self-contained presentation of the foundations of finite fields, including a detailed treatment of their algebraic closures. It also covers important advanced topics which are not yet found in textbooks: the primitive normal basis theorem, the existence of primitive elements in affine hyperplanes, and the Niederreiter method for factoring polynomials over finite fields. We give streamlined and/or clearer proofs for many fundamental results and treat some classical material in an innovative manner. In particular, we emphasize the interplay between arithmetical and structural results, and we introduce Berlekamp algebras in a novel way which provides a deeper understanding of Berlekamp's celebrated factorization algorithm. The book provides a thorough grounding in finite field theory for graduate students and researchers in mathematics. In view of its emphasis on applicable and computational aspects, it is also useful for readers working in information and communication engineering, for instance, in signal processing, coding theory, cryptography or computer science.

Topics In Galois Theory

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Author : James R. Herz
language : en
Publisher:
Release Date : 1966

Topics In Galois Theory written by James R. Herz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with categories.

Galois Theory

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Author : Steven H. Weintraub
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-20

Galois Theory written by Steven H. Weintraub and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-20 with Mathematics categories.

Galois theory is a mature mathematical subject of particular beauty. Any Galois theory book written nowadays bears a great debt to Emil Artin’s classic text "Galois Theory," and this book is no exception. While Artin’s book pioneered an approach to Galois theory that relies heavily on linear algebra, this book’s author takes the linear algebra emphasis even further. This special approach to the subject together with the clarity of its presentation, as well as the choice of topics covered, has made the first edition of this book a more than worthwhile addition to the literature on Galois Theory. The second edition, with a new chapter on transcendental extensions, will only further serve to make the book appreciated by and approachable to undergraduate and beginning graduate math majors.

Galois Theory And Advanced Linear Algebra

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Author : Rajnikant Sinha
language : en
Publisher: Springer Nature
Release Date : 2019-12-28

Galois Theory And Advanced Linear Algebra written by Rajnikant Sinha and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-28 with Mathematics categories.

This book discusses major topics in Galois theory and advanced linear algebra, including canonical forms. Divided into four chapters and presenting numerous new theorems, it serves as an easy-to-understand textbook for undergraduate students of advanced linear algebra, and helps students understand other courses, such as Riemannian geometry. The book also discusses key topics including Cayley–Hamilton theorem, Galois groups, Sylvester’s law of inertia, Eisenstein criterion, and solvability by radicals. Readers are assumed to have a grasp of elementary properties of groups, rings, fields, and vector spaces, and familiarity with the elementary properties of positive integers, inner product space of finite dimension and linear transformations is beneficial.

Galois Theory

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Author : David A. Cox
language : en
Publisher: John Wiley & Sons
Release Date : 2011-10-24

Galois Theory written by David A. Cox and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-24 with Mathematics categories.

An introduction to one of the most celebrated theories of mathematics Galois theory is one of the jewels of mathematics. Its intrinsic beauty, dramatic history, and deep connections to other areas of mathematics give Galois theory an unequaled richness. David Cox’s Galois Theory helps readers understand not only the elegance of the ideas but also where they came from and how they relate to the overall sweep of mathematics. Galois Theory covers classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields. The book also delves into more novel topics, including Abel’s theory of Abelian equations, the problem of expressing real roots by real radicals (the casus irreducibilis), and the Galois theory of origami. Anyone fascinated by abstract algebra will find careful discussions of such topics as: The contributions of Lagrange, Galois, and Kronecker How to compute Galois groups Galois’s results about irreducible polynomials of prime or prime-squared degree Abel’s theorem about geometric constructions on the lemniscate With intriguing Mathematical and Historical Notes that clarify the ideas and their history in detail, Galois Theory brings one of the most colorful and influential theories in algebra to life for professional algebraists and students alike.

Topic From Galois Theory

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Author : Pai-Yuan Chang
language : en
Publisher:
Release Date : 1969

Topic From Galois Theory written by Pai-Yuan Chang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with categories.