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Algebra and Galois Theories

2020-07-13 Mathematics
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Release : 2020-07-13
Genre : Mathematics
Kind : eBook
Book Rating : 965/5 ( reviews)

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Book Synopsis Algebra and Galois Theories by : Régine Douady

Download or read book Algebra and Galois Theories written by Régine Douady. This book was released on 2020-07-13. Available in PDF, EPUB and Kindle. Book excerpt: Galois theory has such close analogies with the theory of coverings that algebraists use a geometric language to speak of field extensions, while topologists speak of "Galois coverings". This book endeavors to develop these theories in a parallel way, starting with that of coverings, which better allows the reader to make images. The authors chose a plan that emphasizes this parallelism. The intention is to allow to transfer to the algebraic framework of Galois theory the geometric intuition that one can have in the context of coverings. This book is aimed at graduate students and mathematicians curious about a non-exclusively algebraic view of Galois theory.

Galois Theories

2001-02-22 Mathematics
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Release : 2001-02-22
Genre : Mathematics
Kind : eBook
Book Rating : 090/5 ( reviews)

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Book Synopsis Galois Theories by : Francis Borceux

Download or read book Galois Theories written by Francis Borceux. This book was released on 2001-02-22. Available in PDF, EPUB and Kindle. Book excerpt: Develops Galois theory in a more general context, emphasizing category theory.

Galois Theory

2008-10-20 Mathematics
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Release : 2008-10-20
Genre : Mathematics
Kind : eBook
Book Rating : 751/5 ( reviews)

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Book Synopsis Galois Theory by : Steven H. Weintraub

Download or read book Galois Theory written by Steven H. Weintraub. This book was released on 2008-10-20. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algebra with Galois Theory

2007 Mathematics
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Release : 2007
Genre : Mathematics
Kind : eBook
Book Rating : 297/5 ( reviews)

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Book Synopsis Algebra with Galois Theory by : Emil Artin

Download or read book Algebra with Galois Theory written by Emil Artin. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt: 'Algebra with Galois Theory' is based on lectures by Emil Artin. The book is an ideal textbook for instructors and a supplementary or primary textbook for students.

Galois Theory and Advanced Linear Algebra

2019-12-28 Mathematics
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Release : 2019-12-28
Genre : Mathematics
Kind : eBook
Book Rating : 496/5 ( reviews)

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Book Synopsis Galois Theory and Advanced Linear Algebra by : Rajnikant Sinha

Download or read book Galois Theory and Advanced Linear Algebra written by Rajnikant Sinha. This book was released on 2019-12-28. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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