The Resource Galois Theory, by Steven H. Weintraub, (electronic resource)

Galois Theory, by Steven H. Weintraub, (electronic resource)

Label
Galois Theory
Title
Galois Theory
Statement of responsibility
by Steven H. Weintraub
Creator
Author
Author
Subject
Language
  • eng
  • eng
Summary
Classical Galois theory is a subject generally acknowledged to be one of the most central and beautiful areas in pure mathematics. This text develops the subject systematically and from the beginning, requiring of the reader only basic facts about polynomials and a good knowledge of linear algebra. Key topics and features of this book: - Approaches Galois theory from the linear algebra point of view, following Artin - Develops the basic concepts and theorems of Galois theory, including algebraic, normal, separable, and Galois extensions, and the Fundamental Theorem of Galois Theory - Presents a number of applications of Galois theory, including symmetric functions, finite fields, cyclotomic fields, algebraic number fields, solvability of equations by radicals, and the impossibility of solution of the three geometric problems of Greek antiquity - Excellent motivaton and examples throughout The book discusses Galois theory in considerable generality, treating fields of characteristic zero and of positive characteristic with consideration of both separable and inseparable extensions, but with a particular emphasis on algebraic extensions of the field of rational numbers. While most of the book is concerned with finite extensions, it concludes with a discussion of the algebraic closure and of infinite Galois extensions. Steven H. Weintraub is Professor and Chair of the Department of Mathematics at Lehigh University. This book, his fifth, grew out of a graduate course he taught at Lehigh. His other books include Algebra: An Approach via Module Theory (with W. A. Adkins)
Member of
Is Subseries of
http://library.link/vocab/creatorName
Weintraub, Steven H
Dewey number
512.32
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
JS_ZCpyhHCU
Language note
English
LC call number
QA247-QA247.45
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Field theory (Physics)
  • Group theory
  • Number theory
  • Field Theory and Polynomials
  • Group Theory and Generalizations
  • Number Theory
Label
Galois Theory, by Steven H. Weintraub, (electronic resource)
Instantiates
Publication
Note
Includes index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
to Galois Theory -- Field Theory and Galois Theory -- Development and Applications of Galois Theory -- Extensions of the field of Rational Numbers -- Further Topics in Field Theory
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (194 p.)
Form of item
online
Isbn
9780387289175
Media category
computer
Media type code
c
Other control number
10.1007/0-387-28917-8
Specific material designation
remote
System control number
  • (CKB)1000000000491993
  • (EBL)3062389
  • (SSID)ssj0000317896
  • (PQKBManifestationID)11246711
  • (PQKBTitleCode)TC0000317896
  • (PQKBWorkID)10307784
  • (PQKB)10509778
  • (DE-He213)978-0-387-28917-5
  • (MiAaPQ)EBC3062389
  • (EXLCZ)991000000000491993
Label
Galois Theory, by Steven H. Weintraub, (electronic resource)
Publication
Note
Includes index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
to Galois Theory -- Field Theory and Galois Theory -- Development and Applications of Galois Theory -- Extensions of the field of Rational Numbers -- Further Topics in Field Theory
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (194 p.)
Form of item
online
Isbn
9780387289175
Media category
computer
Media type code
c
Other control number
10.1007/0-387-28917-8
Specific material designation
remote
System control number
  • (CKB)1000000000491993
  • (EBL)3062389
  • (SSID)ssj0000317896
  • (PQKBManifestationID)11246711
  • (PQKBTitleCode)TC0000317896
  • (PQKBWorkID)10307784
  • (PQKB)10509778
  • (DE-He213)978-0-387-28917-5
  • (MiAaPQ)EBC3062389
  • (EXLCZ)991000000000491993

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