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The Resource Algebra : From the Viewpoint of Galois Theory, by Siegfried Bosch, (electronic resource)

Algebra : From the Viewpoint of Galois Theory, by Siegfried Bosch, (electronic resource)

Label
Algebra : From the Viewpoint of Galois Theory
Title
Algebra
Title remainder
From the Viewpoint of Galois Theory
Statement of responsibility
by Siegfried Bosch
Creator
Subject
Language
eng
Summary
The material presented here can be divided into two parts. The first, sometimes referred to as abstract algebra, is concerned with the general theory of algebraic objects such as groups, rings, and fields, hence, with topics that are also basic for a number of other domains in mathematics. The second centers around Galois theory and its applications. Historically, this theory originated from the problem of studying algebraic equations, a problem that, after various unsuccessful attempts to determine solution formulas in higher degrees, found its complete clarification through the brilliant ideas of E. Galois. The study of algebraic equations has served as a motivating terrain for a large part of abstract algebra, and according to this, algebraic equations are visible as a guiding thread throughout the book. To underline this point, an introduction to the history of algebraic equations is included. The entire book is self-contained, up to a few prerequisites from linear algebra. It covers most topics of current algebra courses and is enriched by several optional sections that complement the standard program or, in some cases, provide a first view on nearby areas that are more advanced. Every chapter begins with an introductory section on "Background and Overview," motivating the material that follows and discussing its highlights on an informal level. Furthermore, each section ends with a list of specially adapted exercises, some of them with solution proposals in the appendix. The present English edition is a translation and critical revision of the eighth German edition of the Algebra book by the author. The book appeared for the first time in 1993 and, in later years, was complemented by adding a variety of related topics. At the same time it was modified and polished to keep its contents up to date.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Bosch, Siegfried
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Birkhäuser Advanced Texts Basler Lehrbücher,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Field theory (Physics)
  • Geometry, algebraic
Label
Algebra : From the Viewpoint of Galois Theory, by Siegfried Bosch, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-95177-5
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Elementary Group Theory -- Rings and Polynomials -- Algebraic Field Extensions -- Galois Theory -- More on Group Theory -- Applications of Galois Theory -- Transcendental Field Extensions
Control code
978-3-319-95177-5
Dimensions
unknown
Extent
1 online resource (XV, 352 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319951775
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
13 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1077591137
Label
Algebra : From the Viewpoint of Galois Theory, by Siegfried Bosch, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-95177-5
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Elementary Group Theory -- Rings and Polynomials -- Algebraic Field Extensions -- Galois Theory -- More on Group Theory -- Applications of Galois Theory -- Transcendental Field Extensions
Control code
978-3-319-95177-5
Dimensions
unknown
Extent
1 online resource (XV, 352 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319951775
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
13 illustrations
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1077591137

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