Coverart for item
The Resource Algebra I : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)

Algebra I : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)

Label
Algebra I : Textbook for Students of Mathematics
Title
Algebra I
Title remainder
Textbook for Students of Mathematics
Statement of responsibility
by Alexey L. Gorodentsev
Creator
Subject
Language
eng
Summary
This book is the first volume of an intensive “Russian-style” two-year undergraduate course in abstract algebra, and introduces readers to the basic algebraic structures – fields, rings, modules, algebras, groups, and categories – and explains the main principles of and methods for working with them. The course covers substantial areas of advanced combinatorics, geometry, linear and multilinear algebra, representation theory, category theory, commutative algebra, Galois theory, and algebraic geometry – topics that are often overlooked in standard undergraduate courses. This textbook is based on courses the author has conducted at the Independent University of Moscow and at the Faculty of Mathematics in the Higher School of Economics. The main content is complemented by a wealth of exercises for class discussion, some of which include comments and hints, as well as problems for independent study.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Gorodentsev, Alexey L
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer eBooks
http://library.link/vocab/subjectName
  • Mathematics
  • Algebra
Label
Algebra I : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-45285-2
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
Notations and Abbreviations -- 1 Set-Theoretic and Combinatorial Background -- 2 Integers and Residues -- 3 Polynomials and Simple Field Extensions -- 4 Elementary Functions and Power Series Expansions -- 5 Ideals, Quotient Rings, and Factorization -- 6 Vectors -- 7 Duality -- 8 Matrices -- 9 Determinants -- 10 Euclidean Spaces -- 11 Projective Spaces -- 12 Groups -- 13 Description of Groups -- 14 Modules over a Principal Ideal Domain -- 15 Linear Operators -- 16 Bilinear Forms -- 17 Quadratic Forms and Quadrics -- 18 Real Versus Complex -- 19 Hermitian Spaces -- 20 Quaternions and Spinors -- References -- Hints to Selected Exercises -- Index
Control code
978-3-319-45285-2
Dimensions
unknown
Extent
1 online resource (XX, 564 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
9783319452852
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-45285-2
Other physical details
79 illustrations, 42 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)965136076
Label
Algebra I : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-45285-2
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
Notations and Abbreviations -- 1 Set-Theoretic and Combinatorial Background -- 2 Integers and Residues -- 3 Polynomials and Simple Field Extensions -- 4 Elementary Functions and Power Series Expansions -- 5 Ideals, Quotient Rings, and Factorization -- 6 Vectors -- 7 Duality -- 8 Matrices -- 9 Determinants -- 10 Euclidean Spaces -- 11 Projective Spaces -- 12 Groups -- 13 Description of Groups -- 14 Modules over a Principal Ideal Domain -- 15 Linear Operators -- 16 Bilinear Forms -- 17 Quadratic Forms and Quadrics -- 18 Real Versus Complex -- 19 Hermitian Spaces -- 20 Quaternions and Spinors -- References -- Hints to Selected Exercises -- Index
Control code
978-3-319-45285-2
Dimensions
unknown
Extent
1 online resource (XX, 564 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
9783319452852
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-45285-2
Other physical details
79 illustrations, 42 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)965136076

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