The Resource Algebra II : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)
Algebra II : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)
Resource Information
The item Algebra II : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.This item is available to borrow from 1 library branch.
Resource Information
The item Algebra II : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in European University Institute.
This item is available to borrow from 1 library branch.
 Summary
 This book is the second volume of an intensive “Russianstyle” twoyear 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.
 Language
 eng
 Extent
 1 online resource (XV, 370 pages)
 Contents

 §1Tensor Products
 §2 Tensor Algebras
 §3 Symmetric Functions
 §4 Calculus of Arrays, Tableaux, and Diagrams
 §5 Basic Notions of Representation Theory
 §6 Representations of Finite Groups in Greater Detail
 §7 Representations of Symmetric Groups
 §8 sl_2Modules
 §9 Categories and Functors
 §10 Extensions of Commutative Rings
 §11 Affine Algebraic Geometry
 §12 Algebraic Manifolds
 §13 Algebraic Field Extensions
 §14 Examples of Galois Groups
 References
 Hints to Some Exercises
 Index
 Isbn
 9783319508535
 Label
 Algebra II : Textbook for Students of Mathematics
 Title
 Algebra II
 Title remainder
 Textbook for Students of Mathematics
 Statement of responsibility
 by Alexey L. Gorodentsev
 Language
 eng
 Summary
 This book is the second volume of an intensive “Russianstyle” twoyear 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.
 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 II : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)
 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
 §1Tensor Products  §2 Tensor Algebras  §3 Symmetric Functions  §4 Calculus of Arrays, Tableaux, and Diagrams  §5 Basic Notions of Representation Theory  §6 Representations of Finite Groups in Greater Detail  §7 Representations of Symmetric Groups  §8 sl_2Modules  §9 Categories and Functors  §10 Extensions of Commutative Rings  §11 Affine Algebraic Geometry  §12 Algebraic Manifolds  §13 Algebraic Field Extensions  §14 Examples of Galois Groups  References  Hints to Some Exercises  Index
 Control code
 9783319508535
 Dimensions
 unknown
 Extent
 1 online resource (XV, 370 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, noncommercial 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
 9783319508535
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319508535
 Other physical details
 155 illustrations, 2 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)973925845
 Label
 Algebra II : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)
 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
 §1Tensor Products  §2 Tensor Algebras  §3 Symmetric Functions  §4 Calculus of Arrays, Tableaux, and Diagrams  §5 Basic Notions of Representation Theory  §6 Representations of Finite Groups in Greater Detail  §7 Representations of Symmetric Groups  §8 sl_2Modules  §9 Categories and Functors  §10 Extensions of Commutative Rings  §11 Affine Algebraic Geometry  §12 Algebraic Manifolds  §13 Algebraic Field Extensions  §14 Examples of Galois Groups  References  Hints to Some Exercises  Index
 Control code
 9783319508535
 Dimensions
 unknown
 Extent
 1 online resource (XV, 370 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, noncommercial 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
 9783319508535
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319508535
 Other physical details
 155 illustrations, 2 illustrations in color.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (OCoLC)973925845
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AlgebraIITextbookforStudentsof/nVZyAlmhb_4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/AlgebraIITextbookforStudentsof/nVZyAlmhb_4/">Algebra II : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.eui.eu/portal/AlgebraIITextbookforStudentsof/nVZyAlmhb_4/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.eui.eu/portal/AlgebraIITextbookforStudentsof/nVZyAlmhb_4/">Algebra II : Textbook for Students of Mathematics, by Alexey L. Gorodentsev, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.eui.eu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.eui.eu/">European University Institute</a></span></span></span></span></div>