Basic notions of algebra
(eBook)
This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches.
Shafarevich, I. R. 1. (2005). Basic notions of algebra. Berlin ; New York, Springer.
Chicago / Turabian - Author Date Citation (style guide)Shafarevich, I. R. 1923-2017. 2005. Basic Notions of Algebra. Berlin ; New York, Springer.
Chicago / Turabian - Humanities Citation (style guide)Shafarevich, I. R. 1923-2017, Basic Notions of Algebra. Berlin ; New York, Springer, 2005.
MLA Citation (style guide)Shafarevich, I. R. 1923-2017. Basic Notions of Algebra. Berlin ; New York, Springer, 2005.
Notes
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Last Sierra Extract Time | Apr 05, 2024 08:32:03 AM |
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Last File Modification Time | Apr 05, 2024 08:33:35 AM |
Last Grouped Work Modification Time | Apr 05, 2024 08:32:16 AM |
MARC Record
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100 | 1 | |a Shafarevich, I. R.|q (Igorʹ Rostislavovich),|d 1923-2017.|1 https://id.oclc.org/worldcat/entity/E39PBJwddhYxygkJB6XQwQhWDq | |
245 | 1 | 0 | |a Basic notions of algebra /|c Igor R. Shafarevich. |
260 | |a Berlin ;|a New York :|b Springer,|c ©2005. | ||
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490 | 1 | |a Encyclopaedia of mathematical sciences,|x 0938-0396 ;|v v. 11 | |
504 | |a Includes bibliographical references (pages 244-248)-and indexes. | ||
505 | 0 | |a What is Algebra?; Fields; Commutative Rings; Homomorphisms and Ideals; Modules; Algebraic Aspects of Dimension; The Algebraic View of Infinitesimal Notions; Noncommutative Rings; Modules over Noncommutative Rings; Semisimple Modules and Rings; Division Algebras of Finite Rank; The Notion of a Group; Examples of Groups: Finite Groups; Examples of Groups: Infinite Discrete Groups; Examples of Groups: Lie Groups and Algebraic Groups; General Results of Group Theory; Group Representations; Some Applications of Groups; Lie Algebras and Nonassociative Algebra; Categories; Homological Algebra. | |
506 | |a University staff and students only. Requires University Computer Account login off-campus. | ||
520 | |a This book is wholeheartedly recommended to every student or user of mathematics. Although the author modestly describes his book as 'merely an attempt to talk about' algebra, he succeeds in writing an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields, commutative rings and groups studied in every university math course, through Lie groups and algebras to cohomology and category theory, the author shows how the origins of each algebraic concept can be related to attempts to model phenomena in physics or in other branches. | ||
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700 | 1 | |a Shafarevich, I. R.|q (Igorʹ Rostislavovich),|d 1923-2017.|t Algebra 1. | |
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