| Description |
1 online resource (258 pages) : illustrations |
| Series |
Encyclopaedia of mathematical sciences, 0938-0396 ; v. 11 |
|
Encyclopaedia of mathematical sciences ; v. 11. 0938-0396
|
| Contents |
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 |
| Summary |
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 |
| Bibliography |
Includes bibliographical references (pages 244-248)-and indexes |
| Notes |
English |
|
Print version record |
| In |
Springer e-books |
| Subject |
Algebra.
|
|
algebra.
|
|
MATHEMATICS -- Algebra -- Intermediate.
|
|
Algebra.
|
|
Algèbre.
|
|
Álgebra
|
|
Algebra
|
|
Algebra.
|
| Form |
Electronic book
|
| Author |
Shafarevich, I. R. (Igorʹ Rostislavovich), 1923-2017.
Algebra 1
|
| ISBN |
9783540264743 |
|
3540264744 |
|
3540251774 |
|
9783540251774 |
|
9783540612216 |
|
3540612211 |
|
1280304766 |
|
9781280304767 |
|
9786610304769 |
|
6610304769 |
|
