| Dewey Class |
512 |
| Titel |
Algebra I : basic notions of algebra / A.I. Kostrikin, I.R. Shafarevich (eds.) |
| (M) |
| Added Personal Name |
Kostrikin, Aleksei Ivanovic |
| Shafarevich, Igor R.(Igor Rostislavovich) , 1923-2017 |
| Šafarevič, Igor Rostislavovič |
| , 1923-2017 |
| Veröffentl |
Berlin : Springer-Verlag , 1990 |
| Physical Details |
258 p. ; 24 cm. |
| Reihe |
Encyclopaedia of mathematical sciences ; 11 |
| ISBN |
3-540-17006-5 |
| Notiz |
Translation of "Algebra", Moscow, 1986 etc. |
| Summary Note |
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 of mathematics. Comparable in style with Hermann Weyl's evergreen essay The Classical Groups, Shafarevich's new book is sure to become required reading for mathematicians, from beginners to experts.Review: From the reviews: "This is one of the few mathematical books, the reviewer has read from cover to cover ... The main merit is that nearly on every page you will find some unexpected insights..." (Zentralblatt fur Mathematik und Ihre Grenzgebiete, 1991) ..".which I read like a novel and undoubtedly will become a classic. ... A merit of the book under review is that it contains several important articles from journals which are not all so easily accessible. ... Furthermore, at the end of the book, there are some Notes by the author which are indispensible for the necessary historical background information. ... This valuable book should be on the shelf of every algebraist and algebraic geometer." (Nieuw Archief voor Wiskunde, 1992): |
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