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 fΓΌr Mathematik "... There are few proofs in full, but there is an exhilarating combinati
Algebra 1. Basic Notions of Algebra
β Scribed by A. I. Kostrikin, I. R. Shafarevich
- Book ID
- 127455279
- Publisher
- Springer-Verlag
- Year
- 1990
- Tongue
- English
- Weight
- 2 MB
- Series
- Encyclopaedia of Mathematical Sciences
- Edition
- EMS011, Springer
- Category
- Library
- ISBN
- 3540264744
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
π SIMILAR VOLUMES
These two volumes must be regarded as a landmark in algebraical literature. The enormous wealth of material, the depth of treatment, and the masterly exposition render these volumes exceptionally valuable. All courses on algebra, from the second undergraduate year to the specialist studies for docto
*Basic Algebra* and *Advanced Algebra* systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established. Together, the two books give the reader a global view of algebra and its role in mathematics as a whole. Key topics an