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Algebra I: Basic Notions of Algebra
Algebra I: Basic Notions of Algebra
Date: 16 Apr 2007, 11:49
(Encyclopaedia of Mathematical Sciences)
258 Pages, ISBN: 0387170065

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.


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