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Basic Notions of Algebra (Encyclopaedia of Mathematical Sciences .11) (2005. 2014. iv, 260 S. 235 mm)

Shafarevich, Igor R./ UEbersetzung: Reid, M./ Herausgegeben von Kostrikin, Aleksej I./ Shafarevich, Igor R.
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Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields studied in every university maths course, through Lie groups to cohomology and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Required reading for mathematicians, from beginners to experts.
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for among the myriad conceivable structures or sets with specified relations, only a very small discrete subset is of real interest to mathematicians, and the whole point of the question is to understand the special value of this infinitesimal fraction dotted among the amorphous masses.

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