Igor R. Shafarevich,
Aleksej I. Kostrikin
Springer Berlin Heidelberg
2005e druk, 2005
9783540251774
Basic Notions of Algebra
Specificaties
Gebonden, 260 blz.
|
Engels
Springer Berlin Heidelberg |
2005e druk, 2005
ISBN13: 9783540251774
Rubricering
Onderdeel van serie
Encyclopaedia of Mathematical Sciences
Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783540251774
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:260
Uitgever:Springer Berlin Heidelberg
Druk:2005
Inhoudsopgave
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.- K-theory.