E-Book, Englisch, Band 11, 260 Seiten, eBook
Shafarevich / Kostrikin Basic Notions of Algebra
2005
ISBN: 978-3-540-26474-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, Band 11, 260 Seiten, eBook
Reihe: Encyclopaedia of Mathematical Sciences
ISBN: 978-3-540-26474-3
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Research
Weitere Infos & Material
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.
