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dc.contributor.authorHeinrich Weber
dc.date.accessioned2016-02-19T10:39:04Z
dc.date.available2016-02-19T10:39:04Z
dc.date.issued1899
dc.identifier.isbn0821826476,9780821826478
dc.identifier.issn
dc.identifier.urihttp://ir.nmu.org.ua/handle/GenofondUA/1235
dc.description.abstractWeber's three-volume set on algebra was for many years the standard text on algebra. Published at the end of the nineteenth century, it helped usher group theory to a central place in twentieth century mathematics. Volume 1 covers foundational material. Volume 2 covers group theory and its applications, plus the theory of algebraic numbers. Volume 3 covers advanced topics, such as algebraic functions, elliptic functions and class field theory. This second volume, in four parts, covers groups, linear groups, applications of group theory, and algebraic numbers. The first part, on groups, includes abelian groups, the group of a cyclotomic field, cubic and biquadratic fields and the study of general groups. The second part, on linear groups, looks at groups of linear substitutions, group invariants, polyhedral groups, and congruence groups. The third part, on applications of group theory, examines metacyclic equations and Galois groups, the inflection points of third-order curves, double-tangents of fourth-order curves, the general theory of fifth-order equations, and certain topics on equations of order seven. The fourth part begins the study of algebraic numbers (which is taken up again in the third volume). The topics here include the general theory of algebraic numbers and functions on an algebraic field, class numbers, cyclotomic fields, abelian extensions, resolvants, and transcendental numbers. Although notations have changed somewhat and algebra has become more abstract that it was in Weber's day, many of the same themes and ideas important today are central topics in Weber's book, which may be why it has become a classic.
dc.language.isoGerman
dc.publisherAmerican Mathematical Society
dc.subjectМатематика\\Алгебра
dc.subjectMathematics\\Algebra
dc.subject.ddc
dc.subject.lcc
dc.titleLehrbuch der Algebra
dc.typeother
dc.identifier.aichJIBJCASZTG3XMSUL4EKK4LSNOZHM7ZDL
dc.identifier.crc324567377B
dc.identifier.doi
dc.identifier.edonkey376DA2B95AFE0DB63CE97A72CD8DD691
dc.identifier.googlebookid
dc.identifier.openlibraryidOL11419943M
dc.identifier.udk
dc.identifier.bbk
dc.identifier.libgenid4887
dc.identifier.md50D2DC657F0AF8137A984F99C3CC0EDA6
dc.identifier.sha1IXTMJ46IKZP6C4KIVQJGSCYVTJUXAOK6
dc.identifier.tthKVQPDL37QYSXYOGM6KEBVRXF2YXBVJA74JEO74A


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