代数学

图书标准信息

• 作者 [美]莫（Moh.T.T.） 著
• 出版社 世界图书出版公司
• 出版时间 2009-01
• 版次 1
• ISBN 9787506292634
• 定价 55.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 350页
• 正文语种 英语

【内容简介】

ThepresentbookcomesfromthefirstpartofthelecturenotesIusedforafirst-yeargraduatealgebracourseattheUniversityofMinnesota，PurdueUniversity，andPekingUniversity．TheChineseversionsofthesenoteswerepublishedbyThePekingUniversitvPressin1986，andbyLinkingPublishingCoofTaiwanin1987．

【目录】

ChapterⅠSettheoryandNumberTheory
1SetTheory
2UniqueFactorizationTheorem
3Congruence
4ChineseRemainderTheorem
5ComplexIntegers
6RealNumbersandp-aclicNumbers

ChapterⅡGrouptheory
1Definitions
2TheTransformationGroupsonSets
3Subgroups
4NormalSubgroupsandInnerAutomorphisms
5AutomorphismGroups
6p-GroupsandSylowTheorems
7Jordan-HolderTheorem
8SymmetricGroupSn

ChapterⅢPolynomials
1FieldsandRings
2PolynomialRingsandQuotientFields
3UniqueFactorizationTheoremforPolynomials
4SymmetricPolynomial,ResultantandDiscriminant
5Ideals

ChapterⅣLinearAlgebra
1VectorSpaces
2BasisandDimension
3LinearTransformationandMatrix
4ModuleandModuleoverP.I.D
5JordanCanonicalForm
6CharacteristicPolynomial
7InnerProductandBilinearform
8SpectralTheory

ChapterⅤPolynomialsinOneVariableandFieldTheory
1AlgebraicallyClosedField
2AlgebraicExtension
3AlgebraicClosure
4CharacteristicandFiniteField
5SeparableAlgebraicExtension
6GaloisTheory
7SolveEquationbyRadicals
8FieldPolynomialandFieldDiscriminant
9Luroth'sTheorem
Appendix
A1SetTheoreticalNotations
A2Peano'sAxioms
A3HomologicalAlgebra
Index