Inexpositionsoftheelementsoftopologyitiscustomaryforhomologytobegivenafundamentalrole.SincePoincare,wholaidthefoundationsoftopology,homologytheoryhaeenregardedastheappropriateprimarybasisforanintroductiontothemethodsofalgebraictopology.Fromhomotopytheory,ontheotherhand,onlythefundamentalgroupandcovering-spacetheoryhavetraditionallybeenincludedamongthebasicinitialconcepts.Essentiallyallelementaryclassicaltextbooksoftopology(thebestofwhichis,intheopinionofthepresentauthors,SeifertandThrelfall'sATextbookofTopology)beginwiththehomologytheoryofoneoranotherclassofplexes.Onlyatalaterstage(andthenstillfromahomologicalpointofview)dofibre-spacetheoryandthegeneralproblemofclassifyinghomotopyclassesofmaps(homotopytheory)einforconsideration.However,methodsdevelopedininvestigatingthetopologyofdifferentiablemanifolds,andintensivelyelaboratedfromthe1930sonwards(byWhitneyandothers),nowpermitawholesalereorganizationofthestandardexpositionOfthefundamentalsofmoderntopology.Inthisnewapproach,whichresemblesmorethatofclassicalanaly
数学在哪里1-6年级下册,唐彩斌,电子工业 【新华正版书籍】 作者 唐彩斌 原价 ￥228.00 出版社 电子工业 出版时间 2020-03-01
本书详细介绍了柯西-许瓦兹不等式、柯西不等式的应用技巧、证明恒等式、解方程（组）或解不等式、证明不等式、证明条件不等式、求函数的极值、解几何问题、切比雪夫不等式及其应用等内容，而且在重要章节后面都有相应的习题解答或提示。
