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"This is the International Edition. The content is in English, same as US version but different cover. Please DO NOT buy if you can not accept this difference.Ship from Shanghai China, please allow about 3 weeks on the way to US or Europe.Message me if you have any questions." ... Read more

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High Quality Content by WIKIPEDIA articles! In mathematics, the modern component-free approach to the theory of a tensor views a tensor as an abstract object, expressing some definite type of multi-linear concept. Their well-known properties can be derived from their definitions, as linear maps or more generally; and the rules for manipulations of tensors arise as an extension of linear algebra to multilinear algebra.In differential geometry an intrinsic geometric statement may be described by a tensor field on a manifold, and then doesn't need to make reference to coordinates at all. The same is true in general relativity, of tensor fields describing a physical property. The component-free approach is also used heavily in abstract algebra and homological algebra, where tensors arise naturally. ... Read more

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In mathematics, algebraic K-theory is an important part ofhomological algebra concerned with defining and applying asequence of functors from rings to abelian groups, for allintegers n. For historical reasons, the lower K-groups K0and K1 are thought of in somewhat different terms from thehigher algebraic K-groups Kn for n ? 2. Indeed, the lowergroups are more accessible, and have more applications,than the higher groups. The theory of the higher K-groupsis noticeably deeper, and certainly much harder to compute(even when R is the ring of integers). ... Read more