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Make eBroadcast my Homepage Contact Us It's Web Guide Encyclopedia Contents Multilinear algebra In mathematics multilinear algebra extends the methods of linear algebra . Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces , multilinear algebra builds on the concept of a tensor and develops the theory of 'tensor spaces'. In applications, numerous types of tensors arise. The theory tries to be comprehensive, with a corresponding range of spaces and an account of their relationships. Historical background of the approach to multilinear algebra The subject itself has various roots going back to the mathematics of the nineteenth century, in what was then called tensor analysis , or the " tensor calculus[?] of tensor fields ". It developed out of the use of tensors in differential geometry general relativity , and many branches of applied mathematics . Around the middle of the 20th century the study of tensors was reformulated more abstractly. The Bourbaki group's treatise Multilinear Algebra was especially influential in fact the term multilinear algebra was probably coined there.

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švodn­ str¡nka Tato str¡nka v origin¡le Multilinear algebra V matematice algebra multilinear rozÅ¡­Å™­ metody line¡rn­ algebry . Spravedliv¡ jak line¡rn­ algebra je postavena na představě o vektoru a vyv­j­ teorii vektorov½ch prostorů, algebra multilinear stav­ na pojet­ tensor a rozpracuje teorii ' tensor prostory . V aplikac­ch, četn© typy tensors vyvst¡vat. Teorie pokus­ se b½t ºpln½, s korespondenčn­m rozsahem prostorů a popisem jejich vztahů. Historick½ z¡klad př­stupu k algebře multilinear Předmět s¡m m¡ různ© kořeny běžn½ zpět k matematice devaten¡ct©ho stolet­, v čem byl pak volal tensor anal½za , nebo “tenzorov½ počet tensor pole”. To vyv­jelo se ven použit­ tensors v geometrii diferencovanosti obecn© relativnosti a mnoh½ch pobočk¡ch aplikovan© matematiky . Kolem středu 20. stolet­ studium tensors byl reformulated v­ce abstraktně. Bourbaki skupina je pojedn¡n­ Multilinear algebra byla obzvl¡Å¡tě vlivn¡ ve skutečnosti term­n multilinear algebru byl pravděpodobně razen½ tam.

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Inline videos See also: Category: Articles with embedded Videos. Multilinear algebra From Biocrawler In mathematics multilinear algebra extends the methods of linear algebra . Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces , multilinear algebra builds on the concept of a tensor and develops the theory of 'tensor spaces'. In applications, numerous types of tensors arise. The theory tries to be comprehensive, with a corresponding range of spaces and an account of their relationships. Table of contents showTocToggle("show","hide") 1 Historical background of the approach to multilinear algebra 2 Conclusion on the abstract approach 3 Content of multilinear algebra 4 From the point of view of applications ... edit Historical background of the approach to multilinear algebra The subject itself has various roots going back to the mathematics of the nineteenth century, in what was then called tensor analysis , or the " tensor calculus of tensor fields ". It developed out of the use of tensors in differential geometry general relativity , and many branches of applied mathematics . Around the middle of the 20th century the study of tensors was reformulated more abstractly. The Bourbaki group's treatise Multilinear Algebra multilinear algebra was probably coined there.

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Author Summary Author Books Authors Search Recently Added ... Northcott, D. G. (D. Northcott) Books on 'Multilinear algebra': This is the alphabetically ordered list of books of this author on ' Multilinear algebra ' subject (click to see subject information and books of other authors). Multilinear algebra D. G. Northcott Publisher: Cambridge ; Cambridge University Press ISBN: 0521262690 DDC: 512.5 LCC: QA199.5 FAQ Contact ISBNdb.com

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var categoryTreeCollapseMsg = "collapse"; var categoryTreeExpandMsg = "expand"; var categoryTreeLoadMsg = "load"; var categoryTreeLoadingMsg = "loading…"; var categoryTreeNothingFoundMsg = "nothing found"; var categoryTreeNoSubcategoriesMsg = "no subcategories"; var categoryTreeNoPagesMsg = "no pages or subcategories"; var categoryTreeErrorMsg = "Problem loading data."; var categoryTreeRetryMsg = "Please wait a moment and try again."; Category:Multilinear algebra From Wikimedia Commons, the free media repository Jump to: navigation search Subcategories This category has only the following subcategory. D Determinant Media in category "Multilinear algebra" The following 7 files are in this category, out of 7 total. ClassicTensorDiagram... 2,516 bytes DefinizioneProdottoT... 1,757 bytes ExteriorAlgebra-01.p... 2,002 bytes Tensor product of mo... 4,766 bytes TensorAlgebra-01.png 2,018 bytes TensorProductSpace-0... 2,418 bytes TesnsorProductConstr... 2,478 bytes Retrieved from " http://commons.wikimedia.org/wiki/Category:Multilinear_algebra Category Linear algebra Views Category Discussion Edit History Personal tools Log in / create account Navigation Main Page Welcome Community portal Village pump Participate Upload file Recent changes Latest files Random file ... Donate Search Toolbox What links here Related changes Upload file Special pages ... Permanent link This page was last modified on 14 November 2007, at 21:25.

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Premium Content Register Log In Help ... The Web Advertisement Multilinear algebra Wikipedia, the free encyclopedia Cite This Source In mathematics multilinear algebra extends the methods of linear algebra . Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces , multilinear algebra builds on the concept of a tensor and develops the theory of 'tensor spaces'. In applications, numerous types of tensors arise. The theory tries to be comprehensive, with a corresponding range of spaces and an account of their relationships. Historical background of the approach to multilinear algebra The subject itself has various roots going back to the mathematics of the nineteenth century, in what was then called tensor analysis , or the " tensor calculus of tensor fields ". It developed out of the use of tensors in differential geometry general relativity , and many branches of applied mathematics . Around the middle of the 20th century the study of tensors was reformulated more abstractly. The Bourbaki group's treatise Multilinear Algebra multilinear algebra was probably coined there.

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Multilinear algebra Jump to: navigation search In mathematics multilinear algebra extends the methods of linear algebra . Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces , multilinear algebra builds on the concept of a tensor and develops the theory of 'tensor spaces'. In applications, numerous types of tensors arise. The theory tries to be comprehensive, with a corresponding range of spaces and an account of their relationships. Historical background of the approach to multilinear algebra Conclusion on the abstract approach Topics in multilinear algebra From the point of view of applications The subject itself has various roots going back to the mathematics of the nineteenth century, in what was then called tensor analysis , or the " tensor calculus of tensor fields ". It developed out of the use of tensors in differential geometry general relativity , and many branches of applied mathematics . Around the middle of the 20th century the study of tensors was reformulated more abstractly. The Bourbaki group's treatise Multilinear Algebra was especially influential — in fact the term multilinear algebra was probably coined there.

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