{"product_id":"linear-algebra-via-exterior-products-sergei-winitzki-9781409294962","title":"Linear Algebra via Exterior Products","description":"This is a pedagogical introduction to the coordinate-free approach in basic finite-dimensional linear algebra. The reader should be already exposed to the array-based formalism of vector and matrix calculations. This book makes extensive use of the exterior (anti-commutative, \"wedge\") product of vectors. The coordinate-free formalism and the exterior product, while somewhat more abstract, provide a deeper understanding of the classical results in linear algebra. Without cumbersome matrix calculations, this text derives the standard properties of determinants, the Pythagorean formula for multidimensional volumes, the formulas of Jacobi and Liouville, the Cayley-Hamilton theorem, the Jordan canonical form, the properties of Pfaffians, as well as some generalizations of these results.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Sergei Winitzki\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 140929496X\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781409294962\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Lulu Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/30\/2009\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 286\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.93lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.64d","brand":"Sergei Winitzki","offers":[{"title":"Paperback","offer_id":44052697514239,"sku":"9781409294962","price":19.76,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_0f0a46ef-46ca-4c39-93a3-71a78d308daf.jpg?v=1685020252","url":"https:\/\/www.whiterainbookhouse.com\/products\/linear-algebra-via-exterior-products-sergei-winitzki-9781409294962","provider":"WR Book House","version":"1.0","type":"link"}