{"product_id":"introduction-to-differential-geometry-for-engineers-9780486488165","title":"Introduction to Differential Geometry for Engineers","description":"This outstanding guide supplies important mathematical tools for diverse engineering applications, offering engineers the basic concepts and terminology of modern global differential geometry. Suitable for independent study as well as a supplementary text for advanced undergraduate and graduate courses, this volume also constitutes a valuable reference for control, systems, aeronautical, electrical, and mechanical engineers.The treatment's ideas are applied mainly as an introduction to the Lie theory of differential equations and to examine the role of Grassmannians in control systems analysis. Additional topics include the fundamental notions of manifolds, tangent spaces, vector fields, exterior algebra, and Lie algebras. An appendix reviews concepts related to vector calculus, including open and closed sets, compactness, continuity, and derivative.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Dover Publications\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/19\/2012\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9780486488165\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 163\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.40lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.40h x 5.40w x 0.60d","brand":"Brian F. Doolin, Clyde F. Martin","offers":[{"title":"Default Title","offer_id":36637867180188,"sku":"9780486488165","price":12.71,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0473\/0804\/6492\/products\/img_c87a6286-c776-440f-ac5b-6c8f9b580737.jpg?v=1603845882","url":"https:\/\/pastforward.org\/products\/introduction-to-differential-geometry-for-engineers-9780486488165","provider":"Past Forward","version":"1.0","type":"link"}