02162nam a22003258i 4500001001600000003000700016008004100023020001800064020001800082020001800100035002000118041000800138082001500146100002600161245012800187264007100315300004000386336002600426337002600452338003600478500001300514520097600527650003301503650005001536650005201586856005501638932003201693596000601725949010501731CR9781316103845UkCbUP141103s2015||||enk o ||1 0|eng|d a9781316103845 a9781107087514 a9781107456815 a(Sirsi) a790687 aeng00a512/.52231 aYang, Yisong,eauthor12aA concise text on advanced linear algebrah[E-Book] /cYisong Yang, Polytechnic school of Engineering, New York University. 1aCambridge :bCambridge University Press,c2015e(CUP)fCUP20200108 a1 online resource (xiii, 318 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aenglisch aThis engaging textbook for advanced undergraduate students and beginning graduates covers the core subjects in linear algebra. The author motivates the concepts by drawing clear links to applications and other important areas, such as differential topology and quantum mechanics. The book places particular emphasis on integrating ideas from analysis wherever appropriate. For example, the notion of determinant is shown to appear from calculating the index of a vector field which leads to a self-contained proof of the Fundamental Theorem of Algebra, and the Cayley-Hamilton theorem is established by recognizing the fact that the set of complex matrices of distinct eigenvalues is dense. The material is supplemented by a rich collection of over 350 mostly proof-oriented exercises, suitable for students from a wide variety of backgrounds. Selected solutions are provided at the back of the book, making it suitable for self-study as well as for use as a course text. 0aAlgebras, LinearvTextbooks. 0aAlgebras, LinearxStudy and teaching (Higher) 0aAlgebras, LinearxStudy and teaching (Graduate)40uhttps://doi.org/10.1017/CBO9781316103845zVolltext aCambridgeCore (Order 30059) a1 aXX(790687.1)wAUTOc1i790687-1001lELECTRONICmZBrNsYtE-BOOKu8/1/2020xUNKNOWNzUNKNOWN1ONLINE