001436807 000__ 04228cam\a2200601\i\4500
001436807 001__ 1436807
001436807 003__ OCoLC
001436807 005__ 20230309004114.0
001436807 006__ m\\\\\o\\d\\\\\\\\
001436807 007__ cr\un\nnnunnun
001436807 008__ 210525s2021\\\\sz\a\\\\ob\\\\001\0\eng\d
001436807 019__ $$a1255229279$$a1255233319$$a1261769612$$a1262381969$$a1262682336$$a1264836080
001436807 020__ $$a9783030528119$$q(electronic bk.)
001436807 020__ $$a3030528111$$q(electronic bk.)
001436807 020__ $$a9783030528126$$q(print)
001436807 020__ $$a303052812X
001436807 020__ $$a9783030528133$$q(print)
001436807 020__ $$a3030528138
001436807 020__ $$z9783030528102
001436807 020__ $$z3030528103
001436807 0247_ $$a10.1007/978-3-030-52811-9$$2doi
001436807 035__ $$aSP(OCoLC)1252707509
001436807 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dOCLCO$$dOCLCF$$dVT2$$dUKAHL$$dOCLCQ$$dCOM$$dOCLCO$$dOCLCQ
001436807 049__ $$aISEA
001436807 050_4 $$aQA184.2$$b.J64 2021
001436807 08204 $$a512/.5$$223
001436807 1001_ $$aJohnston, Nathaniel,$$eauthor.
001436807 24510 $$aIntroduction to linear and matrix algebra /$$cNathaniel Johnston.
001436807 264_1 $$aCham :$$bSpringer,$$c[2021]
001436807 264_4 $$c©2021
001436807 300__ $$a1 online resource :$$billustrations (chiefly color)
001436807 336__ $$atext$$btxt$$2rdacontent
001436807 337__ $$acomputer$$bc$$2rdamedia
001436807 338__ $$aonline resource$$bcr$$2rdacarrier
001436807 347__ $$atext file
001436807 347__ $$bPDF
001436807 504__ $$aIncludes bibliographical references and indexes.
001436807 5050_ $$aChapter 1: Vectors and Geometry -- Chapter 2: Linear systems and Subspaces -- Chapter 3: Unraveling Matrices -- Appendix A: Mathematical Preliminaries -- Appendix B: Additional Proofs -- Appendix C: Selected Exercises Solutions.
001436807 506__ $$aAccess limited to authorized users.
001436807 520__ $$aThis textbook emphasizes the interplay between algebra and geometry to motivate the study of linear algebra. Matrices and linear transformations are presented as two sides of the same coin, with their connection motivating inquiry throughout the book. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. Those continuing to a second course in linear algebra will appreciate the companion volume Advanced Linear and Matrix Algebra. Starting with an introduction to vectors, matrices, and linear transformations, the book focuses on building a geometric intuition of what these tools represent. Linear systems offer a powerful application of the ideas seen so far, and lead onto the introduction of subspaces, linear independence, bases, and rank. Investigation then focuses on the algebraic properties of matrices that illuminate the geometry of the linear transformations that they represent. Determinants, eigenvalues, and eigenvectors all benefit from this geometric viewpoint. Throughout, Extra Topic sections augment the core content with a wide range of ideas and applications, from linear programming, to power iteration and linear recurrence relations. Exercises of all levels accompany each section, including many designed to be tackled using computer software. Introduction to Linear and Matrix Algebra is ideal for an introductory proof-based linear algebra course. The engaging color presentation and frequent marginal notes showcase the author's visual approach. Students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. Instructors will appreciate the ample opportunities to choose topics that align with the needs of each classroom, and the online homework sets that are available through WeBWorK.
001436807 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed June 9, 2021).
001436807 650_0 $$aAlgebras, Linear.
001436807 650_0 $$aMatrices.
001436807 650_6 $$aAlgèbre linéaire.
001436807 650_6 $$aMatrices.
001436807 655_0 $$aElectronic books.
001436807 77608 $$iPrint version:$$aJohnston, Nathaniel.$$tIntroduction to linear and matrix algebra.$$dCham : Springer, [2021]$$z3030528103$$z9783030528102$$w(OCoLC)1157445908
001436807 852__ $$bebk
001436807 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-52811-9$$zOnline Access$$91397441.1
001436807 909CO $$ooai:library.usi.edu:1436807$$pGLOBAL_SET
001436807 980__ $$aBIB
001436807 980__ $$aEBOOK
001436807 982__ $$aEbook
001436807 983__ $$aOnline
001436807 994__ $$a92$$bISE