001446948 000__ 03997cam\a2200601Ii\4500 001446948 001__ 1446948 001446948 003__ OCoLC 001446948 005__ 20230310004054.0 001446948 006__ m\\\\\o\\d\\\\\\\\ 001446948 007__ cr\cn\nnnunnun 001446948 008__ 220525s2022\\\\sz\a\\\\o\\\\\001\0\eng\d 001446948 019__ $$a1319344001$$a1319428184 001446948 020__ $$a9783030861551$$q(electronic bk.) 001446948 020__ $$a3030861554$$q(electronic bk.) 001446948 020__ $$z9783030861544 001446948 020__ $$z3030861546 001446948 0247_ $$a10.1007/978-3-030-86155-1$$2doi 001446948 035__ $$aSP(OCoLC)1319833664 001446948 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dSFB$$dUKAHL$$dOCLCQ 001446948 049__ $$aISEA 001446948 050_4 $$aQA184.2 001446948 08204 $$a512/.5$$223/eng/20220525 001446948 1001_ $$aMoon, Heather A.,$$eauthor. 001446948 24510 $$aApplication-inspired linear algebra /$$cHeather A. Moon, Thomas J. Asaki, Marie A. Snipes. 001446948 264_1 $$aCham :$$bSpringer,$$c[2022] 001446948 264_4 $$c©2022 001446948 300__ $$a1 online resource :$$billustrations (some color). 001446948 336__ $$atext$$btxt$$2rdacontent 001446948 337__ $$acomputer$$bc$$2rdamedia 001446948 338__ $$aonline resource$$bcr$$2rdacarrier 001446948 4901_ $$aSpringer undergraduate texts in mathematics and technology 001446948 500__ $$aIncludes index. 001446948 5050_ $$a1 Introduction -- 2 Vector Spaces -- 3 Vector Space Arithmetic and Representations -- 4 Linear Transformations -- 5 Invertibility -- 6 Diagonalization -- 7 Inner Product Spaces and Pseudo-Invertibility -- 8 Conclusions -- A Radiography and Tomography -- B The Diffusion Equation -- C Proof Techniques -- D Fields. 001446948 506__ $$aAccess limited to authorized users. 001446948 520__ $$aThis textbook invites students to discover abstract ideas in linear algebra within the context of applications. Diffusion welding and radiography, the two central applications, are introduced early on and used throughout to frame the practical uses of important linear algebra concepts. Students will learn these methods through explorations, which involve making conjectures and answering open-ended questions. By approaching the subject in this way, new avenues for learning the material emerge: For example, vector spaces are introduced early as the appropriate setting for the applied problems covered; and an alternative, determinant-free method for computing eigenvalues is also illustrated. In addition to the two main applications, the authors also describe possible pathways to other applications, which fall into three main areas: Data and image analysis (including machine learning); dynamical modeling; and optimization and optimal design. Several appendices are included as well, one of which offers an insightful walkthrough of proof techniques. Instructors will also find an outline for how to use the book in a course. Additional resources can be accessed on the authors website, including code, data sets, and other helpful material. Application-Inspired Linear Algebra will motivate and immerse undergraduate students taking a first course in linear algebra, and will provide instructors with an indispensable, application-first approach. 001446948 588__ $$aDescription based on print version record. 001446948 650_0 $$aAlgebras, Linear. 001446948 650_0 $$aDiffusion bonding (Metals)$$xMathematics. 001446948 650_0 $$aRadiography$$xMathematics. 001446948 650_6 $$aAlgèbre linéaire.$$0(CaQQLa)201-0001189 001446948 650_6 $$aRadiographie$$0(CaQQLa)201-0064348$$xMathématiques.$$0(CaQQLa)201-0380112 001446948 655_7 $$aLlibres electrònics.$$2thub 001446948 655_0 $$aElectronic books. 001446948 7001_ $$aAsaki, Thomas J.,$$d1963-$$eauthor. 001446948 7001_ $$aSnipes, Marie A.,$$eauthor. 001446948 77608 $$iPrint version:$$aMoon, Heather A.$$tApplication-inspired linear algebra.$$dCham : Springer, 2022$$z9783030861544$$w(OCoLC)1295111448 001446948 830_0 $$aSpringer undergraduate texts in mathematics and technology. 001446948 852__ $$bebk 001446948 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-86155-1$$zOnline Access$$91397441.1 001446948 909CO $$ooai:library.usi.edu:1446948$$pGLOBAL_SET 001446948 980__ $$aBIB 001446948 980__ $$aEBOOK 001446948 982__ $$aEbook 001446948 983__ $$aOnline 001446948 994__ $$a92$$bISE