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010   $a3-030-86155-4
024 7 $a10.1007/978-3-030-86155-1
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035   $a(PPN)269153039
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035   $a(DE-He213)978-3-030-86155-1
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100   $a20220520d2022      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aApplication-Inspired Linear Algebra /$fby Heather A. Moon, Thomas J. Asaki, Marie A. Snipes
205   $a1st ed. 2022.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022.
215   $a1 online resource (538 pages)
225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5514
300   $aIncludes index.
311 08$aPrint version: Moon, Heather A. Application-Inspired Linear Algebra Cham : Springer International Publishing AG,c2022 9783030861544 
327   $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.
330   $aThis textbook invites students to discover abstract ideas in linear algebra within the context of applications. Diffusion welding and radiography, the two central applications, are introduced early on and used throughout to frame the practical uses of important linear algebra concepts. Students will learn these methods through explorations, which involve making conjectures and answering open-ended questions. By approaching the subject in this way, new avenues for learning the material emerge: For example, vector spaces are introduced early as the appropriate setting for the applied problems covered; and an alternative, determinant-free method for computing eigenvalues is also illustrated. In addition to the two main applications, the authors also describe possible pathways to other applications, which fall into three main areas: Data and image analysis (including machine learning); dynamical modeling; and optimization and optimal design. Several appendices are included as well, oneof which offers an insightful walkthrough of proof techniques. Instructors will also find an outline for how to use the book in a course. Additional resources can be accessed on the authors? website, including code, data sets, and other helpful material. Application-Inspired Linear Algebra will motivate and immerse undergraduate students taking a first course in linear algebra, and will provide instructors with an indispensable, application-first approach.
410  0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5514
606   $aAlgebras, Linear
606   $aMathematics
606   $aLinear Algebra
606   $aApplications of Mathematics
615  0$aAlgebras, Linear.
615  0$aMathematics.
615 14$aLinear Algebra.
615 24$aApplications of Mathematics.
676   $a512.5
676   $a512.5
700   $aMoon$b Heather A.$01237760
702   $aAsaki$b Thomas J.$f1963-
702   $aSnipes$b Marie A.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910574049803321
996   $aApplication-inspired linear algebra$92988004
997   $aUNINA