000			nam a22 4500
999			_c32383 _d32383
008			230830b xxu||||| |||| 00| 0 eng d
020			_a9783030861575
082			_a512.5 _bMOO
100			_aMoon, Heather A.
245			_aApplication-inspired linear algebra
260			_bSpringer, _c2022 _aCham :
300			_axxi, 527 p. ; _bill., (some color), _c26 cm
365			_b49.99 _cEUR _d94.90
490			_aSpringer Undergraduate Texts in Mathematics and Technology
504			_aIncludes index.
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.
650			_aLinear Diffusion bonding Mathematics
650			_aAugmented matrix
650			_aCoordinate vectors
650			_aEigenvectors
650			_aInner products space
650			_aLinear combination
650			_aLinear transformation
650			_aMatrix representation
650			_aRadiographic transformation
650			_aReduced echelon form
650			_aScalar multiplication
650			_aSingular value decomposition
650			_aSpanning set
650			_aVoxels
700			_aAsaki, Thomas J.
700			_aSnipes, Marie A.
942			_2ddc _cBK