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Application-Inspired Linear Algebra

Af: Heather A. Moon, Marie A. Snipes, Thomas J. Asaki Engelsk Paperback

Application-Inspired Linear Algebra

Af: Heather A. Moon, Marie A. Snipes, Thomas J. Asaki Engelsk Paperback
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This 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.

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This 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.

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Produktdetaljer
Sprog: Engelsk
Sider: 527
ISBN-13: 9783030861575
Indbinding: Paperback
Udgave:
ISBN-10: 3030861570
Kategori: Algebra
Udg. Dato: 21 maj 2023
Længde: 0mm
Bredde: 178mm
Højde: 254mm
Forlag: Springer Nature Switzerland AG
Oplagsdato: 21 maj 2023
Forfatter(e): Heather A. Moon, Marie A. Snipes, Thomas J. Asaki
Forfatter(e) Heather A. Moon, Marie A. Snipes, Thomas J. Asaki

Kategori Algebra

ISBN-13 9783030861575

Sprog Engelsk

Indbinding Paperback

Sider 527

Udgave

Længde 0mm

Bredde 178mm

Højde 254mm

Udg. Dato 21 maj 2023

Oplagsdato 21 maj 2023

Forlag Springer Nature Switzerland AG