Overview

This textbook set 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 two books. By focusing on this interface, the author offers a conceptual appreciation of the mathematics that is at the heart of further theory and applications. The second volume builds on the introductory foundations laid in the first. Linear and Matrix Algebra presents a unified pathway from introductory to advanced techniques. The engaging color presentation and frequent marginal notes showcase the author’s visual approach. To begin, students are assumed to have completed one or two university-level mathematics courses, though calculus is not an explicit requirement. On completing the set, students will be equipped with the advanced tools and concepts needed for further study in mathematics, data analysis, and beyond.Instructors will appreciate the ample opportunities to select topics that align with the needs of each classroom, along with the convenience of consistency across the undergraduate linear algebra curriculum.

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9783030837563

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Nathaniel Johnston is an Associate Professor of Mathematics at Mount Allison University in New Brunswick, Canada. His research makes use of linear algebra, matrix analysis, and convex optimization to tackle questions related to the theory of quantum entanglement.

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