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"This undergraduate textbook on Linear Algebra and n-Dimensional Geometry, in a self-teaching style, is invaluable for sophomore level undergraduates in mathematics, engineering, business, and the sciences. These are classical subjects on which there are many mathematics books in theorem-proof style, but this unique volume has its focus on developing the mathematical modelling as well as computational and algorithmic skills in students at this level. The explanations in this book are detailed, lucid, and supported with numerous well-constructed examples to capture the interest and encourage the student to master the material."

"Biased towards functional methods, this work presents a polynomial approach to Linear Algebra. Using the shift operator as a central object it makes linear algebra a suitable introduction to other areas of mathematics, particularly operator theory."

"Differential geometry is the study of the curvature and calculus of curves and surfaces. A New Approach to differential geometry using Clifford's geometric algebra simplifies the discussion to an accessible level of differential geometry by introducing Clifford algebra. This presentation is relevant because Clifford algebra is an effective tool for dealing with the rotations intrinsic to the study of curved space."