Using a modern matrix-based approach, this rigorous second course in linear algebra helps upper-level undergraduates in mathematics, data science, and the physical sciences transition from basic theory to advanced topics and applications. Its clarity of exposition together with many illustrations, 900+ exercises, and 350 conceptual and numerical examples aid the student's understanding. Concise chapters promote a focused progression through essential ideas. Topics are derived and discussed in detail, including the singular value decomposition, Jordan canonical form, spectral theorem, QR factorization,…
*Every chapter has been edited to reflect classroom experience
*300+ new problems and many more conceptual and numerical examples.
*Features new material on matrix norms, positive/nonnegative matrices, polynomial interpolation, Gaussian quadrature, orthogonal polynomials, and the Google matrix.
*More than 90 color-enhanced figures illustrate the geometric foundations of linear algebra.
*A comprehensive index, now with 2,000+ entries, enhances the value of the book for reference.
*Complete solutions to all problems are available in an Instructor’s Solution Manual.
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Online publication date: 21 June 2018
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A Second Course in Algebra
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Online publication date: 25 October 2017
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