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Applied Linear Algebra (Hardcover, 2nd ed. 2018)
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Applied Linear Algebra (Hardcover, 2nd ed. 2018)
Series: Undergraduate Texts in Mathematics
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This textbook develops the essential tools of linear algebra, with
the goal of imparting technique alongside contextual understanding.
Applications go hand-in-hand with theory, each reinforcing and
explaining the other. This approach encourages students to develop
not only the technical proficiency needed to go on to further
study, but an appreciation for when, why, and how the tools of
linear algebra can be used across modern applied mathematics.
Providing an extensive treatment of essential topics such as
Gaussian elimination, inner products and norms, and eigenvalues and
singular values, this text can be used for an in-depth first
course, or an application-driven second course in linear algebra.
In this second edition, applications have been updated and expanded
to include numerical methods, dynamical systems, data analysis, and
signal processing, while the pedagogical flow of the core material
has been improved. Throughout, the text emphasizes the conceptual
connections between each application and the underlying linear
algebraic techniques, thereby enabling students not only to learn
how to apply the mathematical tools in routine contexts, but also
to understand what is required to adapt to unusual or emerging
problems. No previous knowledge of linear algebra is needed to
approach this text, with single-variable calculus as the only
formal prerequisite. However, the reader will need to draw upon
some mathematical maturity to engage in the increasing abstraction
inherent to the subject. Once equipped with the main tools and
concepts from this book, students will be prepared for further
study in differential equations, numerical analysis, data science
and statistics, and a broad range of applications. The first
author's text, Introduction to Partial Differential Equations, is
an ideal companion volume, forming a natural extension of the
linear mathematical methods developed here.
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