Linear Algebra with Applications, 9th edition
Gareth Williams, Stetson University
Jones & Bartlett Learning, 2019
ISBN: 9781284120097;
Language: English
Linear Algebra with Applications, 9th edition is designed for the introductory course in linear algebra for students within engineering, mathematics, business management, and physics. Updated to increase clarity and improve student learning, this book provides a flexible blend of theory and engaging applications. The material is arranged into three parts that contain core and optional sections:
Part 1 introduces the basics, discussing systems of linear equations, vectors in Rn matrices, linear transformations, determinants, eigenvalues, and eigenspaces.
Part 2 builds on this material to discuss general vector spaces, and includes such topics as the Rank/Nullity Theorem, inner products, and coordinate representation.
Part 3 completes the course with important ideas and methods in Numerical Linear Algebra including ill-conditioning, pivoting, LU decomposition, and Singular Value Decomposition.
Throughout the text the author provides interesting applications, ranging from theoretical applications such as the use of linear algebra in differential equations, to many practical applications in the fields of electrical engineering, traffic analysis, relativity, history, and more.
Features and Benefits
- Updated to simplify earlier material in the text while going into later, more advanced material in more depth
- Interesting applications, both theoretical and practical, engage and challenge students
- Carefully explained and illustrated examples highlight key concepts through the text
The book also features a MATLAB manual that is included as an appendix, which consists of 31 sections that tie into the course material.
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