Linear Algebra: Concepts and Applications

Linear Algebra: Concepts and Applications is a comprehensive textbook covering core linear algebra topics, with a focus on geometric interpretation and applications. It includes over 800 exercises and references to the author's software Linear Algebra Toolkit.

Format: Hardback
Length: 383 pages
Publication date: 30 March 2019
Publisher: American Mathematical Society

Linear Algebra: Concepts and Applications is a comprehensive textbook designed for a first-level linear algebra course taken by students majoring in mathematics and science. It offers a thorough exploration of fundamental linear algebra topics, including vectors and matrices, systems of linear equations, general vector spaces, linear transformations, eigenvalues, and eigenvectors. Each result is meticulously and rigorously proven, ensuring the accuracy and reliability of the content. The exposition is written in a clear and accessible manner, making the text suitable for students with a range of backgrounds.

The applications of linear algebra are vast and significant, with numerous examples and applications throughout the text. These applications not only reinforce the theoretical concepts but also provide practical insights into various fields, such as multivariable calculus. One unique feature of the text is its emphasis on geometric interpretation and viewpoint. The author incorporates geometric concepts and visualizations to enhance the understanding and visualization of linear algebraic concepts. This approach helps students connect the abstract mathematical ideas with real-world applications.

Furthermore, the book provides a comprehensive treatment of the singular value decomposition (SVD), a powerful tool in linear algebra. The SVD is used to analyze and decompose matrices, which is essential in various scientific and engineering applications. The text includes over 800 exercises and numerous references to the author's custom software, Linear Algebra Toolkit. This software provides additional resources and tools for students to practice and further explore the topics covered in the book.

Overall, Linear Algebra: Concepts and Applications is an excellent textbook for students seeking a solid foundation in linear algebra. Its comprehensive coverage, accessible exposition, emphasis on geometric interpretation, and extensive exercise and reference materials make it an invaluable resource for both undergraduate and graduate students in mathematics, engineering, and related fields.

Weight: 1158g
Dimension: 223 x 290 x 24 (mm)
ISBN-13: 9781470443849