Linear Algebra for the 21st Century

Traditional mathematics curricula need to be updated to reflect the increasing use of computing, particularly in data mining, artificial intelligence, and bioinformatics. Linear Algebra for 21st Century Applications emphasizes the Singular Value Decomposition (SVD) as a central tool and integrates Matlab/Octave computation to develop mathematical concepts and applications. It also includes a strong graphical emphasis and active learning exercises to enhance student engagement.

Format: Paperback / softback
Length: 688 pages
Publication date: 09 October 2020
Publisher: Oxford University Press

Traditional mathematics curricula have traditionally relied heavily on manual calculation. However, with the advent of ubiquitous computing, we need to rethink our teaching strategies and methodologies. This is particularly true in the rapidly expanding fields of data mining, artificial intelligence, bioinformatics, and other areas that require the use of Singular Value Decomposition (SVD). Indeed, SVD is often regarded as the jewel in the crown of linear algebra.

Linear Algebra for 21st Century Applications aims to adapt linear algebra to best suit modern teaching and application. It emphasizes the importance of the SVD by placing it at the center of the text from an early stage, empowering science and engineering students to learn and apply powerful practical and theoretical techniques. The book demonstrates that most theoretical concepts can be better proven using SVD.

In addition to this, the book introduces orthogonality earlier and emphasizes its significance in various applied disciplines across science, engineering, computing, and even the social sciences. To incorporate computing into the curriculum, Matlab/Octave computation is explicitly integrated into developing mathematical concepts and applications. A strong graphical emphasis is used to leverage the power of visualisation in the human brain, with examples included to showcase modern applications of linear algebra, such as GPS, text mining, and image processing. Active learning is encouraged through exercises throughout the book, designed to enhance lectures, quizzes, or flipped teaching approaches.

By adapting linear algebra to meet the demands of the 21st century, this book prepares students to excel in their fields and contribute to the ongoing advancements in science, engineering, and technology.

Weight: 1276g
Dimension: 173 x 246 x 37 (mm)
ISBN-13: 9780198856405