We are happy to share the final draft of our forthcoming textbook:
Grey Ballard and Tamara G. Kolda
Tensor Decompositions for Data Science
Cambridge University Press
Tensor Textbook Final Draft Mar 25 2025.pdf
The book is available for presale now! See the Cambridge University Press Web Page. (I think the book will be ready before August, but we’ll see!)
This book is intended for a graduate-level course in a data-science domain such as mathematics, computer science, engineering, statistics, physics, neuroscience, etc. It is written so that it can be used flexibly. It can be adapted for a subunit in a longer class or can stand on its own in a full semester course. We include substantial background material in linear algebra, optimization, and probability and statistics in the hopes of making the contents widely accessible. The book includes links to several real-world datasets to be used as examples for experiments in the book, grounding the material and providing a playground for student experimentation.
I will post updated information at https://www.mathsci.ai/tensor-textbook/ as it becomes available. Please feel free to share this link with interested students and colleagues.
The cover on the author copy available here is a placeholder, and the print version will have the fancy cover above. Nevertheless, if you’re interested in how I created the placeholder cover and the many other graphics in the book, check the other book I’ve been working on Unlocking LaTeX Graphics.