Probability Paradigms: Navigating the Mathematics of Chance

This is an introductory book on probability theory, designed for self-study. It covers the same topics as the one-semester introductory courses which is taught at the University of Minnesota, with some extra discussion for reading on your own. The reasons which underlie the rules of probability are emphasized. Probability theory is certainly useful. But how […]

Vector Visions: Understanding Linear Transformations

This book serves primarily as a textbook for undergraduate Linear Algebra courses. While standard Linear Algebra books begin by focusing on solving systems of linear equations and associated procedural skills, our book begins by developing a conceptual framework for the topic using the central objects, vector spaces and linear transformations. It covers the same concepts, […]