Principles & Methods of Applied Mathematics
WorldScientific, 2025 (summer) and also Living Book at this web-site
Lecture Notes for Math 581 @ UArizona -- this is one of the three core courses of the Graduate Interdisciplinary Program in Applied Mathematics at UArizona
Upcoming Updates to the Lecture Notes:
After the book’s publication by WorldScientific in Summer 2025, I plan to periodically update link to the most recent LIVING version of the book. These updates will address any corrections, as well as potentially include additional material for the later chapters of the course. The new content will focus on contemporary areas of applied mathematics, particularly those related to Artificial Intelligence, Machine Learning, and Data Science, with insights into the latest advancements in these fields.
Jupiter Notebooks (in Julia) are referenced in the book -- links are LIVING too
Chapter 8 -- Basic Concepts in Statistics
Chapter 9 -- Stochastic Processes
Chapter 10 -- Elements of Inference & Learning