Alexander Paulin

Books

Two textbooks, written to be read by students learning the subject for the first time.

Alexander Paulin

A First Course in Linear Algebra: Theory and Practice

  • With David Nadler and Vineet GuptaAmerican Mathematical SocietyForthcoming

A first course in linear algebra that integrates applications, especially from data science, into rigorous mathematics. It was written alongside Berkeley's Math 56 and is structured to follow a weekly lecture rhythm, leading students through the subject in an intuitive, visual way. Worked examples throughout come with a prompt to try a similar problem.

Math 56, Fall 2025 uses the book.

Abstract Algebra: A Concise Introduction

  • With Ed Segal and Will DonovanSpringerForthcoming

A concise first course in abstract algebra. It moves from the concrete to the abstract and leans on visual tools such as Cayley diagrams, coset diagrams and subgroup lattices to build intuition.