Discrete Mathematics By Olympia Nicodemi -
Her background is in algebra and number theory, and that DNA is woven throughout the text. She is famously known for her Socratic teaching style—answering questions with questions, pushing students to discover structure rather than memorize it. The textbook reads exactly like a Nicodemi lecture: clear, patient, but relentlessly logical. Most discrete math textbooks follow a predictable formula: Chapter 1 (Logic), Chapter 2 (Set Theory), Chapter 3 (Functions), Chapter 4 (Algorithms), etc. Nicodemi follows a similar table of contents superficially, but the soul of the book is different.
First published in 1987 (with subsequent editions), Nicodemi’s text is not a reference manual, nor is it a standardized test-prep behemoth. It is a mathematical conversation . For those tired of flipping through endless lists of algorithms without context, Nicodemi offers a refreshing, historical, and conceptually rigorous alternative. This article explores why this often-overlooked book might just be the best discrete math textbook you’ve never heard of. Olympia Nicodemi is a Professor Emerita of Mathematics at the State University of New York (SUNY) College at Geneseo. Unlike modern textbook authors who are often hired by publishing houses to compile existing curricula, Nicodemi is a working mathematician and educator who wrote her book based on how she actually taught the course. Discrete Mathematics by Olympia Nicodemi
Her central philosophy can be boiled down to: Her background is in algebra and number theory,