Books
- A Course in Mathematical Methods for Physicists, CRC 2013
- An Introduction to Fourier Analysis - CRC 2016
Recent Book Chapters
- "Laplace Transforms and Green's Functions," 2025, Engineering Problems and the Laplace Transform, ed. Martinez-Luaces, p. 1-112.
- "Laplace Transforms and Summable Series," 2025, The Laplace Transform and its Applications in Science, ed. Martinez-Luaces, p. 127-200.
LibreTexts Library
- Some of the Lecture Notes have been selected for inclusion in the LibreTexts Mathematics Library:
- Introduction to Partial Differential Equations
- Second Course in Differential Equations
- First Course in Differential Equations
Lecture Notes
- Book Length Course Notes
- Introduction to Partial Differential Equations - Fall 2014-Spring 2015
- A
First Course in Partial Differential Equations - 2017-2021, Spring 2024 Version,
and the Second semester in PDEs- Spring 2021 - A First Course in Differential Equations for Scientists and Engineers - June 2014-2018
- Solving Differential Equations Using Simulink - 2015-2020
- A Second Course in Differential Equations Book - Fall 2008 (needs editing)
- AI in Mathematics for Fall 2025
AI in Mathematics hopes to be a guide to provide senior undergraduate mathematics students with a comprehensive understanding of how to thoughtfully. and effectively integrate AI tools into their research practices.
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