Farlow is the author of several books in mathematics, including
- Partial Differential Equations for Scientists and Engineers (Wiley, 1982; Russian translation, Moscow: Mir, 1985; Dover, 1993)[3]
- Applied Mathematics for Management, Life Science, and Social Science (with Gary M. Haggard, Random House, 1988)
- Finite Mathematics and Its Applications (with Gary M. Haggard, Random House, 1988; 2nd ed., McGraw Hill, 1994)
- Introduction to Calculus with Applications (with Gary M. Haggard, McGraw Hill, 1990)
- An Introduction to Differential Equations and Their Applications (McGraw Hill, 1994; Dover, 2006)
- Differential Equations and Linear Algebra (with James E. Hall, Jean Marie Mc Dill, and Beverly H. West, Prentice Hall, 2002)
- Paradoxes in Mathematics (Dover, 2014)[4]
- Advanced Mathematics: A Transitional Reference (Wiley, 2020)
He is also the editor of:
- Self-Organizing Methods in Modeling: GMDH Type Algorithms (Marcel Dekker, 1984)