Dr. Ralph Grimaldi is an expert in discrete mathematics, combinatorics and graph theory. His textbook, Discrete and Combinatorial Mathematics: An Applied Introduction, is now in its fifth edition and has been translated into several languages for worldwide distribution. Dr. Grimaldi has received both the Board of Trustees Outstanding Scholar Award and the Dean's Outstanding Teacher Award. In his spare time he enjoys playing tennis.
Teaching Interests
- Calculus
- Differential equations
- Discrete mathematics
- Abstract algebra
- Linear algebra
Research Interests
- Combinatorics
- Graph theory
- Computer programmer/systems analyst, Applied Computing Devices, Inc., 1984-85
Select Publications & Presentations
- “Discrete and Combinatorial Mathematics: An Applied Introduction,” Fifth Edition, Pearson Publishing, 2014
- “Fibonacci and Catalan Numbers: An Introduction,” Wiley Publishing, 2012
- “Extraordinary Subsets,” Journal of Combinatorial Mathematics and Combinatorial Computing, future publication
- “Up-Down Sequences: Inversions, Coinversions, and the Sum of Major Indices,” Journal of Combinatorial Mathematics and Combinatorial Computing, 95, 271-287, 2015
- “Motzkin Paths with Exactly One weak Ascent,” Congressus Numerantium, 224, 39-63, 2015
- “Subsets with No Isolated Even Integers,” Congressus Numerantium, 221, 81-103, 2014
- Grimaldi, R. P. and Rickert J. H., “A Partial Order for Extraordinary Subsets,” Congressus Numerantium, 215, 17-32, 2013
- “Up-Down Sequences and the Fibonacci Numbers,” Congressus Numerantium, 213, 35-63, 2012
- “Mini-Course on Fibonacci and Catalan Numbers,” Joint Mathematics Meetings, San Francisco, 2010
Awards & Honors
- Dean's Outstanding Teacher Award, Rose-Hulman Institute of Technology, 2010
- Boards of Trustees Outstanding Scholar's Award, Rose-Hulman Institute of Technology, 1993
Academic Degrees
- PhD, New Mexico State University, 1972
- MS, State University of New York-Albany, 1965
- BS, State University of New York-Albany, 1964