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5 unusual facts about Concrete Mathematics


AMS Euler

First implemented in METAFONT, AMS Euler was first used in the book Concrete Mathematics, co-authored by Knuth, which was dedicated to Euler.

Concrete Mathematics

Donald Knuth used the first edition of Concrete Mathematics as a test case for the AMS Euler typeface and Concrete Roman font.

Concrete Mathematics: A Foundation for Computer Science, by Ronald Graham, Donald Knuth, and Oren Patashnik, is a textbook that is widely used in computer-science departments.

Eulerian number

Concrete Mathematics: A Foundation for Computer Science, Second Edition.

Oren Patashnik

He is notable for co-creating BibTeX, and co-writing Concrete Mathematics: A Foundation for Computer Science.


Ronald Graham

He has published about 320 papers and five books, including Concrete Mathematics with Donald Knuth and Oren Patashnik.


see also

Farey sequence

Ronald L. Graham, Donald E. Knuth, and Oren Patashnik, Concrete Mathematics: A Foundation for Computer Science, 2nd Edition (Addison-Wesley, Boston, 1989); in particular, Sec. 4.5 (pp. 115–123), Bonus Problem 4.61 (pp. 150, 523–524), Sec. 4.9 (pp. 133–139), Sec. 9.3, Problem 9.3.6 (pp. 462–463).