# Nicolaas Govert de Bruijn

Nicolaas Govert de Bruijn | |
---|---|

Born | The Hague | 9 July 1918

Died | 17 February 2012 Nuenen | (aged 93)

Nationality | Dutch |

Alma mater | Vrije Universiteit Amsterdam |

Known for | De Bruijn sequence De Bruijn index Automath |

Scientific career | |

Fields | Mathematics |

Institutions | Eindhoven University of Technology |

Doctoral advisor | Jurjen Ferdinand Koksma |

Doctoral students | Johannes Runnenburg Stan Ackermans |

**Nicolaas Govert** (**Dick**) **de Bruijn** (Dutch: [nikoːˈlaːs ˈxoːvərt də ˈbrœyn];^{[1]} 9 July 1918 – 17 February 2012) was a Dutch mathematician, noted for his many contributions in the fields of analysis, number theory, combinatorics and logic.^{[2]}

## Biography[edit]

Born in The Hague, De Bruijn received his MA in Mathematics at the Leiden University in 1941. He received his PhD in 1943 from Vrije Universiteit Amsterdam with a thesis entitled "Over modulaire vormen van meer veranderlijken" advised by Jurjen Ferdinand Koksma.^{[3]}

De Bruijn started his academic career at the University of Amsterdam, where he was Professor of Mathematics from 1952 to 1960. In 1960 he moved to the Technical University Eindhoven where he was Professor of Mathematics until his retirement in 1984.^{[2]} Among his graduate students were Johannes Runnenburg (1960), Antonius Levelt (1961), S. Ackermans (1964), Jozef Beenakker (1966), W. van der Meiden (1967), Matheus Hautus (1970), Robert Nederpelt Lazarom (1973), Lambert van Benthem Jutting (1977), A. Janssen (1979), Diederik van Daalen (1980), and Harmannus Balsters (1986).^{[3]}

In 1957 he was appointed member of the Royal Netherlands Academy of Arts and Sciences.^{[4]} He was Knighted with the Order of the Netherlands Lion.

## Work[edit]

De Bruijn covered many areas of mathematics. He is especially noted for:

- the discovery of the De Bruijn sequence,
- discovering an algebraic theory of the Penrose tiling and, more generally, discovering the "projection" and "multigrid" methods for constructing quasi-periodic tilings,
^{[5]}^{[6]} - the De Bruijn–Newman constant,
- the
*De Bruijn–Erdős theorem*, in graph theory, - a different theorem of the same name: the
*De Bruijn–Erdős theorem*, in incidence geometry, - the BEST theorem in graph theory, and
- De Bruijn indices.

He wrote one of the standard books in advanced asymptotic analysis (De Bruijn, 1958).

In the late sixties, he designed the Automath language for representing mathematical proofs, so that they could be verified automatically (see automated theorem checking). Shortly before his death, he had been working on models for the human brain.

## Publications[edit]

Books, a selection:

- 1943.
*Over modulaire vormen van meer veranderlijken* - 1958.
*Asymptotic Methods in Analysis,*North-Holland, Amsterdam.

Articles, a selection:

- de Bruijn, Nicolaas Govert. "A combinatorial problem", 1946. In Proceedings of the Section of Sciences, Vol. 49, No. 7, pp. 758–764. Koninklijke Nederlandse Akademie v. Wetenschappen.
- de Bruijn, Nicolaas Govert. "The mathematical language AUTOMATH, its usage, and some of its extensions." Symposium on automatic demonstration. Springer Berlin Heidelberg, 1970.
- de Bruijn, Nicolaas Govert. "Lambda calculus notation with nameless dummies, a tool for automatic formula manipulation, with application to the Church-Rosser theorem." Indagationes Mathematicae (Proceedings). Vol. 75. No. 5. North-Holland, 1972.

## See also[edit]

## References[edit]

**^**In isolation,*Govert*is pronounced [ˈɣoːvərt].- ^
^{a}^{b}Nicolaas Govert de Bruijn's obituary Archived 2013-04-25 at the Wayback Machine. 2012 - ^
^{a}^{b}Nicolaas Govert de Bruijn at the Mathematics Genealogy Project **^**"Nicolaas Govert de Bruijn (1918 - 2012)" (in Dutch). Royal Netherlands Academy of Arts and Sciences. Retrieved 17 July 2015.**^**de Bruijn, N.G. (1981). "Algebraic theory of Penrose's non-periodic tilings of the plane. I".*Indagationes Mathematicae (Proceedings)*.**84**: 39–52. doi:10.1016/1385-7258(81)90016-0.**^**de Bruijn, N.G. (1981). "Algebraic theory of Penrose's non-periodic tilings of the plane. II".*Indagationes Mathematicae (Proceedings)*.**84**: 53–66. doi:10.1016/1385-7258(81)90017-2.

## External links[edit]

Wikimedia Commons has media related to .Nicolaas Govert de Bruijn (mathematician) |

- Nicolaas Govert de Bruijn's obituary
- Bruijn N.G. de at win.tue.nl (in Dutch)

- 1918 births
- 2012 deaths
- 20th-century Dutch mathematicians
- Graph theorists
- Leiden University alumni
- Vrije Universiteit Amsterdam alumni
- University of Amsterdam faculty
- Eindhoven University of Technology faculty
- People from The Hague
- Knights of the Order of the Netherlands Lion
- Members of the Royal Netherlands Academy of Arts and Sciences