Stanisław Gołąb (July 26, 1902 – April 30, 1980) was a Polish

mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, mathematical structure, structure, space, Mathematica ...

from

Kraków , officially the Royal Capital City of Kraków, is the List of cities and towns in Poland, second-largest and one of the oldest cities in Poland. Situated on the Vistula River in Lesser Poland Voivodeship, the city has a population of 804,237 ...

, working in particular on the field of

affine geometry In mathematics, affine geometry is what remains of Euclidean geometry when ignoring (mathematicians often say "forgetting") the metric notions of distance and angle. As the notion of '' parallel lines'' is one of the main properties that is i ...

. In 1932, he proved that the

perimeter A perimeter is the length of a closed boundary that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional line. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimet ...

of the

unit disc In mathematics, the open unit disk (or disc) around ''P'' (where ''P'' is a given point in the plane), is the set of points whose distance from ''P'' is less than 1: :D_1(P) = \.\, The closed unit disk around ''P'' is the set of points whose d ...

respect to a given

metric Metric or metrical may refer to: Measuring * Metric system, an internationally adopted decimal system of measurement * An adjective indicating relation to measurement in general, or a noun describing a specific type of measurement Mathematics ...

can take any value in between 6 and 8, and that these extremal values are obtained if and only if the unit disc is an affine regular

hexagon In geometry, a hexagon (from Greek , , meaning "six", and , , meaning "corner, angle") is a six-sided polygon. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°. Regular hexagon A regular hexagon is de ...

resp. a

parallelogram In Euclidean geometry, a parallelogram is a simple polygon, simple (non-list of self-intersecting polygons, self-intersecting) quadrilateral with two pairs of Parallel (geometry), parallel sides. The opposite or facing sides of a parallelogram a ...

. He worked at the State Institute of Mathematics, which was incorporated into the

Polish Academy of Sciences The Polish Academy of Sciences (, PAN) is a Polish state-sponsored institution of higher learning. Headquartered in Warsaw, it is responsible for spearheading the development of science across the country by a society of distinguished scholars a ...

in 1952.

Selected works

* S. Gołąb: ''Quelques problèmes métriques de la géometrie de Minkowski'', Trav. de l'Acad. Mines Cracovie 6 (1932), 1–79 * Golab, S., ''Über einen algebraischen Satz, welcher in der Theorie der geometrischen Objekte auftritt'', Beiträge zur Algebra und Geometrie 2 (1974) 7–10. * Golab, S.; Swiatak, H.: ''Note on Inner Products in Vector Spaces.'' Aequationes Mathematicae (1972) 74. * Golab, S.: ''Über das Carnotsche Skalarprodukt in schwach normierten Vektorräumen.'' Aequationes Mathematicae 13 (1975) 9–13. * Golab, S., ''Sur un problème de la métrique angulaire dans la géometrie de Minkowski'', Aequationes Mathematicae (1971) 121. * Golab, S., ''Über die Grundlagen der affinen Geometrie.'', Jahresbericht DMV 71 (1969) 138–155.

Notes

External links

List of Golab's articles at U. of Göttingen, Germany
* 1902 births 1980 deaths 20th-century Polish mathematicians Geometers Scientists from Kraków Recipients of the Medal of the 10th Anniversary of the People's Republic of Poland {{Poland-mathematician-stub