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, structure, space, models, and change. History On ...

from

Kraków Kraków (), or Cracow, is the second-largest and one of the oldest cities in Poland. Situated on the Vistula, Vistula River in Lesser Poland Voivodeship, the city dates back to the seventh century. Kraków was the official capital of Poland un ...

, 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 ...

. In 1932, he proved that the

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

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: * 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 In mathe ...

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'' has ...

resp. a

parallelogram In Euclidean geometry, a parallelogram is a simple (non- self-intersecting) quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of eq ...

.For more details on the topic, see the entry "

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 ...

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 ''Aequationes Mathematicae'' is a mathematical journal. It is primarily devoted to functional equations, but also publishes papers in dynamical systems, combinatorics, and geometry. As well as publishing regular journal submissions on these topic ...

(1972) 74. * Golab, S.: ''Über das Carnotsche Skalarprodukt in schwach normierten Vektorräumen.''

13 (1975) 9–13. * Golab,S., ''Sur un problème de la métrique angulaire dans la géometrie de Minkowski'',

(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 {{Poland-mathematician-stub