Transformation of Mathematics Between World Wars: The Case of Combinatorics
Identifikátory výsledku
Kód výsledku v IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F21%3A10438137" target="_blank" >RIV/00216208:11320/21:10438137 - isvavai.cz</a>
Výsledek na webu
<a href="http://dx.doi.org/10.1142/9781786349316_0012" target="_blank" >http://dx.doi.org/10.1142/9781786349316_0012</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/9781786349316_0012" target="_blank" >10.1142/9781786349316_0012</a>
Alternativní jazyky
Jazyk výsledku
angličtina
Název v původním jazyce
Transformation of Mathematics Between World Wars: The Case of Combinatorics
Popis výsledku v původním jazyce
The chapter provides an overview of the major discoveries in combinatorics between the world wars. At that time, combinatorics was already a well-established mathematical discipline, with new results being published in respected journals including the Acta Mathematica, American Journal of Mathematics, or Annals of Mathematics. The motivation for studying combinatorial problems frequently came from other disciplines such as set theory, group theory, linear algebra, logic or number theory. Recreational mathematics was an important source of inspiration for research in graph theory, and this fact contributed to the bad reputation of graph theory as a science of trivial problems. However, the publication of the first textbook of graph theory in 1936, which presented it as a completely rigorous discipline with applications in linear algebra and set theory, helped to change this attitude. In the meanwhile, some important results that are now classified as belonging to graph theory were formulated in the language of topological structures. Finally, one should not forget that numerous developments in combinatorics grew out of purely practical problems, such as the design of experiments, construction of electricity networks, or the enumeration of chemical compounds.
Název v anglickém jazyce
Transformation of Mathematics Between World Wars: The Case of Combinatorics
Popis výsledku anglicky
The chapter provides an overview of the major discoveries in combinatorics between the world wars. At that time, combinatorics was already a well-established mathematical discipline, with new results being published in respected journals including the Acta Mathematica, American Journal of Mathematics, or Annals of Mathematics. The motivation for studying combinatorial problems frequently came from other disciplines such as set theory, group theory, linear algebra, logic or number theory. Recreational mathematics was an important source of inspiration for research in graph theory, and this fact contributed to the bad reputation of graph theory as a science of trivial problems. However, the publication of the first textbook of graph theory in 1936, which presented it as a completely rigorous discipline with applications in linear algebra and set theory, helped to change this attitude. In the meanwhile, some important results that are now classified as belonging to graph theory were formulated in the language of topological structures. Finally, one should not forget that numerous developments in combinatorics grew out of purely practical problems, such as the design of experiments, construction of electricity networks, or the enumeration of chemical compounds.
Klasifikace
Druh
C - Kapitola v odborné knize
CEP obor
—
OECD FORD obor
10101 - Pure mathematics
Návaznosti výsledku
Projekt
<a href="/cs/project/GA18-00449S" target="_blank" >GA18-00449S: Dopad první světové války na utváření a proměny vědeckého života matematické komunity</a><br>
Návaznosti
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Ostatní
Rok uplatnění
2021
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Údaje specifické pro druh výsledku
Název knihy nebo sborníku
The Development of Mathematics Between the World Wars
ISBN
978-1-78634-930-9
Počet stran výsledku
38
Strana od-do
549-586
Počet stran knihy
624
Název nakladatele
World Scientific
Místo vydání
London
Kód UT WoS kapitoly
—