Brno, Czech Republic

Geometry, Topology and Global Analysis

Geometrie, topologie a globální analýza

Language: Czech Studies in Czech
Subject area: mathematics and statistics
University website: www.muni.cz/
Years of study: 4
Analysis
Analysis is the process of breaking a complex topic or substance into smaller parts in order to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle (384–322 B.C.), though analysis as a formal concept is a relatively recent development.
Global
Global means of or referring to a globe and may also refer to:
Analysis
The terms synthesis and analysis are used in mathematics in a more special sense than in logic. In ancient mathematics they had a different meaning from what they now have. The oldest definition of mathematical analysis as opposed to synthesis is that given in Euclid, XIII. 5, which in all probability was framed by Eudoxus: "Analysis is the obtaining of the thing sought by assuming it and so reasoning up to an admitted truth; synthesis is the obtaining of the thing sought by reasoning up to the inference and proof of it."
Florian Cajori, A History of Mathematics (1893). p. 30
Analysis
Analysis and synthesis, though commonly treated as two different methods, are, if properly understood, only the two necessary parts of the same method. Each is the relative and correlative of the other.
Sir W. Hamilton, reported in Austin Allibone ed. Prose Quotations from Socrates to Macaulay. (1903), p. 34
Analysis
Government, in the last analysis, is organized opinion. Where there is little or no public opinion, there is likely to be bad government, which sooner or later becomes autocratic government.
William Lyon Mackenzie King, Message of the Carillon (1927)
In an effort to transform Europe into a green economy, stakeholders have created various indicators to measure its progress. An EU initiative is examining tools that assess green growth and sustainable development in order to facilitate this transition.
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