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Prague, Czech Republic

Charles University in Prague

Geometry, topology, and global analysis

Language: English Studies in English

University website: www.cuni.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.

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Analysis

The fact that all Mathematics is Symbolic Logic is one of the greatest discoveries of our age; and when this fact has been established, the remainder of the principles of mathematics consists in the analysis of Symbolic Logic itself.

Bertrand Russell, Principles of Mathematics (1903), Ch. I: Definition of Pure Mathematics, p. 5

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Analysis

Philosophers hasten too much from the analytic to the synthetic method ; that is, they draw general conclusions from too small a number of particular observations and experiments.

Lord Bolingbroke, reported in Austin Allibone ed. Prose Quotations from Socrates to Macaulay. (1903), p. 34

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Analysis

Analysis and natural philosophy owe their most important discoveries to this fruitful means, which is called induction. Newton was indebted to it for his theorem of the binomial and the principle of universal gravity.

Laplace, A Philosophical Essay on Probabilities, [Truscott and Emory] (New York 1902), p. 176.

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Physical sciences, Earth sciences

Better wave forecasting and modelling

Accurate wind and wave forecasts are crucial to the day-to-day management of offshore and coastal operations and play a key role in coastal management systems. EU-funded researchers therefore developed realistic ocean wave models and incorporated them into accurate global climate forecasts.

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