Prague, Czech Republic

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.
Global
Global means of or referring to a globe and may also refer to:
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
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
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.
Cancer risk in humans exposed to low radiation doses is usually calculated based upon estimates obtained at higher doses. As many cancers originate in stem cells, studying low dose radiation effects on these cells is particularly important.
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