Cambridge, United Kingdom

Mathematical Analysis

Language: English Studies in English
Subject area: mathematics and statistics
University website: www.cam.ac.uk
Doctor of Philosophy (PhD)
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.
Analysis
The investigation of difficult things by the method of analysis ought ever to precede the method of composition.
Isaac Newton, reported in Austin Allibone ed. Prose Quotations from Socrates to Macaulay. (1903), p. 34
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
Scarcity of fresh water is of growing concern in the Mediterranean area due to urbanisation, irrigation and changing rainfall patterns. The influx of millions of Sun-seeking tourists puts even more pressure on limited water resources during the summer season.
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