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Mathematical Analysis

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Mathematical Analysis at MU »
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⇑Mathematical Analysis at MU

Language: English Studies in English

Subject area: mathematics and statistics

University website: www.muni.cz/

Years of study: 4

⇑Definitions and quotes

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

By this way of Analysis we may proceed from Compounds to Ingredients, and from Motions to the Forces producing them; and in general, from Effects to their Causes, and from particular Causes to more general ones, till the Argument end in the most general. This is the Method of Analysis: and the Synthesis consists in assuming the Causes discover'd, and establish'd as Principles, and by them explaining the Phænomena proceeding from them, and proving the Explanations.

Isaac Newton, Opticks (1704) {pp. 380-381 in 4th edition (1730)}

Wikiquote

Analysis

The word Analysis signifies the general and particular heads of a discourse, with their mutual connections, both co-ordinate and subordinate, drawn out into one or more tables.

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

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Analysis

Fortunately analysis is not the only way to resolve inner conflicts. Life itself still remains a very effective therapist... The therapy effected by life itself is not, however, within one's control. Neither hardships nor friendships nor religious experience can be arranged to meet the needs of the particular individual. Life as a therapist is ruthless; circumstances that are helpful to one neurotic may entirely crush another.

Karen Horney Our Inner Conflicts (1945)

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