''Thinking vs manipulation - by W.B.Carver'' [source] from 1937.
''Narrative Structure of Mathematical Texts.
[...]
There are many styles for the narrative structure of a mathematical document. Each mathematician has its own conventions and traditions about labeling portions of texts (e.g., chapter, section, theorem or proof ) and identifying statements according to their logical importance (e.g., theorem is more important than lemma). Such narrative/structuring labels guide the reader’s navigation of the text and form the key components in the reasoning structure of the theory reflected in the text.'' [source]
''Scientific Enlightenment, Div. Two
4. The Problem of Representation,
Chapter 1 ,
Mathematics as Representation and the Essence of Calculus.
[...]
Al-Khwarizmi then shows how to solve the six standard types of equations. He uses both algebraic methods of solution and geometric methods. For example to solve the equation x2 + 10 x = 39 he writes [...]''
[source]
''Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments have come to light only in a few locales.'' [source]
Wednesday, March 23, 2011
Math: what is means, where it comes from? Is math narrative?
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