Marcus Giaquinto

Visual Thinking in Mathematics

An Epistemological Study

• Broschiertes Buch

Produktbeschreibung

Marcus Giaquinto presents an investigation into the different kinds of visual thinking involved in mathematical thought, drawing on work in cognitive psychology, philosophy, and mathematics. He argues that mental images and physical diagrams are rarely just superfluous aids: they are often a means of discovery, understanding, and even proof.

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Produktdetails

• Verlag: OUP Oxford
• Seitenzahl: 298
• Erscheinungstermin: 22. September 2011
• Englisch
• Abmessung: 234mm x 156mm x 16mm
• Gewicht: 456g
• ISBN-13: 9780199575534
• ISBN-10: 0199575533
• Artikelnr.: 33371683

Autorenporträt

Marcus Giaquinto is a Reader in Philosophy at University College London.

Inhaltsangabe

1: Introduction
2: Simple Shapes: Vision and Concepts
3: Basic Geometrical Knowledge
4: Geometrical Discovery by Visualizing
5: Diagrams in Geometric Proofs
6: Mental Number Lines
7: Visual Aspects of Calculation
8: General Theorems from Specific Images
9: Visual Thinking in Basic Analysis
10: Symbol Manipulation
11: Cognition of Structure
12: Mathematical Thinking: Algebraic v. Geometric?