Mathematics and the Aesthetic

This collection of essays explores the ancient affinity between the mathematical and the aesthetic, focusing on fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine ways in which the aesthetic is ever-present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

The essays in this book explore the ancient affinity between the mathematical and the aesthetic, focusing on the fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine the ways in which the aesthetic is ever present in mathematical thinking and contributes to the growth and value of mathematical knowledge.

Focuses on affinities between mathematics and the arts Articulates common strains between the mathematical and the aesthetic Shows how the fundamentals are deeply related to human sense-making and learning Offers new possibilities for mathematics education

Contenu
A Historical Gaze at the Mathematical Aesthetic.- A Historical Gaze at the Mathematical Aesthetic.- The Mathematician's Art.- Aesthetics for the Working Mathematician.- Beauty and Truth in Mathematics.- Experiencing Meanings in Geometry.- A Sense for Mathematics.- The Aesthetic Sensibilities of Mathematicians.- The Meaning of Pattern.- Mathematics, Aesthetics and Being Human.- Mathematical Agency.- Mechanism and Magic in the Psychology of Dynamic Geometry.- Drawing on the Image in Mathematics and Art.- Sensible Objects.- Aesthetics and the 'Mathematical Mind'.