Sinclair N., Higginson W. Mathematics and the Aesthetic: New Approaches to an Ancient Affinity

Springer, 2006. — 298 p.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.A Historical Gaze at the Mathematical AestheticThe Mathematician’s Art
Aesthetics for the Working Mathematician
Beauty and Truth in Mathematics
Experiencing Meanings in GeometryA Sense for Mathematics
The Aesthetic Sensibilities of Mathematicians
The Meaning of Pattern
Mathematics, Aesthetics and Being HumanMathematical 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’