Lumen Naturae

Visions of Space in Art and Mathematics
1. Auflage 2017
ISBN: 978-3-319-13095-8
Verlag: Springer

Buch, Englisch, 250 Seiten, Book, Format (B × H): 155 mm x 235 mm

Reihe: Mathematics, Culture, and the Arts

Written by a scholar recognized for important and diverse contributions to mathematical physics, geometry and number theory, this book is a erudite and brilliantly original exploration of parallel developments in (mostly modern) art, mathematics, and physics through the study of topics such as the still-life genre, physical and artistic visions of nothingness, the mathematical concept of space, the geometry of prime numbers, particle physics and cosmology, and artistic and mathematical encounters with randomness. A final chapter shows how the language of art, especially surrealist and dadaist art, can help raise awareness and stimulate debate around some darker aspects of the mathematical profession and some of the psychological difficulties associated to the work of mathematical research. While the intended audience does not necessarily consist of readers with a scientific background, the book will be organized in such a way that it can be read at two different levels, with some chapters that require no prior knowledge of mathematics, and some others that explore more advanced material. All key mathematical notions will be introduced and explained.

Zielgruppe

Popular/general

Autoren/Hrsg.

Marcolli, Matilde

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Physik: Sachbuch
• Mathematik | Informatik Mathematik Mathematik Allgemein Populäre Darstellungen der Mathematik
• Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Populärwissenschaftliche Werke

Inhaltsverzeichnis

1 Still Life as a Model of Space-Time.- 2 Meaningful Nothingness: the Void in Modern Art and Modern Science.- 3 Notions of Space in Mathematics.- 4 The Geometry and Physics of Numbers.- 5 Geometries of Particle Physics.- 6 Shapes in the Cosmos.- 7 Structures of Randomness.- 8 Mathematics and Violence.

Über Autor(innen)

Matilde Marcolli is Professor of Mathematics at the California Institute of Technology and Distinguished Visiting Research Chair at the Perimeter Institute for Theoretical Physics. She has published 4 monographs and over 70 research articles in mathematical physics, noncommutative geometry, algebraic geometry, number theory, operator algebras, and topology. In recognition of her scientific contributions, she was an invited speaker at the International Congress of Mathematicians (2010) and the European Congress of Mathematics (2008).