Simplicity: Ideals of Practice in Mathemat...

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Beschreibung

To find "criteria of simplicity" was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. This was an inspiration for a conference, titled the same as this volume, that took place at the Graduate Center of the City University of New York in April of 2013. This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.

Über den Autor

Roman Kossak's research is in model theory of nonstandard models of formal arithmetic. For over 30 years he has worked at the City University of New York, where he teaches developmental courses at Bronx Community College and mathematical logic and model theory at the Graduate Center. His other interests include phenomenology and interactions between mathematics and the arts.

Philip Ording is a member of the mathematics faculty at Sarah Lawrence College in Bronxville, New York. He received a PhD in Mathematics from Columbia University in 2006. While a graduate student of topology and geometry he began working as a mathematics consultant in art and architecture studios in New York. Since then he has published essays, curated exhibitions, and lectured on the intersection of mathematics and the arts.

Zusammenfassung

Probes mathematical aspects of the phenomenon of simplicity as the core practice of mathematics and artwork

Attempts to build a bridge across the cultures of art and mathematics through simplicity

Appeals to a broad audience, including readers of art, art history, philosophy, and science, in addition to the general mathematics readership

Includes supplementary material: [...]

Inhaltsverzeichnis

Inner Simplicity vs. Outer Simplicity (E. Ghys).- The Complexity of Simplicity: The Inner Structure of the Artistic Image (J. Pallasmaa).- Thinking in Four Dimensions (D. McDuff).- Kant, Co-Production, Actuality, and Pedestrian Space: Remarks on the Philosophical Writings of Fred Sandback (J. Kennedy).- What Simplicity Is Not (M. Malliaris).- Constructing the Simples (C. Franks).- The Simplicity Postulate (M. Senechal).- The Experience of Meaning (J. Zwicky).- Math Currents in the Brain (M. Gromov).- bc, becuz, because ASCII (K. Shepherd).- "Abstract, Directly Experienced, Highly Simplified, and Self-Contained": Discourses of Simplification, Disorientation, and Process in the Arts (R. Stewen).- Remarks on Simple Proofs (R. Iemhoff).- The Fluidity of Simplicity (J. Floyd).- "Mathematical Typography" (After Donald Knuth, 1978) (D. Sinister).- Simplicity Via Complexity (A. Villaveces).- On the Alleged Simplicity of Impure Proof (A. Arana).- Minimalism and Foundations (S. Gerhardt).- Economy of Thought: A Neglected Principle of Mathematics Education (A. Borovik).- Simplicity is the Point (D. Sullivan).- Appendix A: Simplicity, in Mathematics and in Art (A. Jackson).- Appendix B: Conference Program.- Index.

Details

Erscheinungsjahr:	2018
Fachbereich:	Allgemeines
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Reihe:	Mathematics, Culture, and the Arts
Inhalt:	xx 305 S. 25 s/w Illustr. 1 farbige Illustr. 305 p. 26 illus. 1 illus. in color.
ISBN-13:	9783319851402
ISBN-10:	3319851403
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Redaktion:	Ording, Philip Kossak, Roman
Herausgeber:	Roman Kossak/Philip Ording
Auflage:	Softcover reprint of the original 1st ed. 2017
Hersteller:	Springer International Publishing Springer International Publishing AG Mathematics, Culture, and the Arts
Maße:	235 x 155 x 18 mm
Von/Mit:	Philip Ording (u. a.)
Erscheinungsdatum:	09.09.2018
Gewicht:	0,499 kg

Artikel-ID: 115377363