Pi (π) in Nature, Art, and Culture

Geometry as a Hermeneutic Science

AvMarcel Danesi

Inbunden, Engelska, 2020

Del 1 i serien Studies in Mathematics in the Arts and Humanities

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Beskrivning

In Pi (π) in Nature, Art, and Culture Marcel Danesi revisits the importance of π as a pattern in the structure of reality, fitting in with the Pythagorean view of Order. Pi has cropped up in formulas that describe natural and physical structures which, on the surface, seem to have nothing to do with a circle, but might harbor the archetype of circularity as a principle. Through π, this book thus revisits the implicit ancient Greek view that geometry was a 'hermeneutic science,' a discipline aiming to investigate the connectivity among numbers, shapes, and natural phenomena. It also examines its manifestations in aesthetic, symbolic and cultural structures, which point to an abiding fascination with the circle as an unconscious archetype. Hermeneutic geometry is ultimately about the exploration of the meanings of geometric-mathematical notions to science and human life.

Produktinformation

Utgivningsdatum:2020-12-10
Mått:155 x 235 x 15 mm
Vikt:369 g
Format:Inbunden
Språk:Engelska
Serie:Studies in Mathematics in the Arts and Humanities
Antal sidor:134
Förlag:Brill
ISBN:9789004433373

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Mer om författaren

Marcel Danesi, Ph.D. (1974), is Professor of Semiotics and Linguistic Anthropology at the University of Toronto. He has published extensively in the field of mathematical cognition and education, and founded a center at the Fields Institute for Research in Mathematical Sciences to study the relation between mathematics, the mind, and culture.

Recensioner i media

"Het voortreffelijke boek laat alle lezers op fascinerende wijze kennismaken met het wonder van π. Pi, of de verhouding van de omtrek van een cirkel tot de diameter, was een van de eerste irrationele getallen die werden ontdekt." [An exccellent book which introduces the author to the wonders of Pi.]-- Jan M. Broeders, Optische Fenomenen, newsletter 405, March 2021

Innehållsförteckning

Preface1. Discovery of π and Its Manifestations Prologue Discovery, Calculation, Proof Geometric Archetypes Manifestations of Archetypal Structure Geometry as a Hermeneutic Science Epilogue 2. Pi in Mathematics and the Physical WorldProloguePythagoreanismUniting Arithmetic and GeometryThe Planetary OrbitsNatural and Physical PhenomenaTopology, Non-Euclidean Geometry, and Fractal GeometryEpilogue3. Pi in Art and ArchitectureProloguePythagoreanism in ArtThe Circle in Art and SymbolismPi in ArtEpilogue4. Pi in Popular CulturePrologueMathematics in Popular CulturePi in Popular CulturePi-ManiaEpilogue5. Order and ChaosPrologueCohen’s DilemmaChaos TheoryOrder and ChaosEpilogueFinal RemarksReferencesIndex