{"product_id":"pi-p-in-nature-art-and-culture-geometry-as-a-hermeneutic-science-9789004433373","title":"Pi (π) in Nature, Art, and Culture: Geometry as a Hermeneutic Science","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eIn 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003e\"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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface    1. 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 World  Prologue  Pythagoreanism  Uniting Arithmetic and Geometry  The Planetary Orbits  Natural and Physical Phenomena  Topology, Non-Euclidean Geometry, and Fractal Geometry  Epilogue    3. Pi in Art and Architecture  Prologue  Pythagoreanism in Art  The Circle in Art and Symbolism  Pi in Art  Epilogue    4. Pi in Popular Culture  Prologue  Mathematics in Popular Culture  Pi in Popular Culture  Pi-Mania  Epilogue    5. Order and Chaos  Prologue  Cohen’s Dilemma  Chaos Theory  Order and Chaos  Epilogue  Final Remarks    References  Index","brand":"Brill","offers":[{"title":"Default Title","offer_id":53210803208535,"sku":"9789004433373","price":107.2,"currency_code":"GBP","in_stock":false}],"url":"https:\/\/bookcurl.com\/products\/pi-p-in-nature-art-and-culture-geometry-as-a-hermeneutic-science-9789004433373","provider":"Book Curl","version":"1.0","type":"link"}