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Pi (π) in Nature, Art, and Culture : Geometry As a Hermeneutic Science.

Danesi, Marcel.

Pi (π) in Nature, Art, and Culture : Geometry As a Hermeneutic Science. - 1st ed. - 1 online resource (144 pages) - Studies in Mathematics in the Arts and Humanities Series ; v.1 . - Studies in Mathematics in the Arts and Humanities Series .

Half Title -- Series Information -- Title Page -- Copyright Page -- Contents -- Preface -- Chapter 1 Discovery of π and Its Manifestations -- 1 Prologue -- 2 Discovery, Calculation, Proof -- 3 Geometric Archetypes -- 4 Manifestations of Archetypal Structure -- 5 Geometry as a Hermeneutic Science -- 6 Epilogue -- Chapter 2 Pi in Mathematics and the Physical World -- 1 Prologue -- 2 Pythagoreanism -- 3 Uniting Arithmetic and Geometry -- 4 The Planetary Orbits -- 5 Natural and Physical Phenomena -- 6 Topology, Non-Euclidean Geometry, and Fractal Geometry -- 7 Epilogue -- Chapter 3 Pi in Art and Architecture -- 1 Prologue -- 2 Pythagoreanism in Art -- 3 The Circle in Art and Symbolism -- 4 Pi in Art -- 5 Epilogue -- Chapter 4 Pi in Popular Culture -- 1 Prologue -- 2 Mathematics in Popular Culture -- 3 Pi in Popular Culture -- 4 Pi-Mania -- 5 Epilogue -- Chapter 5 Order and Chaos -- 1 Prologue -- 2 Cohen's Dilemma -- 3 Chaos Theory -- 4 Order and Chaos -- 5 Epilogue -- 6 Final Remarks -- References -- Index.

In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.

9789004433397


Geometry.


Electronic books.

QA445 .D36 2021

516.22

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