Pi (?) in Nature, Art, and Culture

Preface



1. Discovery of ? 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

Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.

• História da Matemática
• Filosofia da Matemátuca
• Sociedade e cultura: geral
• Matemática aplicada
• Impacto da ciência e da tecnologia na sociedade
• Ciência popular

Day; Greece; Greek; Hermeneutic; Order; Pi; Pythagoras; Pythagorean; aesthetic; ancient; archetype; circle; circularity; cultural; culture; geometric; geometric-mathematical; geometry; hermeneutics; human; life; math; mathematical; mathematics; meanings; mystery; natural; pattern; physical; reality; science; structure; structures; symbolic; symbolism; theory; &#960