دانلود کتاب Pi (π) in Nature, Art, and Culture. Geometry as a Hermeneutic Science

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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