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    1. Home
    2. eBooks & eLearning
    3. Spirals: From Theodorus to Chaos

    Spirals: From Theodorus to Chaos

    Posted By: arundhati
    Date: 14 Aug 2015 08:15:43
    Spirals: From Theodorus to Chaos

    Philip J. Davis, Walter Gautschi, Arieh Iserles, "Spirals: From Theodorus to Chaos"
    2001 | ISBN-10: 1568810105 | 256 pages | Djvu | 2 MB

    Contents
    Acknowledgements ix
    Part I: The Hedrick Lectures 1
    Foreword to The Hedrick Lectures 3
    Lecture I: What is a Spiral? Spirals Old and New 7
    Lecture II: Lessons from Euler's Ghost 33
    Lecture III: Theodorus Goes Wild 45
    Part II: Technical Developments 65
    Supplement A: The Spiral of Theodoras, Special
    Functions, and Numerical Analysis.
    By Walter Gautschi 67
    Supplement B: The Dynamics of the Theodoras Spiral.
    By Arieh Iserles 89
    Part III: Historical Supplements 127
    Foreword to Historical Supplements 129
    A. Plato: From Timaeus 131
    B. Plato: Prom Theaetetus 133
    C. Archimedes: Prom Peri Elikon 137
    D. Evangelista Torricelli: Prom De Infinitis Spiralibus 143
    E. Jean Bernoulli: Prom Opera Omnia 147
    F. James Joseph Sylvester: Prom Note on the Successive
    Involutes of a Circle 149
    G. Henri Poincare: Prom Memoire sur les Courbes 153
    H. Edmund Hlawka: Prom Gleichverteilung und
    Quadratwurzelschnecke 157
    Epilogue 169
    Bibliography 181
    Notes 193
    Index 233
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    UPWARDS