The Enigma of the Spiral Waves delves further into the workings of the number system with an inventive, equation-free approach to communicating advanced mathematical ideas, including the notorious Riemann Hypothesis, widely recognised as the Holy Grail of mathematics.
A Re-Introduction |
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1 | (4) |
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16 Number Systems within number systems |
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5 | (24) |
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Within Number systems within number systems... |
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29 | (14) |
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Bernhard Riemann's big discovery |
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43 | (24) |
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19 The Riemann zeta zeros |
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67 | (14) |
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A Most Mysterious splatter |
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20 Zeta Zeros and spiral waves |
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81 | (18) |
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And exactly how they're related |
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21 The Primes and the zeros |
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99 | (20) |
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Two Sides of a coin (but what's the coin?) |
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22 Philosophical Interlude |
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119 | (20) |
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Phew! put the kettle on... |
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23 The Riemann Hypothesis |
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139 | (12) |
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What Everyone seems to want to know about |
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24 Reformulations of the Riemann Hypothesis |
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151 | (18) |
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Other Ways of saying the same thing |
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25 The Significance of the Riemann Hypothesis |
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169 | (20) |
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Does this really matter and if so, why? |
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26 What's this really about? |
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189 | (8) |
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Do you really expect me to answer that question? |
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27 A Spectrum of vibrations |
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197 | (15) |
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The Riemann zeros are vibrations... but of what? |
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Notes |
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212 | (14) |
Appendices 10--14 |
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226 | |
Matthew Watkins was born in London in 1970. He trained to be a research mathematician, completing his PhD in 1994, but then left academia to travel and pursue other interests. He has stayed on the periphery of academic mathematics, having been an honorary research fellow at Exeter University since 2000.