Ruxton, Colegrave Experimental design for the life sciences pdf

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  Ruxton, Colegrave Experimental design for the life sciences pdf
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  *******************************************************************************<br /> Mathematical Mountaintops<br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 8,571,269 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> In Mathematical Mountaintops, John Casti brilliantly recreates the solutions to <br /> the five greatest mathematical problems of all time: The Four-Color Map Problem, <br /> Fermat's Last Theorem, The Continuum Hypothesis, Kepler's Conjecture, and <br /> Hilbert's Tenth Problem.<br /> <br /> Casti recounts these mathematical quests with great verve. In retelling the <br /> story of Hilbert's Tenth Problem, for instance, he sweeps from Britain to New <br /> York to Leningrad and introduces us to such luminaries as Alan Turing, before <br /> turning to the young Soviet researcher who credited his breakthrough to a 700-<br /> year-old Italian problem about rabbits. He describes how Fermat's Last Theorem <br /> tantalized generations of scientists, who tried for three centuries to answer <br /> it, and relates how the final solution was greeted with the unprecedented front<br /> -page headlines, prize money, and international celebration--before a flaw (soon <br /> resolved) turned up. Casti's account of the struggle to solve Kepler's <br /> Conjecture wittily reveals how the &quot;proof of the obvious&quot; sometimes eludes us <br /> for centuries. And his discussion of The Continuum Hypothesis movingly portrays <br /> the tragic figure of Georg Cantor, the troubled genius who created the first <br /> truly original mathematics since the Greeks, yet died insane in an institution. <br /> Casti closes with a preview of the &quot;Magnificent Seven&quot;--the greatest unsolved <br /> mathematical mysteries, each of which carries a million-dollar bounty from the <br /> Clay Mathematics Institute--including the Poincare Conjecture, the Yang-Mills <br /> Existence and Mass Gap (why physicists can't isolate quarks), and the Reimann <br /> Hypothesis (&quot;the granddaddy of all mathematical mysteries&quot;).<br /> <br /> Mathematical Mountaintops is a brilliant account of mathematicians in action--<br /> seeking hidden patterns and structures, forging elegant chains of reasoning--as <br /> they struggle with problems that challenged the greatest minds for decades, if <br /> not centuries.<br /> <br /> Table of Contents<br /> <br /> Prologue: The Art of the Problem 1<br /> 1 Hilbert's Tenth Problem 11<br /> 2 The Four-Color Problem 43<br /> 3 The Continuum Hypothesis 77<br /> 4 The Kepler Conjecture 109<br /> 5 Fermat's Last Theorem 137<br /> Epilogue: The Magnificent Seven 163<br /> Suggested Readings 169<br /> Index 178<br /> <br /> Product Details<br /> <br /> * ISBN: 0195141717<br /> * ISBN-13: 9780195141719<br /> * Format: Hardcover, 196pp<br /> * Publisher: Oxford University Press<br /> * Pub. Date: October 2001<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader<br />
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