ENS ÉDITIONS
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20171120T2117Z
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COM.ONIXSUITE.9782847889406
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ENS Éditions
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284788940X
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9782847889406
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9782847889406
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EA
E107 10
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Hors Collection
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A singular mathematical promenade
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Onixsuite Contributor ID
7130
Étienne Ghys
Ghys, Étienne
Étienne
Ghys
<p>Étienne Ghys is a CNRS Senior Researcher at École normale supérieure de Lyon.</p>
<p>Étienne Ghys is a CNRS Senior Researcher at École normale supérieure de Lyon.</p>
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ENS Internet -site
Histoire des sciences
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ENS Internet -site
Sciences
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<p>A stroll in the mathematical world. This is neither an elementary introduction to the theory of singularities, nor a specialized treatise containing many new theorems. The purpose of this little book is to invite the reader on a mathematical promenade. We pay a visit to Hipparchus, Newton and Gauss, but also to many contemporary mathematicians. We play with a bit of algebra, topology, geometry, complex analysis, combinatorics, and computer science. Hopefully some motivated undergraduates and some more advanced mathematicians will enjoy some of these panoramas.</p>
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The purpose of this little book is to invite the reader on a mathematical promenade. We pay a visit to Hipparchus, Newton and Gauss, but also to many contemporary mathematicians. We play with a bit of algebra, topology, geometry, complex analysis, combinatorics, and computer science.
03
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<p>A stroll in the mathematical world. This is neither an elementary introduction to the theory of singularities, nor a specialized treatise containing many new theorems. The purpose of this little book is to invite the reader on a mathematical promenade. We pay a visit to Hipparchus, Newton and Gauss, but also to many contemporary mathematicians. We play with a bit of algebra, topology, geometry, complex analysis, combinatorics, and computer science. Hopefully some motivated undergraduates and some more advanced mathematicians will enjoy some of these panoramas.</p>
<p></p>
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The purpose of this little book is to invite the reader on a mathematical promenade. We pay a visit to Hipparchus, Newton and Gauss, but also to many contemporary mathematicians. We play with a bit of algebra, topology, geometry, complex analysis, combinatorics, and computer science.
03
02
<p>A stroll in the mathematical world. This is neither an elementary introduction to the theory of singularities, nor a specialized treatise containing many new theorems. The purpose of this little book is to invite the reader on a mathematical promenade. We pay a visit to Hipparchus, Newton and Gauss, but also to many contemporary mathematicians. We play with a bit of algebra, topology, geometry, complex analysis, combinatorics, and computer science. Hopefully motivated undergraduates and more advanced mathematicians will enjoy some of these panoramas.</p>
<p> </p>
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<p><strong>Preface</strong></p>
<p>Road map</p>
<p>Intersecting polynomials: Maxim Kontsevich</p>
<p>Patterns and permutations: Donald Knuth</p>
<p>Separable permutations</p>
<p>Hipparchus and Schroeder</p>
<p>De methodis serierum et fluxionum: Newton's method</p>
<p>De methodis serierum et fluxionum: Newton's series</p>
<p>Some formal algebra</p>
<p>Gauss on algebraic curves</p>
<p>Proof of Gauss's claim on singularities</p>
<p>De seriebus divergentibus : Euler, Cauchy and Poincaré</p>
<p>Convergence : Cauchy</p>
<p>Moebius and his band</p>
<p>Moebius necklaces</p>
<p>Resolution of singularities</p>
<p>The 3-sphere and the Hopf fibration</p>
<p>The cusp and the trefoil</p>
<p>Victor Puiseux, at last!</p>
<p>Jack Milnor and his fibration</p>
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http://catalogue-editions.ens-lyon.fr/resources/titles/29021100476860/extras/480_Ghys_avisparution_mail.pdf
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A singular mathematical promenade // PDF
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http://catalogue-editions.ens-lyon.fr/resources/titles/29021100476860/extras/Asingularmathematicalpromenade_PDF_LIENS.pdf
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ENS Éditions
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Dilicom
ENS Lyon
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3052305680019
ENS Éditions
Lyon
FR
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20171024
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20171024
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WORLD
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29021100476860
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9782847889390
WORLD
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