ENS ÉDITIONS
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20180819
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COM.ONIXSUITE.9782847889390
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ENS Éditions
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2847889396
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9782847889390
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9782847889390
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<TitleType>01</TitleType>
<TitleText>Hors Collection</TitleText>
<TitleType>01</TitleType>
<TitleText textcase="01">A singular mathematical promenade</TitleText>
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GCOI
29021100476860
1
A01
Étienne Ghys
Ghys, Étienne
Étienne
Ghys
<p>Étienne Ghys is a CNRS Senior Researcher at École normale supérieure de Lyon.</p>
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eng
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312
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MAT000000
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MAT027000
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MAT038000
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PB
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ENS Internet -site
Histoire des sciences
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ENS Internet -site
Sciences
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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.
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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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<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>
02
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.
04
<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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http://catalogue-editions.ens-lyon.fr/resources/titles/29021100476860/extras/Asingularmathematicalpromenade_PDF_LIENS.pdf
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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 motivated undergraduates and more advanced mathematicians will enjoy some of these panoramas.</p>
<p></p>
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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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FR
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http://catalogue-editions.ens-lyon.fr/resources/titles/29021100476860/images/f6876a9f998f6472cc26708e27444456/HIGHQ/9782847889390.jpg
20170821
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20170821
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http://catalogue-editions.ens-lyon.fr/resources/titles/29021100476860/extras/480_Ghys_avisparution_mail.pdf
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http://catalogue-editions.ens-lyon.fr/en/livre/?GCOI=29021100476860
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ENS Éditions
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3052305680019
ENS Éditions
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