06
3012262710000
FMSH Diffusion
onixsuitesupport@onixsuite.com
20190616
eng
COM.ONIXSUITE.9782847889390
03
02
Le Comptoir des presses d'universités
01
SKU
121666-46
02
2847889396
03
9782847889390
15
9782847889390
10
BC
<TitleType>01</TitleType>
<TitleText textcase="01">A singular mathematical promenade</TitleText>
01
GCOI
27000100122000
01
GCOI
29021100476860
15
9782847889390 (livre broché)
1
A01
Étienne Ghys
Ghys, Étienne
Étienne
Ghys
<p>Étienne Ghys is a CNRS Senior Researcher at École normale supérieure de Lyon.</p>
1
01
eng
312
00
304
03
03
8
03
MAT000000
P
29
2012
3052
Mathématiques
10
MAT027000
10
MAT038000
12
PB
12
U
24
Internet
Mathématiques et géométrie
24
Internet
Sciences exactes
29
juillet 2013
3054
Analyse
93
PB
93
PBK
01
05
01
<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>
03
<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...
04
<p><strong>Preface</strong></p>
<p>Road map</p>
<p>Intersecting polynomials: Maxim Kontsevich 11 Patterns and permutations: Donald Knuth</p>
<p>Separable permutations</p>
<p>Hipparchus and Schroeder</p>
<p>De methodis serierum et fluxionum: Newton's method De methodis serierum et fluxionum: Newton's series 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 Poincare´ 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>
<p>The Hipparchus-Schroeder-Tamari-Stasheff associahedron 191 Jim Stasheff and loop spaces</p>
<p>Operads</p>
<p>Singular operads</p>
<p>Gauss is back: curves in the plane</p>
<p>Analytic chord diagrams: an algorithm</p>
<p>Analytic chord diagrams: interlace graphs</p>
<p>Gauss and linking</p>
<p>Kontsevich is back: universal invariant</p>
<p><strong>Postface</strong></p>
<p><strong>Acknowledgments</strong></p>
<p><strong>Image Credits</strong></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 motivated undergraduates and more advanced mathematicians will enjoy some of these panoramas.</p>
<p></p>
35
<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 prom
99
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