ENS ÉDITIONS
onixsuitesupport@onixsuite.com
20170926T1440Z
eng
COM.ONIXSUITE.9782847889406
02
01
ENS Éditions
02
284788940X
03
9782847889406
15
9782847889406
00
EA
E107
10
01
02
Hors Collection
01
01
A singular mathematical promenade
1
A01
01
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>
1
01
eng
00
306
03
07
306
03
10
MAT000000
10
MAT027000
10
MAT038000
12
P
12
PB
12
U
24
ENS Internet -site
Sciences
01
05
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 some motivated undergraduates and some more advanced mathematicians will enjoy some of these panoramas.</p>
03
00
<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
00
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>
04
00
<p>Preface<br />
Road map<br />
Intersecting polynomials: Maxim Kontsevich <br />
Patterns and permutations: Donald Knuth <br />
Separable permutations<br />
Hipparchus and Schroeder<br />
De methodis serierum et fluxionum: Newton's method<br />
De methodis serierum et fluxionum: Newton's series<br />
Some formal algebra<br />
Gauss on algebraic curves<br />
Proof of Gauss's claim on singularities<br />
De seriebus divergentibus: Euler, Cauchy and Poincaré<br />
Convergence: Cauchy<br />
Moebius and his band<br />
Moebius necklaces<br />
Resolution of singularities<br />
The 3-sphere and the Hopf fibration<br />
The cusp and the trefoil<br />
Victor Puiseux, at last!<br />
Jack Milnor and his fibration<br />
The Hipparchus-Schroeder-Tamari-Stasheff associahedron<br />
Jim Stasheff and loop spaces<br />
Operads<br />
Singular operads<br />
Gauss is back: curves in the plane<br />
Analytic chord diagrams: an algorithm<br />
Analytic chord diagrams: interlace graphs<br />
Gauss and linking<br />
Kontsevich is back: universal invariant<br />
Postface<br />
Acknowledgments<br />
Image Credits</p>
01
00
03
02
01
D502
02
939
03
725
06
6a77fa41bda1f25f769b7f6bc0454d63
07
74011
http://catalogue-editions.ens-lyon.fr/resources/titles/29021100476860/images/c2ed25e9f9b76909fc54491a253a5066/HIGHQ/9782847889406.jpg
17
20170821T1303Z
02
01
D502
02
162
03
125
06
ddbb77c0c7869cef45441da3ea96abcb
07
9782
http://catalogue-editions.ens-lyon.fr/resources/titles/29021100476860/images/c2ed25e9f9b76909fc54491a253a5066/THUMBNAIL/9782847889406.jpg
17
20170821T1303Z
06
3052305680019
ENS Éditions
01
01
Dilicom
ENS Lyon
06
3052305680019
ENS Éditions
Lyon
FR
02
01
20171024
11
20171024
02
WORLD
00
02
01
GCOI
29021100476860
06
03
9782847889390
WORLD
00
02
06
3012262710000
CID - Fondation MSH Distribution
+33(0)153485630
+33(0)53482095
cid@msh-paris.fr
33
www.cid-difusion.fr
http://www.cid-difusion.fr
22
08
20171024T0000
01