## Mathematics: Frontiers and PerspectivesV. I. Arnold, International Mathematical Union This remarkable book is a celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the volume was born as part of the activities observing the World Mathematical Year 2000. The volume consists of 30 articles written by some of the most influential mathematicians of our time. Authors of 15 contributions were recognized in various years by the IMU as recipients of the Fields Medal, from K. F. Roth (Fields Medalist, 1958) to W. T. Gowers (Fields Medalist, 1998). The articles offer valuable reflections about the amazing mathematical progress we have witnessed in this century and insightful speculations about the possible development of mathematics over the next century. Some articles formulate important problems, challenging future mathematicians. Others pay explicit homage to the famous set of Hilbert Problems posed one hundred years ago, giving enlightening commentary. Yet other papers offer a deeply personal perspective, allowing singular insight into the minds and hearts of people doing mathematics today. Mathematics: Frontiers and Perspectives is a unique volume that pertains to a broad mathematical audience of various backgrounds and levels of interest. It offers readers true and unequaled insight into the wonderful world of mathematics at this important juncture: the turn of the millennium. The work is one of those rare volumes that can be browsed, and if you do simply browse through it, you get a wonderful sense of mathematics today. Yet it also can be intensely studied on a detailed technical level for gaining insight into some of the great problems on which mathematicians are currently working. Individual members of mathematical societies of the IMU member countries can purchase this volume at the AMS member price when buying directly from the AMS. |

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User Review - fpagan - LibraryThing29 expert takes on the state of mathematics at the turn of the millennium, many of them impenetrably technical but some readable by me. Read full review

### Contents

II | 1 |

III | 13 |

IV | 33 |

V | 35 |

VI | 55 |

VII | 65 |

VIII | 79 |

IX | 93 |

XVII | 197 |

XVIII | 219 |

XIX | 235 |

XX | 251 |

XXI | 261 |

XXII | 271 |

XXIII | 295 |

XXIV | 321 |

X | 117 |

XI | 121 |

XII | 137 |

XIII | 153 |

XIV | 161 |

XV | 175 |

XVI | 189 |

XXV | 329 |

XXVI | 343 |

XXVII | 353 |

XXVIII | 403 |

XXIX | 417 |

XXX | 433 |

### Common terms and phrases

### References to this book

### References from web pages

JSTOR: Mathematics: Frontiers and Perspectives

Mathematics: Frontiers and Perspectives. Edited by V. Arnold, M. Atiyah, P. Lax, and B. Mazur. American Mathematical Society, 2000, xi + 459 pages, $49. ...

links.jstor.org/ sici?sici=0002-9890(200104)108%3A4%3C386%3AMFAP%3E2.0.CO%3B2-0

OUP: UK General Catalogue

Mathematics: Frontiers and Perspectives is a unique volume that pertains to a broad mathematical audience of various backgrounds and levels of interest. ...

www.oup.com/ uk/ catalogue/ ?ci=9780821820704

Bulletin of the American Mathematical Society

P. Sarnak, Some problems in number theory, analysis and mathematical physics, Mathematics: Frontiers and Perspectives, Amer. Math. ...

www.ams.org/ bull/ 2006-43-01/ S0273-0979-05-01069-4/ home.html

Arnold’s Problems by Vladimir I. Arnold (ed.) Springer-Verlag **...**

Mathematics: frontiers and perspectives, 403–416, Amer. Math. Soc., Providence, RI, 2000. [3] M. Audin, P. Iglesias. Questions `a vi Arnold. ...

www.math.psu.edu/ tabachni/ prints/ Arnoldpr.pdf

Paul Erdős - Wikipedia, the free encyclopedia

Joel Spencer, Prove and Conjecture!, a review of Mathematics: Frontiers and Perspectives. American Scientist, Volume 88, No. 6 November-December 2000 ...

en.wikipedia.org/ wiki/ Paul_Erd%C5%91s

SMF - Vie de la société - Rencontres - Colloque Franco-Finlandais **...**

The Dawning of the Age of Stochasticity, in V. Arnold, M. Atiyah, P. Lax and B. Mazur (eds) Mathematics : Frontiers and Perspectives. AMS. [2] la Steen (ed. ...

smf.emath.fr/ VieSociete/ Rencontres/ France-Finlande-2005/ ArtigueGB.html

Книги ФМШ - учебные пособия - купить книги в интернет-магазине **...**

Mathematics: Frontiers and Perspectives. Paperback - Dec 2000 Buy from Amazon.com. Спасибо, что покупаете книги по ссылкам с нашего сайта! ...

www.mathbook.ru/ show.html?id=583

livre mathematics : frontiers and perspectives (hardback **...**

Mathematics : frontiers and perspectives (Hardback). Auteur(s) : ARNOLD Date de parution: 03-2000 Langue : ANGLAIS 460p. Etat : Disponible chez l'éditeur ...

www.lavoisier.fr/ notice/ frCFOOLO3JSRM3SO.html

Zentralblatt MATH Database 1931 – 2008 1050.37012

et al., Mathematics: frontiers and perspectives, Providence, Am. Math. Soc., 161-174 (2000; Zbl 0952.22005)]. Ranjeet Sehmi (Chandigarh) ...

zmath.impa.br/ cgi-bin/ zmen/ ZMATH/ en/ quick.html?first=1&

Publications of Continuing Interest, Volume 48, Number 6

642. N. OTICES OF THE. AMS. V. OLUME. 48, N. UMBER. 6. To order, call: 1-800-321-4AMS (4267), in the us and Canada, or 1-401-455-4000;. fax: 1-401-455-4046; ...

www.ams.org/ notices/ 200106/ cont-interest-jun-jul01.pdf