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Freedom in Mathematics(1st Edition)
by Pierre Cartier, Jean Dhombres, Gerhard Heinzmann, Cédric Villani
Hardcover, 117 Pages, Published 2016 by Springer
ISBN-13: 978-81-322-2786-1, ISBN: 81-322-2786-7

"The book confronts the points of view of two mathematicians: Pierre Cartier who is one of the pillars of the famous Bourbaki group and Cédric Villani, one of the most brilliant of his generation, who received the Fields Medal in 2010. Mathematician and historian of science Jean Dhombres and philosopher of science Gerhard Heinzmann, both specialists in mathematics, engage in a fruitful dialogue with the two mathematicians, likely to lead ..."






Freedom in Mathematics
by Pierre Cartier, Jean Dhombres, Gerhard Heinzmann, Cédric Villani
117 Pages, Published 2016 by Springer
ISBN-13: 978-81-322-2788-5, ISBN: 81-322-2788-3

"Gerhard Heinzmann: Indeed, there are initial conditions that have to be satisfied, but which rarely are. Hence there is initially a sham mathematization which gives the impression that the entire thing is sound. Cédric Villani: It is true for opinion polls, but even more true in the fields of finance, or climate. Jean Dhombres: There are some essential things that should become very early part of the mathematical background of stud ..."






Mathématiques en liberté
Liberté, réalité, responsabilité
by Pierre Cartier, Jean Dhombres, Gerhard Heinzmann, Cédric Villani, Sylvestre Huet
Paperback, 256 Pages, Published 2012 by Editions La Ville Brûle
ISBN-13: 978-2-36012-026-0, ISBN: 2-36012-026-3

"Les mathématiques sont bien plus qu’une science, tant elles ont acquis un statut central et tout à fait particulier. Elles sont à la fois un langage permettant d’articuler la réalité et un outil qui façonne le réel, et jouent à ce titre un rôle clé dans le développement des sciences de la nature, des sciences humaines et sociales, et de l’industrie. Leur position centrale dans les mécanismes de sélection et de reproduction qui caractéri ..."






The Grothendieck Festschrift, Volume I
a Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
by Pierre Cartier, Yu I. Manin, Nicholas M. Katz, G. Laumon, Luc Illusie
Published 2014
ISBN-13: 978-1-283-25077-1, ISBN: 1-283-25077-2






Trait Des P Trifications
(Paperback)
by Louis Bourguet, Pierre Cartier
Paperback, 406 Pages, Published 2012 by Saraswati Press
ISBN-13: 978-1-249-65119-2, ISBN: 1-249-65119-0

"This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of pr ..."






Trait E Des Petrifications
Avec Figures
by Louis Bourguet, Pierre Cartier
Paperback, 418 Pages, Published 2012 by Saraswati Press
ISBN-13: 978-1-286-97964-8, ISBN: 1-286-97964-1

"This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of pr ..."






Functional Integration(Reprint)
Action and Symmetries (Cambridge Monographs on Mathematical Physics)
by Pierre Cartier, Cecile Dewitt-Morette
Paperback, 480 Pages, Published 2010 by Cambridge University Press
ISBN-13: 978-0-521-14357-8, ISBN: 0-521-14357-8

"Functional integration successfully entered physics as path integrals in the 1942 Ph.D. dissertation of Richard P. Feynman, but it made no sense at all as a mathematical definition. Cartier and DeWitt-Morette have created, in this book, a fresh approach to functional integration. The book is self-contained: mathematical ideas are introduced, developed, generalised and applied. In the authors' hands, functional integration is shown to be ..."






Cambridge Monographs on Mathematical Physics Ser.
Functional Integration: Action and Symmetries
by Pierre Cartier, Cecile Dewitte-Morette
Published 2010
ISBN-13: 978-1-280-74940-7, ISBN: 1-280-74940-7






Modern Birkhäuser Classics Ser.
The Grothendieck Festschrift Vol. I : A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
by Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gérard Laumon, Yuri I. Manin, Kenneth A. Ribet, A. Grothendieck
Hardcover, 3 Pages, Published 2009 by Birkhauser
ISBN-13: 978-0-8176-4574-8, ISBN: 0-8176-4574-8

"In his compelling memoir "Récoltes et Semailles: Réflexions et témoignages sur un passé de mathématicien" [56], Grothendieck discusses at length his life, his work, his relations with and his views on the mathematical community. One of Grothendieck's most striking images there is of mathematics as an edifice under construction, and of himself as a foremanarchitect. He is deeply critical of what happened on the worksite after he lef ..."






Cambridge Monographs on Mathematical Physics Ser.
Functional Integration : Action and Symmetries
by Pierre Cartier, Cecile Dewitt-Morette
Published 2009 by Cambridge University Press
ISBN-13: 978-0-511-53506-2, ISBN: 0-511-53506-6






The Future of Identity in the Information Society(1st Edition)
Proceedings of the Third IFIP WG 9.2, 9.6/11.6, 11.7/FIDIS International Summer School on the ... 2007 (Collected Works of Claude Chevalley)
by Claude Chevalley, Pierre Cartier, Catherine Chevalley, Simone Fischer-Hübner, Penny Duquenoy, Albin Zuccato
Paperback, 484 Pages, Published 2008 by Springer
ISBN-13: 978-0-387-57063-1, ISBN: 0-387-57063-2

"This volume is the first in a projected series devoted to the mathematical and philosophical works of the late Claude Chevalley. It covers the main contributions by the author to the theory of spinors. Since its appearance in 1954, "The Algebraic Theory of Spinors" has been a much sought after reference. It presents the whole story of one subject in a concise and especially clear manner. The reprint of the book is supplemented by a seri ..."






Modern Birkhäuser Classics Ser.
The Grothendieck Festschrift Vol. III : A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
by Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gérard Laumon, Yuri I. Manin, Kenneth A. Ribet, A. Grothendieck
Hardcover, 3 Pages, Published 2007 by Birkhauser
ISBN-13: 978-0-8176-4576-2, ISBN: 0-8176-4576-4

"A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gérard Laumon, Yuri I. Manin, Kenneth A. Ribet. H = H(q, a) = {x € L | q(x) = a} the corresponding (affine) hyperplane; the hyperplane H(q, a) is a vector subspace of L if and only if a = 0. Theorem 3. Let S C L be a G-orbit which is not contained in H, i.e., S\H : = {x e S c L | q(x) ;é a} is non- ..."






Functional Integration(1st Edition)
Action and Symmetries (Cambridge Monographs on Mathematical Physics)
by Pierre Cartier, Cecile Dewitt-Morette, Cecile Dewitte-Morette
Hardcover, 476 Pages, Published 2007 by Cambridge University Press
ISBN-13: 978-0-521-86696-5, ISBN: 0-521-86696-0

"Functional integration successfully entered physics as path integrals in the 1942 Ph.D. dissertation of Richard P. Feynman, but it made no sense at all as a mathematical definition. Cartier and DeWitt-Morette have created, in this book, a fresh approach to functional integration. The book is self-contained: mathematical ideas are introduced, developed, generalised and applied. In the authors' hands, functional integration is shown to be ..."






Modern Birkhäuser Classics Ser.
The Grothendieck Festschrift Vol. 2 : A Collection of Articles Written in Honor of the 60th Birthday of Alexander Grothendieck
by Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gérard Laumon, Yuri I. Manin, Kenneth A. Ribet, A. Grothendieck
564 Pages, Published 2007 by Springer Science & Business Media
ISBN-13: 978-0-8176-4575-5, ISBN: 0-8176-4575-6

"... of Alexander Grothendieck Pierre Cartier, Luc Illusie, Nicholas M. Katz, Gérard Laumon, Yuri I. Manin, Kenneth A. Ribet ... et de l'isomorphisme limHoms_sr(Jn, G) ~ G(X), n pour tout S'-schéma en groupes commutatif et lisse G. L'énoncé de ..."






Cambridge Monographs on Mathematical Physics Ser.
Functional Integration : Action and Symmetries
by Pierre Cartier, Cecile Dewitt-Morette
Published 2007
ISBN-13: 978-0-511-25832-9, ISBN: 0-511-25832-1






Cambridge Monographs on Mathematical Physics Ser.
Functional Integration : Action and Symmetries
by Pierre Cartier, Cécile Dewitt-Morette
Published 2006
ISBN-13: 978-0-511-26029-2, ISBN: 0-511-26029-6






Functional Integration
Action and Symmetries
by Pierre Cartier, Cecile Dewitte-Morette
Published 2006
ISBN-13: 978-0-511-26142-8, ISBN: 0-511-26142-X






Functional Integration
Action and Symmetries
by Pierre Cartier, Cecile Dewitt-Morette
456 Pages, Published 2006 by Cambridge University Press
ISBN-13: 978-1-139-46288-4, ISBN: 1-139-46288-1

"Michael Berry [15] gives an illuminating example from the study of scent weakly diffusing in random winds. Berry works out the probability that the pheromones emitted by a female moth reach a male moth, given a realistic diffusion constant D. Diffusion alone cannot account for males picking up scents from hundreds of meters away. In fact, females emit pheromones only when there is a wind so that diffusion is aided by convection. Th ..."






Functional Integration
Basics and Applications (Nato Science Series B: (closed))
by Antoine Folacci, Pierre Cartier, Cécile Dewitt-Morette
Hardcover, 431 Pages, Published 1997 by Springer
ISBN-13: 978-0-306-45617-6, ISBN: 0-306-45617-6

"The program of the Institute covered several aspects of functional integration -from a robust mathematical foundation to many applications, heuristic and rigorous, in mathematics, physics, and chemistry. It included analytic and numerical computational techniques. One of the goals was to encourage cross-fertilization between these various aspects and disciplines. The first week was focused on quantum and classical systems with a finite ..."






The Verdier Memorial Conference on Integrable Systems(1st Edition)
Actes du Colloque International de Luminy (1991) (Progress in Mathematics)
by Pierre Cartier, Yvette Kosmann-Schwarzbach, Olivier Babelon, Jean Louis Verdier, Verdier Memorial Conference, P. Cartier, V. Babelon, Y. Kosmann-Schwarzbach
Hardcover, 366 Pages, Published 1993 by Birkhäuser Boston
ISBN-13: 978-0-8176-3653-1, ISBN: 0-8176-3653-6

"This book contains fifteen articles by eminent specialists in the theory of completely integrable systems, bringing together the diverse approaches to classical and quantum integrable systems and covering the principal current research developments. In the first part of the book, which contains seven papers, the emphasis is on the algebro-geometric methods and the tau-functions. Essential use of Riemann surfaces and their theta function ..."



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