Ideals of Proof 2008 Recordings
Click here for homepage of Ideals of Proof program
The Ideals of Proof Program is an interdisciplinary project supported by the Agence Nationale de la Recherche, together with its associated Chair D’Excellence and hosted by the following institutions :
- Université Nancy 2 / LHSP – Archives Henri Poincaré (UMR CNRS 7117)
- Université Paris Diderot – Paris 7 / Département d’Histoire et Philosophie des Sciences / RESHEIS (UMR CNRS 7596)
- Collège de France / Chaire de philosophie du langage et de la connaissance (Jacques Bouveresse)
- University of Notre Dame
The term ‘ideals’ in the title is used in two senses. The first concerns the aims and virtues of proof considered as justificative norms for mathematical practice generally. The second concerns the use of so-called “ideal” elements or methods as means of pursuing these aims.
Ideals in the first sense include not only such traditional standards as rigor, certainty, apriority, purity and explanatory gain, but also such systematic virtues as (various types of) completeness, closure, efficiency and freedom. Generally speaking, we want to improve our understanding of why such conditions and constraints as have figured as ideals of proof in the history of mathematics have so figured and whether they are truly deserving of such regard.
Ideals in the second sense include such things as the introduction of “infinites” (both large and small), imaginary and complex numbers in algebra and analysis, the use of Kummer ideals in number theory and the use of points, lines and planes at infinity in projective geometry.
The Archive for Mathematical Sciences and Philosophy has recorded the following events within the Ideals of Proof Program and made them available on this subsite at the request of Prof. Mic Detlefsen, Holder of the ANR Chair D’Excellence and Director of the IP Program, and his colleagues responsible for the administration of the Program The recordings listed below can also be found within the chronological listing of all recordings made by the Archive within the individual years 2008 – 2011. In addition to official IP Events, some additional events in the History and Philosophy of Mathematics involving IP Fellows, or otherwise of closely related interest have also been included.
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- Summaries & Lecture Notes of the Talks (made available by Ideals of Proof program)
2008 RECORDINGS of Events in Ideals of Proof Program and Chaire D’Excellence plus closely related events in History and Philosophy of Mathematics in Paris
The first meeting of the Philosophy of Mathematics Seminar organized by Ivahn Smadja at the Department of History and Philosophy of Science of Université Paris Diderot – Paris 7, took place on January 11th 2008. Detailed information about the seminar are available here.
The following Sessions and talks in this Seminar were recorded and can be listened to by clicking on the links in the monthly chronology of recordings in the Archive :
Professor Michael (Mic) D etlefsen, Chaire D’Excellence, Ideals of Proof Program gave two inaugural lectures for the IP project at Université Nancy 2 and Université Paris Diderot – Paris 7. The Nancy lecture took place on January 30th 2008, at 17:00, Campus Lettres et Sciences Humaines, room G 04 (flyer available here).The first meeting of the IP research seminar in Nancy took place on February 1st, 2008 at Université Nancy 2, Campus Lettres et Sciences Humaines, room A-104. [read more] Unfortunately this seminar was not recorded.
February 8th 2008 : Inaugural Session of Chair D’Excellence ANR “Ideals of Proof”
Place: Université Paris 7, Bâtiment « Halle aux Farines », Hall AB, 2nd floor, Amphi 2A – 2, rue Marguerite Duras, Paris 13ème.
An Inaugural Symposium on Proof and Inference took place on February 8th 2008 at Université Paris 7, Bâtiment « Halle aux Farines », Hall AB, 2nd floor, Amphi 2A – 2, rue Marguerite Duras, Paris 13ème. It featured a lecture by Dag Prawitz on “The Validity of Inference” and a lecture by Prof. Michael Detlefsen on “Varieties of Completeness” (flyer available here).
Click here for link to recording of Invited Lecture by Prof.. Dag PRAWITZ (Theoretical Philosophy, Stockholm) “On The Validity of Inference”
For his overheads :
Click here to listen to Prof. DETLEFSEN’s Inaugural Lecture : “On Ideals of Purity of Proofs : The Examples of Kronecker and Dedekind : Their Debate on the Proper Object of Arithmetical Investigation”
Click here for his Overheads
February 22nd, 2008
ENS : Seminaire Riemann : Part 1 : Christian HOUZEL : The Two Fundamental themes of Poincare’s (1895) Memoir on Analysis Situs :
a) The Definition of Poincare Duality and of an Algebraic Variety
b) The Notion of the Fundamental Group of A Space and Its Role in Topology
Click here for link to recording of Prof. HOUZEL’s Talk
Part 2 : Patrick POPESCU-PAMPU (Univ. Paris 7) : Les Notions de Variete Chez Poincare
Click here for link to recording of Prof. POPESCU-PAMPU’s Talk
Total length of recording : 3 hours 15 minutes 21 seconds. Windows media Audio File 23.2 MB bitrate 16kbps
The Second meeting of the IP research seminar in Nancy took place on February 26th 2008 at The Université Nancy 2, Campus Lettres et Sciences Humaines, room Jules Vuillemin, J-303, 16:30. [read more]
The Third meeting of the IP research seminar in Nancy took place on March 7th, 2008 at Université Nancy 2, Pôle Lorrain de Gestion, room 020, 16:30. [read more]
Thursday March 20th, 2008
Institut Henri Poincare History of Mathematics Seminar :
A Survey Talk by Christian HOUZEL : An Introductory Survey of The Early History of Category Theory circa. 1946 – 1965
Click here for link to recording of Prof. HOUZEL’s Talk
April 11th, 2008 REHSEIS/ENS Workshop in Series “Seminaire Riemann” on “The Reception of Relativity”
Talk 1 by Scott WALKER : “Minkowski and the Scandal of Spacetime”
Click here for link to recording of Part 1 of Scott WALKER’s Talk
Click here for Link to Part 2 of his Talk plus Q&A Session
Click here for Link to File (File 20) of Overheads of talk by Scott Walker at 11th April 2008 ENS Workshop : Hermann Minkowski and the Scandal of Spacetime
Talk 2 : Jan LACKI (CNRS/REHSEIS) : The Logical Empiricist Reception(s) of Relativity Theory
Click here for link to the recording of Jan LACKI’s Talk (Incomplete)
Talk 3 : Alex AFRIAT (Urbino) : Mach’s Principle, Conservation Principles and Substantival Space-Time
Click here for link to recording of Alex AFRIAT’s Talk
April 14th, 2008
Talk by Renaud CHORLAY at REHSEIS Workshop/Colloque of 14th April 2008 on the notion of a function (A Study of the notion of a function from the 18th to the early 20th Century)
Darbour and Weierstrass’s critique of Cauchy’s account of limits, maxima and convergence : A probe for exploring the transition from the framework of the theory of magnitudes to the modern understanding of the notion of function in the course of the 19th Century.
Click here to listen to recording of Renaud Chorlay’s Talk : Windows media Audio File 5.86 MB bitrate 16kbps Duration : 49 mins 18 seconds
April 15th, 2008
Talk to Seminaire Categories en Physique : Salle Malevich Batiment Condorcet University Paris 7 by J-J. SZCZECINIARZ
Covariance and Invariants in GR and Theories of Spacetime Structure in general : Is General Covariance the same thing as Background Independence ?
Click here for link to recording of Jean-Jacques SZCZECINIARZ’s Talk : Duration : 1 hour 38 minutes 03 seconds File size : 11.6 MB
April 16th, 2008 ; REHSEIS Workshop on Philosophy of Mathematics : Title “Visions of Mathematical Reality and Accounts of Mathematical Practice” (Organiser ; Ivahn SMADJA)
Talk 1 by David CORFIELD : Narratives and Visions of Mathematical Rationality : With observations on the Program of Categorification and some remarks about ideas of Grothendieck concerning the Algebraisation of Notions of Space and of geometric notions in general.
Click here for link to recording of David CORFIELD’s Talk : Duration 1 hour 30 minutes 11 seconds
Talk 2 : Jamie TAPPENDEN : On the Objectivity of the Notion of Mathematical Natural Kinds
Click here for link to recording of Jamie TAPPENDEN’s Talk : Duration 1 hour 50 minutes 57 seconds
Third Talk : Jose FERREIROS : Details to be added.
April 17th, 2008 :
IHP 4:00 pm : Christian HOUZEL : Poincare et le Continu : Poincare, The Continuum and Types of Continuity.
Click here for link to recording of Christian HOUZEL’s Talk : 1 hour 48 minutes 16 seconds
Click here for edited version with enhanced sound
May 4th – May 8th 2008
Marcus Giaquinto (University College, London) visited the project team from May 4th to May 8th 2008 , and lectured in Nancy (May 5th to 6th 2008 workshop on ‘Visual Reasoning in Mathematics and the A Priori‘) and in Paris (May 7th, 2008 at The Riemann Seminar, Ecole Normale Supérieure, 45, rue d’Ulm, salle Dussane, 17H00:19H00).
Title: “Synthetic a priori knowledge in geometry: recovery of a Kantian Insight”.
Both Marcus Giaquinto’s Lectures were recorded and can be listened to Here.
Click here to listen to recording of his Talk in Nancy
Click here to listen to recording of his Talk in Paris
May 9th 2008
ENS Salle Weil : Seminaire RIEMANN on Sophus Lie, Groups and Algebra
Talk 1 : Joel MERKER : Axioms for Groups, Mobility of Pairs of Points and Foundations of Geometry (in Lie and in Poincare)
Click here for link to recording of Joel MERKER’s Talk : Duration 1 hr 18 mins 27 seconds
Talk 2 of 9th May 2008 : ENS Salle Weil Seminaire RIEMANN on Sophus Lie, Groups and Algebra : Benoit TIMMERMANS : Quelques Etapes de L’Histoire de La representation des Groupes
Click here for link to recording of Benoit TIMMERMAN’s Talk : Duration 1 hr 18 mins 30 seconds
Talk 3 of 9th May 2008 : ENS Salle Weil Seminaire RIEMANN on Sophus Lie, Groups and Algebra : Frederic BRECHENMACHER (Univ. of Artois-Picardy) : The “Algebras” of Lie and The development of Algebra : The story of a complex relationship (1876 – 1907)
Click here for link to recording of Frederic BRECHENMACHER’s Talk : Duration 1 hr 27 mins 45 seconds
May 23rd 2008
ENS : Seminaire Riemann : Felix Klein and The Erlangen Program and Its Legacy (i)
Talk 1 by David ROWE : From Line Geometry to Relativity Theory : The (Multiple) Broader Context(s) of Klein’s Erlangen Program.
Click here for link to recording of David ROWE’s Talk : Duration : 1 hour 33 mins 02 seconds
Talk 2 by Jim RITTER : The Renewal and Enlargement of the Erlangen Program as the framework for understanding strategies for the Unification of Physics in the 1920s
Click here to listen to recording of Jim RITTER’s Talk : Duration : 1 hour 34 minutes 06 seconds
June 9th–13th 2008 : International Workshop on Mathematical Understanding Univ Paris 7.
An International Workshop on ‘Mathematical Understanding’ organized by Prof. Ivahn Smadja (University Paris-Diderot and REHSEIS) and jointly sponsored by the Département Histoire et Philosophie des Sciences – Université Denis Diderot, REHSEIS and the Ideals of Proof Project.
For more information see: http://www.histnet.cnrs.fr/research/sfhst/spip.php?article217
This workshop was intended to contrive a fruitful confrontation between studies of conceptually rich history of mathematics and themes in the philosophy of mathematics. Taking into account some historical background, notably some of the overarching viewpoints and programs which emerged in the 19th and 20th centuries : (geometrization, algebraization, arithmetization, …), the aim was to shed light on various epistemic, cognitive and logical aspects of mathematical knowledge. Different approaches were studied in the setting of particular historical case studies and then brought into relation to general philosophical questions and approaches involving logical and formal tools.
Monday 9 June 2008
9h30-11h00 : Jeremy Gray (Open University London) : « Understanding [and] Riemann surfaces »
Click here for link to recording of Jeremy Gray’s Talk : Size 10.8 Mb : 1 hr 31 mins 23 seconds
Click here for his Overheads
11h15-12h45 : Karine Chemla (CNRS Rehseis) : « Understanding while proving the correctness of algorithms. Reflexions based on ancient Chinese sources »
Click here for link to recording of Karine CHEMLA’s Talk : Size 13.00 Mb : 1 hr 49 mins 40 seconds
14h30-16h00 : Alain Michel (Université d’Aix-Marseille) : « La théorie de la mesure: origines et prolongements »
Click here for link to recording by Alain MICHEL : Size 10,2 Mb ; 1 hr 25 mins 54 seconds
16h15-17h45 : Renaud Chorlay (Université de Paris 8 – Rehseis)
« Making sense of it with structures : the mathematical (and philosophical) background to Charles Ehresmann’s work »
Click here for Link to Renaud Chorlay’s Talk : Size : 12.5 Mb ; 1 hr 45 mins 39 seconds
18h00-19h30 : Andrei Rodin (Université Denis Diderot de Paris 7)
«Category theory, Mathematical Structuralism & Mathematical Hermeneutics»
Click here for link to Recording of Andrei Rodin’s Talk. Requires addition of digitalised audiotape back-up for last part of Talk
Tuesday 10 June 2008
14h00-15h30 : Ken Manders (University of Pittsburgh) : « On Mathematical Understanding »
Click here to listen to recording of Ken MANDERS Talk : Size 9.80 Mb : 1 hr 22 mins 24 seconds
15h45-17h15 : Catherine Goldstein (CNRS, Institut de Mathématiques, Paris 6)
« Charles Hermite, Mathematical Understanding and Mathematical Nature » Click here for link to recording of Catherine GOODSTEIN’s Talk : Size 10.9 Mb ; 1 hr 32 mins 13 seconds
Click here for link to File 21 : .pdf of Contents and other information on Book : The Shaping of Arithmetic after C. F. Gauss’s Disquisitiones Arithmeticae, edited by Catherine Goldstein, Norbert Schappacher and Joachim Schwermer, Berlin, Heidelberg, New York: Springer, 2007, (available at http://www.springer.com)
This File provides Background to Talk by Catherine GOLDSTEIN « Charles Hermite, Mathematical Understanding and Mathematical Nature » (see above)
Click here for link to File 22 : .pdf of VERSION PRELIMINAIRE, texte prévu pour l’ouvrage La justification en mathématiques, éd. D. Flament et P. Nabonnand : Un arithméticien contre l’arithmétisation : les principes de Charles Hermite This file provides Background to Talk by Catherine GOLDSTEIN « Charles Hermite, Mathematical Understanding and Mathematical Nature » (see above)
Click here for links to 3 Files (Files 23 – 25) : dvi files of overheads of Talk by Catherine GOLDSTEIN « Charles Hermite, Mathematical Understanding and Mathematical Nature » (see above)
17h30-19h00 : Ivahn Smadja (Université Denis Diderot Paris 7) « Diverging Thrusts. Contrasting Insightful Plasticity with Articulate Embeddings »
Click here for link to recording of Ivahn SMADJA’s Talk : Size 10.9 Mb ; 1 hr 31 mins 46 seconds
Wednesday 11 June 2008
9h30-11h00 : Jeremy Avigad (Carnegie Mellon) : « The role of the diagram in Euclid‘s Elements »
Click here for link to recording of Jeremy AVIGAD’s Talk : Duration : 1 hr 51 mins 55 seconds : 13.3 Mb
11h15-12h45 : Philippe Nabonnand (Université de Nancy 2) « La polémique entre Poncelet et Von Staudt : comprendre la dualité »
Click here for link to recording of Philippe Nabonnand’s Talk : Size 10.9 Mb : 1 hr 18 mins 58 seconds
14:30-16:00 : Gerhard Heinzmann (Université de Nancy 2) « Mathematical Comprehension and Intuition »
Click here for link to recording of Gerhard HEINZMANN’s Talk : Size 10.2 Mb : 1 hr 13 mins 49 seconds
16h15-17h45 : Mark Steiner (University of Jerusalem) : « Getting more out of mathematics than we put in: the case of complex numbers and their generalizations »
Click here for link to recording of Mark STEINER’s Talk ; Duration 1 hr 29 mins 21 seconds
18:00-19:30 : Michel Paty (CNRS Rehseis) : « La Structure du rationnel dans l’invention de la theorie de la relativite et de la theorie quantique »
Click here for link to recording of Michel PATY’s Talk : Size 10.7 Mb : 1 hr 17 mins 37 seconds.
Wednesday 11 June 2008 :
Seminar on Historical and Epistemological Approaches to the Study of Mathematical Concepts ; IHP (Institut Henri Poincare) 14:00 hrs
Talk by Michel SERFATI (Convenor of Seminar) : Marshal Stone : Ideals and Duality : Stone’s contributions to the conceptual transformation of notions of algebraic structure 1920 – 1950 and the role of his work in the genesis of Category theory.
Click here for link to recording of Michel SERFATI’s Talk and sunsequent discussions : Duration : 1 hr 45 mins 37 seconds
Thursday 12 June 2008 : List of recordings of June 9th–13th 2008 : International Workshop on Mathematical Understanding (continued)
9h30-11h00 : Jan von Plato (University of Helsinki) « A combinatorial view of mathematical proofs »
Click here for link to recording of Jan von PLATO’s Talk : Duration : 1 hour 29 mins 09 seconds
11h15-12h45 : Joël Merker (ENS Ulm, DMA & LATP) « Insights towards the speculative thought of formal computation »
Click here for link to recording of Joel MERKER’s Talk : Duration : 1 hour 24 minutes 30 seconds
14h30-16h45 : Andrew Arana (Kansas State University) & Mic Detlefsen (University of Notre-Dame)« Purity and Understanding »
Click here for link to recording of Talk by Andrew ARANA and Mic DETLEFSEN : Duration : 2 hours 5 minutes 43 seconds
17h-18h30 : Jean-Jacques Szczeciniarz (Université Paris 7) : « Le Galoisisme de Grothendieck »
Click here for link to recording of Jean-Jacques SZCZECINIARZ’s Talk : Duration : 11.5 Mb : 1 hr 23 minutes 30 seconds
Click here for File (File 34) of Overheads of JJ Szczeciniarz’s Talk.
Friday 13 June 2008
9h30-11h00 : Paolo Mancosu (University of Berkeley) : « Understanding, Explanation and Unification »
Click here for link to recording of Paolo MANCOSU’s Talk : Duration : 1 hour 30 minutes 01 second
11h15-12h45 : Stewart Shapiro (Ohio State University) : « An ‘i’ for an i. Reference and indiscernibility »
Click here for link to recording of Stewart SHAPIRO’s Talk : Duration : 1 hour 27 minutes 04 seconds
14h30-16h00 : Marco Panza (CNRS, Rehseis) : « From the naturals to the reals using abstraction »
Click here for link to recording of Marco PANZA’s Talk : Duration : 1 hour 33 minutes 18 seconds
16h15-17h45 : José Ferreiros (University of Sevilla) : «Conceptual understanding, logical consistency, and mathematical existence»
Click here for link to recording of Jose FERREIROS’ Talk : Duration : 1 hour 27 minutes 08 seconds
End of Section on June 9-13 Workshop on “Mathematical Understanding
Tuesday 17th June 2008 : An International Workshop in Seville, Spain on “Mathematical Practices”
Talk 1 by Mario SANTOS-SOUSA (Madrid) : The Shape of Number
Click here for link to recording of this Talk (Last part of Talk and Q&A and Discussions only)
Talk 2 : Marcus GIAQUINTO (London) : Synthetic A Priori Knowledge in Geometry : The Recovery of A Kantian Insight
Click here for link to Recording of First Part of Marcus GIAQUINTO’s Talk
Click here for link to Recording of Second Part of his Talk.
Click here for link to Recordings of Q&A and Discussion Session following Marcus Giaquinto’s Talk.
Talk 3 : Ken MANDERS (Pittsburgh) : Descartes Transformation of Geometrical Reasoning
Click here for link to recording of Ken MANDERS Talk
Talk 4 : Hourya BENIS-SINACEUR (Paris) : Practices and Styles in Mathematics
Click here for link to recording of this Talk
Click here for Link to Discussion Period and Q&A Session after Talk
October 10th – 31st 2008 : Prof. Mic Detlefsen gave a series of four lectures during October at the École Normale Supérieure (ENS), 45, Rue d’Ulm, Paris.
The title of the lectures was: “In Search of Formalism”.
Lecture I: Friday, October 10, 2008, 16h00-18h00, Salle Cavaillès
Lecture II: Friday, October 17, 2008, 16h00-18h00, Salle Cavaillès
Lecture III: Friday, October 24, 2008, 16h00-18h00, Salle Cavaillès –
Lecture IV: Friday, October 31, 2008 16h00-18h00, Salle des Actes.
October 29th 2008 : The fall IP Fellows Seminar took place in Nancy (University Nancy 2, Campus Lettres et Sciences Humaines, room G-04), October 29th. 2008 The program was as follows: Session I (10h30-12h00):
Paul McCallion (IP Fellow), “Ideality and the integers” –
Session II (13h30-15h00): Fabien Schang (IP Fellow), “An abstract object in logic: logical value, and its philosophical import”
Session III (15h15–16h45): John Mumma (IP Fellow), “The real and the ideal in complex projective space”
December 10th 2008
Seminaire “Philosophie des Mathematiques” REHSEIS/University Paris 7 : 1 Day Workshop “Conceptual issues in Analysis”
Talk 1 : Benoit TIMMERMANS (V.U. Brussels) : An Analysis of the Typologies of Analysis
Click here for link to recording of Benoit TIMMERMANS Talk ; Duration : 1 hour 23 mins 08 seconds
Talk 2 : Michael BEANEY : (York) : Conceptions of Analysis in Early Analytic Philosophy
Click here for link to recording of Michael BEANEY’s Talk : Duration : 2 hours 7 mins 50 seconds
December 15th – 16th 2008 :
A Workshop on “Geometrical Thinking” in Nancy (Université Nancy 2, Amphithéâtre Maison des Sciences de l’Homme Lorraine), took place on December 15th – 16th 2008. Program and abstracts are available on this page.
The Talks at this Workshop were recorded and can be listened to below, together with an additional lecture delivered by Profesor Jeremy GRAY on the morning of December 17th 2008
Recordings of Talks at IP Workshop on Geometrical Thought Univ of Nancy 2 15th – 16th December 2008
December 15th 2008 Day 1 of Meeting :
Talk 1 : Jeremy GRAY (Open University UK) : On the Nature of Geometrical Thought : The Case of Minimal Surfaces
Click here for link to the Recording of Jeremy GRAY’s Talk : 1 hour 04 minutes 06 seconds : 117 MB
Click here for his overheads
15th December 2008 Talk 1 Part II (Discussions following Talk) : 1 hour 00 minutes 15 seconds : 110 MB
Click here for link to Recording of Discussions following Jeremy GRAY’s Talk
Talk 2 : Michael HALLETT (McGill University) : Geometry and Number in The Thought of Hilbert 1891 – 1905
Plus Following Discussions
Click here for link to Recording of Michael HALLETT’s Talk : 2 hours 22 minutes 16 seconds : 260 MB
Talk 3 : Douglas JESSEPH (University of Southern Florida) : “The Very Soul of Mathematics” : The Mathematical Lectures of Isaac Barrow and The Theory of Ratio and Quantity in the 17th Century
Click here for link to recording of Douglas JESSEPH’s Talk : 1 hour 57 minutes 20 seconds : Track 44 : 214 MB
16th December 2008 Day 2 of Meeting
Talk 1 : Mary DOMSKI (Phil. Univ of New Mexico) : Kant on The Imagination and Geometrical Certainty
Click here for link to recording of Mary DOMSKI’s Talk : 1 hour 47 mins 25 seconds : 196 Mb
TALK 2 : Victor PAMBUCCIAN (State University of Arizona)
Elementary Geometries, Groups and Fields : Resemblances and Differences between Geometric and Algebraic Standpoints.
Click here for link to recording of Victor PAMBUCCIAN’s Talk : Duration : 1 hour 35 minutes 34 seconds Track 46 : 174 MB
TALK 3 (Part 1): Henk BOS (Universities of Utrecht and Aarhus)
The Early Modern Tradition of Problem Solving (Late 16th – early 17th Century) as the Context for new ideas about the Nature of Geometry
Click here for link to recording of Part 1 of Henk BOS’s Talk : 1 hour 29 minutes 54 seconds Track 47 : 164 MB
TALK 3 (Part 2) : Henk BOS (Universities of Utrecht and Aarhus) : The Early Modern Tradition of Problem Solving (Late 16th – early 17th Century) as the Context for new ideas about the Nature of Geometry
Click here for link to recording of Last Part of Talk plus following Discussions Duration : 45 minutes 33 seconds
End of section of recordings of Nancy Workshop on Geometrical Thinking
—oOo—
December 17th 2008 : Additional Talk at Archives Henri Poincare Nancy 2 : Talk in Series : Grandes Conferences des Archives Poincare
Jeremy GRAY (Centre for the History of The Mathematical Sciences, Open University UK)
Poincare and Complex Function Theory
Click here for link to recording of this Talk (First Part of Talk Missing) : 1 hour 25 minutes 8 seconds Size : 19.8 Mb
End of 2008 Recordings