Geometry and nature : [electronic resource] in memory of W.K. Clifford : a Conference on New Trends in Geometrical and Topological Methods in memory of William Kingdon Clifford, July 30-August 5, 1995, Madeira, Portugal / Hanna Nencka, Jean-Pierre Bourguignon, editors.

By: Conference on New Trends in Geometrical and Topological Methods (1995 : S�ao Jo�ao da Madeira, Portugal)Contributor(s): Clifford, William Kingdon, 1845-1879 | Nencka, Hanna, 1956- | Bourguignon, Jean-Pierre, 1947-Material type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 203.Publication details: Providence, R.I. : American Mathematical Society, c1997Description: 1 online resource (xvi, 296 p. : ill.)ISBN: 9780821877944 (online)Subject(s): Geometry -- Congresses | Topology -- Congresses | Mathematical physics -- Congresses | Clifford, William Kingdon, 1845-1879Additional physical formats: Geometry and nature :DDC classification: 530.15/6 LOC classification: QC20.7.G44 | C66 1995Online resources: Contents | Contents
Contents:
Clifford and the "square root" ideas / A. Trautman -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02577 Dirac's algebra and Brauer-Wall groups / Birger Iversen -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02569 Linear endomorphisms of Clifford algebras / D. Kastler and M. Mebkhout -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02572 Uniformizations of Riemann surfaces: Poincar�e theta series, Riemann's theta function and theta constants / I. Kra -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02573 Adapted metrics and M�obius transformations defined over Clifford algebras / William Abikoff -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02553 Information geometry / S.-I. Amari -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02554 An example of dynamical behaviour of the relative entropy / G. Burdet, H. Nencka and M. Perrin -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02556 Information geometry and learning in formal neural networks / P. Combe and H. Nencka -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02560 Statistical dynamics and information geometry / R. F. Streater -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02575 On finite differential calculi / D. Kastler, J. Madore and T. Masson -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02570 Some aspects of noncommutative differential geometry / M. Dubois-Violette -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02562 Connections of bimodules in non-commutative geometry / D. Kastler, J. Madore and D. Testard -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02571 Riemannian and non-commutative geometry in physics / B. Iochum, D. Kastler and T. Sch�ucker -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02567 Spectral model and fuzzy mass relations / Bruno Iochum, Daniel Kastler and Thomas Sch�ucker -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02568 Not so simple universe / M. Demia�nski -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02561 Extended tensorial curvature analysis for embeddings and foliations / B. Carter -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02558 Spaces admitting a foliation by isotropic hypersurfaces / T. Papakostas -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02574 An alternative to inflation / R. Triay -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02578 A class of homogeneous symplectic manifolds / P. Bieliavsky, M. Cahen and S. Gutt -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02555 $r$th order conditionally convergent series of fractal domains / Jenny Harrison -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02566 Chern-Simons vortices / C. Duval and P. A. Horv�athy -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02563 The generalized local instability criterion from the geodesic deviation equation / Marek Szyd�owski -- http://www.ams.org/conm/203/ http://dx.doi.org/10.1090/conm/203/02559
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Includes bibliographical references.

Clifford and the "square root" ideas / A. Trautman -- Dirac's algebra and Brauer-Wall groups / Birger Iversen -- Linear endomorphisms of Clifford algebras / D. Kastler and M. Mebkhout -- Uniformizations of Riemann surfaces: Poincar�e theta series, Riemann's theta function and theta constants / I. Kra -- Adapted metrics and M�obius transformations defined over Clifford algebras / William Abikoff -- Information geometry / S.-I. Amari -- An example of dynamical behaviour of the relative entropy / G. Burdet, H. Nencka and M. Perrin -- Information geometry and learning in formal neural networks / P. Combe and H. Nencka -- Statistical dynamics and information geometry / R. F. Streater -- On finite differential calculi / D. Kastler, J. Madore and T. Masson -- Some aspects of noncommutative differential geometry / M. Dubois-Violette -- Connections of bimodules in non-commutative geometry / D. Kastler, J. Madore and D. Testard -- Riemannian and non-commutative geometry in physics / B. Iochum, D. Kastler and T. Sch�ucker -- Spectral model and fuzzy mass relations / Bruno Iochum, Daniel Kastler and Thomas Sch�ucker -- Not so simple universe / M. Demia�nski -- Extended tensorial curvature analysis for embeddings and foliations / B. Carter -- Spaces admitting a foliation by isotropic hypersurfaces / T. Papakostas -- An alternative to inflation / R. Triay -- A class of homogeneous symplectic manifolds / P. Bieliavsky, M. Cahen and S. Gutt -- $r$th order conditionally convergent series of fractal domains / Jenny Harrison -- Chern-Simons vortices / C. Duval and P. A. Horv�athy -- The generalized local instability criterion from the geodesic deviation equation / Marek Szyd�owski --

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http://dx.doi.org/10.1090/conm/203/02563

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http://dx.doi.org/10.1090/conm/203/02559

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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