هندسه و طبیعت: به یاد وی.کی. کلیفورد: کنفرانسی دربارهٔ روندهای نوین در روش‌های هندسی و توپولوژیکی به یاد ویلیام کینگدون کلیفورد، ۳۰ ژوئیه تا ۵ اوت ۱۹۹۵، مادیرا، پرتغال

This volume is the outgrowth of a conference devoted to William K. Clifford entitled, “New Trends in Geometrical and Topological Methods”, which was held at the University of Madeira in July and August 1995. The aim of the conference was to bring together active workers in fields linked to Clifford's work and to foster the exchange of ideas between mathematicians and theoretical physicists. Divided into 6 one-day sessions, each session was devoted to a specific aspect of Clifford's work. This volume is an attempt to bring the Clifford legacy in a new perspective to a larger community of mathematicians and physicists. New concepts, ideas, and results stemming from Clifford's work are discussed. Each article in the book is a self-contained paper that was presented at or submitted to the conference. W. K. Clifford As A Geometer / Hanna Nencka And Jean-pierre Bourguignon -- 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: Poincare Theta Series, Riemann's Theta Function And Theta Constants / I. Kra -- Adapted Metrics And Mobius 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. Hanna Nencka, Jean-pierre Bourguignon, Editors. Includes Bibliographical References. Based on a conference devoted to William K Clifford entitled, 'New Trends in Geometrical and Topological Methods', which was held at the University of Madeira in July and August 1995, this title discusses fresh concepts, ideas, and results stemming from Clifford's work.