Illustrates the fascinating interactions between mathematics and neuroscience

Describes geometrical models of the functional architecture of the visual cortex

Presents a variety of examples

Illustrates the fascinating interactions between mathematics and neuroscience Describes geometrical models of the functional architecture of the visual cortex Presents a variety of examples Includes supplementary material: sn.pub/extras

Autorentext

Jean Petitot specializes in mathematical modeling in the cognitive sciences. Former student and teacher at the École Polytechnique, he is currently Professor at the Mathematics Center of the École des Hautes Études en Sciences Sociales in Paris. He is a member of the International Academy of Philosophy of Science. Having worked for several years on the theory of singularities in differential geometry, he was one of the first to become interested in René Thom's morphodynamic models of visual perception and phonetics in the 1970s.

He is the author of several books, such as Neurogeomtrie de la vision (École Polytechnique, Ellipses, 2008), 'Physique du Sen' (Centre Nationale de la Recherche Scientifique, 1992), 'Morphogenèse du Sens' (Presses Universitaires de France, 1985; English transl. Peter Lang, 2004), five other books, and more than 300 papers. He is also co-editor of 'Constituting Objectivity' (Springer, 2009), 'Neurogeometry and Visual Perception' (J. of Physiology-Paris, 2003), 'Au Nom du Sens', a tribute to Umberto Eco (Grasset, 2000), 'Naturalizing Phenomenology' (Stanford University Press, 1999), 'Logos et Théorie des Catastrophes', a tribute to René Thom, (Patino, 1988).

Inhalt
Preface.- Introdcution.- Receptive Fields and Profiles, and Wavelet Analysis.- Pinwheels of V1 Horizontal Connections and Contact Structure.-Transition to Volume II.- References.