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Preface

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Elements of Neurogeometry

Part of the book series: Lecture Notes in Morphogenesis ((LECTMORPH))

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Abstract

The Preface presents the goal of the work and gives an outline.

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Notes

  1. 1.

    Named after Carl Friedrich Gauss.

  2. 2.

    In this book, we use the term ‘orientation’ in the same way as neurophysiologists to refer to straight lines in the plane with angles specified modulo \(\pi \). Orientations can thus have two senses with angles specified modulo \(2\pi \). Mathematicians speak rather of ‘direction’ in the first case and orientation in the second case. However, neurophysiologists reserve the term ‘direction’ for the direction of motion of an oriented segment.

  3. 3.

    Named after Adrien-Marie Legendre.

  4. 4.

    Named after Bernhard Riemann.

  5. 5.

    Named after Pierre-Simon de Laplace.

  6. 6.

    For more on the historical background of neurogeometry, the interested reader is referred to my ‘Landmarks for Neurogeometry’ [11].

  7. 7.

    Named after William Rowan Hamilton.

  8. 8.

    Under the aegis of the Centre National de la Recherche Scientifique (CNRS), and today called the Unité de Neurosciences, Information et Complexité.

  9. 9.

    Today, director of the European Institute for Theoretical Neuroscience (EITN) in Paris.

  10. 10.

    Today, CAMS is directed by Jean-Pierre Nadal , an expert on statistical physics, neural networks, and complex systems at the ENS. We shall say more about him later in the book.

  11. 11.

    At that time, the CREA was located in Paris at the former site of the École Polytechnique.

  12. 12.

    Apart from the colleagues already mentioned and those invited by Patrick Charnay , I would like to thank among others Yves Burnod , Jean-Pierre Changeux , Stanislas Dehaene, Gérard Dreyfus , Emmanuel Dupoux , Jacques Droulez, Étienne Koechlin , Denis Le Bihan , Pascal Mamassian , Claude Meunier , Kevin O’Reagan , Khashayar Pakdaman , and Bernard Renault .

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  1. CAMS, EHESS, Paris, France

    Jean Petitot

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  1. Jean Petitot
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Correspondence to Jean Petitot .

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Petitot, J. (2017). Preface. In: Elements of Neurogeometry. Lecture Notes in Morphogenesis. Springer, Cham. https://doi.org/10.1007/978-3-319-65591-8_1

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