Laurence F. Abbott

Peter Dayan

Theoretical neuroscience provides a quantitative basis for describing what nervous systems do, determining how they function, and uncovering the general principles by which they operate. This text introduces the basic mathematical and computational methods of theoretical neuroscience and presents applications in a variety of areas including vision, sensory-motor integration, development, learning, and memory. The book is divided into three parts. Part I discusses the relationship between sensory stimuli and neural responses, focusing on the representation of information by the spiking activity of neurons. Part II discusses the modeling of neurons and neural circuits on the basis of cellular and synaptic biophysics. Part III analyzes the role of plasticity in development and learning. An appendix covers the mathematical methods used, and exercises are available on the book's Web site.

Computational and Mathematical Modeling of Neural Systems

Theoretical Neuroscience

In 1877, Ruskin accused Whistler of ’flinging a pot of paint in the public’s face’. Was he right? After all, Whistler always denied that the true function of art was to represent anything. If a painting does not represent, what is it, other than mere paint, flung in the public’s face? Whistler’s answer was simple: painting is music - or it is poetry. Georges Braque, half a century later, echoed Whistler’s answer. So did Braque’s friends Apollinaire and Ponge. They presented their poetry as music too - and as painting. But meanwhile, composers such as Satie and Stravinsky were presenting their own art - music - as if it transposed the values of painting or of poetry. The fundamental principle of this intermedial aesthetic, which bound together an extraordinary fraternity of artists in all media in Paris, from 1885 to 1945, was this: we must always think about the value of a work of art, not within the logic of its own medium, but as if it transposed the value of art in another medium. Peter Dayan traces the history of this principle: how it created our very notion of ’great art’, why it declined as a vision from the 1960s and how, in the 21st century, it is fighting back.

Art as Music, Music as Poetry, Poetry as Art, from Whistler to Stravinsky and Beyond

Why does poetry appeal to music? Can music be said to communicate, as language does? What, between music and poetry, is it possible to translate? These fundamental questions have remained obstinately difficult, despite the recent burgeoning of word and music studies. Peter Dayan contends that the reasons for this difficulty were worked out with extraordinary rigour and consistency in a French literary tradition, echoed by composers such as Berlioz and Debussy, which stretches from Sand to Derrida. Their writing shows how it is both necessary and futile to look for music in poetry, or for poetry in music.

Peter Dayan

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