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pro vyhledávání: '"David, Mumford"'
The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of singularities in algebraic geometry. At the same t
The mutual influence between mathematics and science and technology is becoming more and more widespread with profound connections among them being discovered. In particular, important connections between harmonic analysis, wavelet analysis and p-adi
This volume collects articles in pure and applied analysis, partial differential equations, geometric analysis and stochastic and infinite-dimensional analysis. In particular, the contributors discuss integral and pseudo-differential operators, which
Autor:
David Mumford
Publikováno v:
Proceedings - Mathematical Sciences. 132
Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe wa
Autor:
David Mumford
Publikováno v:
Journal of Cognitive Science. 20:251-280
For many years, I have tried to come to a deeper understanding of what consciousness really means. This paper is a series of meditations about some aspects of this puzzle. First, I look at neuroscientists quest to localize consciousness in the brain
Publikováno v:
Forum of Mathematics, Sigma, Vol 2 (2014)
We study properties of Sobolev-type metrics on the space of immersed plane curves. We show that the geodesic equation for Sobolev-type metrics with constant coefficients of order 2 and higher is globally well-posed for smooth initial data as well as
Externí odkaz:
https://doaj.org/article/72473bf7b3044fec986fc8e2fc8ae64b
Autor:
David Mumford
Publikováno v:
Quarterly of Applied Mathematics. 77:201-206
Autor:
David Mumford
This book is a collection of essays written by a distinguished mathematician with a very long and successful career as a researcher and educator working in many areas of pure and applied mathematics. The author writes about everything he found exciti