(Ilmumisaeg: 04-Apr-2024, PDF+DRM, Kirjastus: American Mathematical Society, ISBN-13: 9781470476632)
This book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier tr...Loe edasi...
(Ilmumisaeg: 14-Nov-2015, PDF+DRM, Kirjastus: Springer-Verlag New York Inc., ISBN-13: 9781493929696)
This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices. Highly accessible to advanced undergraduates, as well as begi...Loe edasi...
(Ilmumisaeg: 24-Aug-2008, PDF+DRM, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG, ISBN-13: 9783540795964)
Das Gebiet des ā€˛ZƤhlens von Gitterpunkten in Polytopen, auch Ehrhart-Theorie genannt, bietet verschiedene Verbindungen zu elementarer endlicher Fourier-Analysis, Erzeugendenfunktionen, dem MĆ¼nzenproblem von Frobenius, Raumwinkeln, magischen Q...Loe edasi...
(Ilmumisaeg: 27-Nov-2007, PDF+DRM, Kirjastus: Springer-Verlag New York Inc., ISBN-13: 9780387461120)
The world is continuous, but the mind is discrete. David Mumford We seek to bridge some critical gaps between various ?elds of mathematics by studying the interplay between the continuous volume and the discrete v- ume of polytopes. Examples of polyt...Loe edasi...
