Number Theory Fourier Analysis And Geometric Discrepancy
Download Number Theory Fourier Analysis And Geometric Discrepancy full books in PDF, epub, and Kindle. Read online free Number Theory Fourier Analysis And Geometric Discrepancy ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Number Theory Fourier Analysis and Geometric Discrepancy
Author | : Giancarlo Travaglini |
Publsiher | : Cambridge University Press |
Total Pages | : 251 |
Release | : 2014-06-12 |
Genre | : Mathematics |
ISBN | : 9781107044036 |
Download Number Theory Fourier Analysis and Geometric Discrepancy Book in PDF, Epub and Kindle
Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.
A Panorama of Discrepancy Theory
Author | : William Chen,Anand Srivastav,Giancarlo Travaglini |
Publsiher | : Springer |
Total Pages | : 695 |
Release | : 2014-10-07 |
Genre | : Mathematics |
ISBN | : 9783319046969 |
Download A Panorama of Discrepancy Theory Book in PDF, Epub and Kindle
This is the first work on Discrepancy Theory to show the present variety of points of view and applications covering the areas Classical and Geometric Discrepancy Theory, Combinatorial Discrepancy Theory and Applications and Constructions. It consists of several chapters, written by experts in their respective fields and focusing on the different aspects of the theory. Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling and is currently located at the crossroads of number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. This book presents an invitation to researchers and students to explore the different methods and is meant to motivate interdisciplinary research.
Geometric Discrepancy
Author | : Jiri Matousek |
Publsiher | : Springer Science & Business Media |
Total Pages | : 293 |
Release | : 2009-12-02 |
Genre | : Mathematics |
ISBN | : 9783642039423 |
Download Geometric Discrepancy Book in PDF, Epub and Kindle
What is the "most uniform" way of distributing n points in the unit square? How big is the "irregularity" necessarily present in any such distribution? This book is an accessible and lively introduction to the area of geometric discrepancy theory, with numerous exercises and illustrations. In separate, more specialized parts, it also provides a comprehensive guide to recent research.
Fourier Analysis and Convexity
Author | : Luca Brandolini,Leonardo Colzani,Alex Iosevich,Giancarlo Travaglini |
Publsiher | : Springer Science & Business Media |
Total Pages | : 268 |
Release | : 2011-04-27 |
Genre | : Mathematics |
ISBN | : 9780817681722 |
Download Fourier Analysis and Convexity Book in PDF, Epub and Kindle
Explores relationship between Fourier Analysis, convex geometry, and related areas; in the past, study of this relationship has led to important mathematical advances Presents new results and applications to diverse fields such as geometry, number theory, and analysis Contributors are leading experts in their respective fields Will be of interest to both pure and applied mathematicians
Fourier Analysis on Polytopes and the Geometry of Numbers
Author | : Sinai Robins |
Publsiher | : American Mathematical Society |
Total Pages | : 352 |
Release | : 2024-04-24 |
Genre | : Mathematics |
ISBN | : 9781470470333 |
Download Fourier Analysis on Polytopes and the Geometry of Numbers Book in PDF, Epub and Kindle
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 transform preserves all of the information of a polytope, and turns its geometry into analysis. The approach is unique, and streamlines this emerging field by presenting new simple proofs of some basic results of the field. In addition, each chapter is fitted with many exercises, some of which have solutions and hints in an appendix. Thus, an individual learner will have an easier time absorbing the material on their own, or as part of a class. Overall, this book provides an introduction appropriate for an advanced undergraduate, a beginning graduate student, or researcher interested in exploring this important expanding field.
Discrepancy Theory
Author | : Dmitriy Bilyk,Josef Dick,Friedrich Pillichshammer |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 303 |
Release | : 2020-01-20 |
Genre | : Mathematics |
ISBN | : 9783110651201 |
Download Discrepancy Theory Book in PDF, Epub and Kindle
The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory
Fourier Analysis with Applications
Author | : Adrian Constantin |
Publsiher | : Cambridge University Press |
Total Pages | : 368 |
Release | : 2016-06-02 |
Genre | : Mathematics |
ISBN | : 9781107044104 |
Download Fourier Analysis with Applications Book in PDF, Epub and Kindle
A two-volume advanced text for graduate students. This first volume covers the theory of Fourier analysis.
Discrepancy Theory
Author | : Dmitriy Bilyk,Josef Dick,Friedrich Pillichshammer |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 225 |
Release | : 2020-01-20 |
Genre | : Mathematics |
ISBN | : 9783110652581 |
Download Discrepancy Theory Book in PDF, Epub and Kindle
The contributions in this book focus on a variety of topics related to discrepancy theory, comprising Fourier techniques to analyze discrepancy, low discrepancy point sets for quasi-Monte Carlo integration, probabilistic discrepancy bounds, dispersion of point sets, pair correlation of sequences, integer points in convex bodies, discrepancy with respect to geometric shapes other than rectangular boxes, and also open problems in discrepany theory.