Number Theory Fourier Analysis And Geometric Discrepancy

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Number Theory Fourier Analysis And Geometric Discrepancy
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Author : Giancarlo Travaglini
language : en
Publisher: Cambridge University Press
Release Date : 2014-06-12
Number Theory Fourier Analysis And Geometric Discrepancy written by Giancarlo Travaglini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-12 with Mathematics categories.
Classical number theory is developed from scratch leading to geometric discrepancy theory, with Fourier analysis introduced along the way.
Fourier Analysis With Applications
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Author : Adrian Constantin
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-02
Fourier Analysis With Applications written by Adrian Constantin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-02 with Mathematics categories.
A two-volume advanced text for graduate students. This first volume covers the theory of Fourier analysis.
Discrepancy Theory
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Author : Dmitriy Bilyk
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-01-20
Discrepancy Theory written by Dmitriy Bilyk and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-20 with Mathematics categories.
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 On Polytopes And The Geometry Of Numbers
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Author : Sinai Robins
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-24
Fourier Analysis On Polytopes And The Geometry Of Numbers written by Sinai Robins and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-24 with Mathematics categories.
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.
A Panorama Of Discrepancy Theory
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Author : William Chen
language : en
Publisher: Springer
Release Date : 2014-10-07
A Panorama Of Discrepancy Theory written by William Chen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-07 with Mathematics categories.
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.
Random Graphs Geometry And Asymptotic Structure
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Author : Michael Krivelevich
language : en
Publisher: Cambridge University Press
Release Date : 2016-04-25
Random Graphs Geometry And Asymptotic Structure written by Michael Krivelevich and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-25 with Mathematics categories.
A concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.
The Geometry Of Celestial Mechanics
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Author : Hansjörg Geiges
language : en
Publisher: Cambridge University Press
Release Date : 2016-03-24
The Geometry Of Celestial Mechanics written by Hansjörg Geiges and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-24 with Mathematics categories.
A first course in celestial mechanics emphasising the variety of geometric ideas that have shaped the subject.
Finite Geometry And Combinatorial Applications
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Author : Simeon Ball
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-02
Finite Geometry And Combinatorial Applications written by Simeon Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-02 with Mathematics categories.
A graduate-level introduction to finite geometry and its applications to other areas of combinatorics.
Analysis On Polish Spaces And An Introduction To Optimal Transportation
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Author : D. J. H. Garling
language : en
Publisher: Cambridge University Press
Release Date : 2018
Analysis On Polish Spaces And An Introduction To Optimal Transportation written by D. J. H. Garling and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Mathematics categories.
Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.
The Block Theory Of Finite Group Algebras
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Author : Markus Linckelmann
language : en
Publisher: Cambridge University Press
Release Date : 2018
The Block Theory Of Finite Group Algebras written by Markus Linckelmann and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Blocks categories.
This is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.