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A Panorama of Discrepancy Theory

Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling. Discrepancy theory is currently at a crossroads between number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. There are several excellent...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Chen, William (Editor ), Srivastav, Anand (Editor ), Travaglini, Giancarlo (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Lecture Notes in Mathematics, 2107
Temas:
Acceso en línea:Texto Completo

MARC

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245 1 2 |a A Panorama of Discrepancy Theory  |h [electronic resource] /  |c edited by William Chen, Anand Srivastav, Giancarlo Travaglini. 
250 |a 1st ed. 2014. 
264 1 |a Cham :  |b Springer International Publishing :  |b Imprint: Springer,  |c 2014. 
300 |a XVI, 695 p. 29 illus.  |b online resource. 
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490 1 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2107 
505 0 |a Preface -- Classical and Geometric Discrepancy -- Upper Bounds in Classical Discrepancy Theory -- Roth's Orthogonal Function Method in Discrepancy Theory and Some New Connections.- Irregularities of distribution and average decay of Fourier transforms.- Superirregularity -- Combinatorial Discrepancy -- Multicolor Discrepancy of Arithmetic Structures -- Algorithmic Aspects of Combinatorial Discrepancy -- Practical Algorithms for Low-Discrepancy 2-Colorings -- Applications and Constructions -- On the distribution of solutions to diophantine equations -- Discrepancy theory and quasi-Monte Carlo integration -- Calculation of Discrepancy Measures and Applications -- Author index -- Subject index. 
520 |a Discrepancy theory concerns the problem of replacing a continuous object with a discrete sampling. Discrepancy theory is currently at a crossroads between number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. There are several excellent books on discrepancy theory but perhaps no one of them actually shows the present variety of points of view and applications covering the areas "Classical and Geometric Discrepancy Theory", "Combinatorial Discrepancy Theory" and "Applications and Constructions". Our book consists of several chapters, written by experts in the specific areas, and focused on the different aspects of the theory. The book should also be an invitation to researchers and students to find a quick way into the different methods and to motivate interdisciplinary research. 
650 0 |a Number theory. 
650 0 |a Discrete mathematics. 
650 0 |a Fourier analysis. 
650 0 |a Mathematics. 
650 0 |a Probabilities. 
650 0 |a Numerical analysis. 
650 1 4 |a Number Theory. 
650 2 4 |a Discrete Mathematics. 
650 2 4 |a Fourier Analysis. 
650 2 4 |a Applications of Mathematics. 
650 2 4 |a Probability Theory. 
650 2 4 |a Numerical Analysis. 
700 1 |a Chen, William.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
700 1 |a Srivastav, Anand.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
700 1 |a Travaglini, Giancarlo.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer Nature eBook 
776 0 8 |i Printed edition:  |z 9783319046976 
776 0 8 |i Printed edition:  |z 9783319046952 
830 0 |a Lecture Notes in Mathematics,  |x 1617-9692 ;  |v 2107 
856 4 0 |u https://doi.uam.elogim.com/10.1007/978-3-319-04696-9  |z Texto Completo 
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912 |a ZDB-2-SXMS 
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950 |a Mathematics and Statistics (SpringerNature-11649) 
950 |a Mathematics and Statistics (R0) (SpringerNature-43713)