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020 _a9783319046969
_9978-3-319-04696-9
024 7 _a10.1007/978-3-319-04696-9
_2doi
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
072 7 _aPBH
_2thema
082 0 4 _a512.7
_223
245 1 2 _aA Panorama of Discrepancy Theory
_h[electronic resource] /
_cedited by William Chen, Anand Srivastav, Giancarlo Travaglini.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2014.
300 _aXVI, 695 p. 29 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2107
505 0 _aPreface -- 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 _aDiscrepancy 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 _aNumber theory.
650 0 _aCombinatorics.
650 0 _aFourier analysis.
650 0 _aDistribution (Probability theory.
650 0 _aNumerical analysis.
650 1 4 _aNumber Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M25001
650 2 4 _aCombinatorics.
_0http://scigraph.springernature.com/things/product-market-codes/M29010
650 2 4 _aFourier Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12058
650 2 4 _aMathematics of Algorithmic Complexity.
_0http://scigraph.springernature.com/things/product-market-codes/M13130
650 2 4 _aProbability Theory and Stochastic Processes.
_0http://scigraph.springernature.com/things/product-market-codes/M27004
650 2 4 _aNumerical Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M14050
700 1 _aChen, William.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aSrivastav, Anand.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
700 1 _aTravaglini, Giancarlo.
_eeditor.
_4edt
_4http://id.loc.gov/vocabulary/relators/edt
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319046976
776 0 8 _iPrinted edition:
_z9783319046952
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2107
856 4 0 _uhttps://doi.org/10.1007/978-3-319-04696-9
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9333
_d9333