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001 | 978-3-319-04696-9 | ||
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007 | cr nn 008mamaa | ||
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_a9783319046969 _9978-3-319-04696-9 |
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_a10.1007/978-3-319-04696-9 _2doi |
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072 | 7 |
_aPBH _2bicssc |
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_aMAT022000 _2bisacsh |
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_aPBH _2thema |
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_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. |
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300 |
_aXVI, 695 p. 29 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2107 |
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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 | ||
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