LEADER 03113nam a2200385 i 4500
001 991002943619707536
006 m     o  d        
007 cr cnu        
008 160712s2014    sz a    ob    001 0 eng d
020   $a9783319046969
035   $ab14257981-39ule_inst
040   $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng
082 04$a512.7$223
084   $aAMS 11-06
084   $aAMS 11J71
084   $aAMS 11K36
084   $aAMS 11K38
084   $aLC QA324.P36
245 02$aA panorama of discrepancy theory$h[e-book] /$cWilliam Chen, Anand Srivastav, Giancarlo Travaglini, editors
260   $aCham [Switzerland] :$bSpringer,$c2014
300   $a1 online resource (xvi, 695 pages) :$billustrations
490 1 $aLecture notes in mathematics,$x1617-9692 ;$v2107
504   $aIncludes bibliographical references and index
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   $aDiscrepancy theory concerns the problem of replacing a continuous object with a discrete sampling. Discrepancy theory is currently at a crossroads between number theory, combinatorics, Fourier analysis, algorithms and complexity, probability theory and numerical analysis. There are several excellent books on discrepancy theory but perhaps no one of them actually shows the present variety of points of view and applications covering the areas "Classical and Geometric Discrepancy Theory", "Combinatorial Discrepancy Theory" and "Applications and Constructions". Our book consists of several chapters, written by experts in the specific areas, and focused on the different aspects of the theory. The book should also be an invitation to researchers and students to find a quick way into the different methods and to motivate interdisciplinary research
650  0$aIrregularities of distribution (Number theory)
700 1 $aChen, William$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0739647
700 1 $aSrivastav, Anand$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0739648
700 1 $aTravaglini, Giancarlo$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0290836
856 40$uhttp://link.springer.com/book/10.1007%2F978-3-319-04696-9$zAn electronic book accessible through the World Wide Web
907   $a.b14257981$b03-03-22$c12-07-16
912   $a991002943619707536
996   $aPanorama of discrepancy theory$91465245
997   $aUNISALENTO
998   $ale013$b12-07-16$cm$d@  $e-$feng$gsz $h2$i0