MARC details
| 000 -LEADER |
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| fixed length control field |
03149nmm a22003498i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
SPU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20210708221940.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100505b2010 enk|||||o|||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780511761188 (E-book) |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
SPU |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
main |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA 298 |
| Item number |
D52 2010 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Dick, J. |
| 9 (RLIN) |
242831 |
| 245 10 - TITLE STATEMENT |
|---|
| Title |
Digital nets and sequences : |
| Remainder of title |
discrepancy and quasi-Monte Carlo integration / |
| Statement of responsibility, etc. |
Josef Dick, Friedrich Pillichshammer |
| Medium |
[electronic resource] |
| 246 3# - VARYING FORM OF TITLE |
|---|
| Title proper/short title |
Digital Nets & Sequences |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
Cambridge : |
| Name of publisher, distributor, etc. |
Cambridge University Press, |
| Date of publication, distribution, etc. |
2010 |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
1 online resource (xvii, 600 pages) : |
| Other physical details |
digital, PDF file(s) |
| 449 ## - DEPARTMENT |
|---|
| Department name |
บางเขน. คณะดิจิทัลมีเดีย. การออกแบบอินเทอร์แอคทีฟและเกม |
| 500 ## - GENERAL NOTE |
|---|
| General note |
Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 8# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Machine generated contents note : Preface ; Notation -- Introduction -- Quasi-Monte Carlo integration, discrepancy and reproducing kernel Hilbert spaces -- Geometric discrepancy -- Nets and sequences -- Discrepancy estimates and average type results -- Connections to other discrete objects -- Duality Theory -- Special constructions of digital nets and sequences -- Propagation rules for digital nets -- Polynomial lattice point sets -- Cyclic digital nets and hyperplane nets -- Multivariate integration in weighted Sobolev spaces -- Randomisation of digital nets --The decay of the Walsh coefficients of smooth functions -- Arbitrarily high order of convergence of the worst-case error; 16. Explicit constructions of point sets with best possible order of L2-discrepancy |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
Indispensable for students, invaluable for researchers, this comprehensive treatment of contemporary quasi–Monte Carlo methods, digital nets and sequences, and discrepancy theory starts from scratch with detailed explanations of the basic concepts and then advances to current methods used in research. As deterministic versions of the Monte Carlo method, quasi–Monte Carlo rules have increased in popularity, with many fruitful applications in mathematical practice. These rules require nodes with good uniform distribution properties, and digital nets and sequences in the sense of Niederreiter are known to be excellent candidates. Besides the classical theory, the book contains chapters on reproducing kernel Hilbert spaces and weighted integration, duality theory for digital nets, polynomial lattice rules, the newest constructions by Niederreiter and Xing and many more. The authors present an accessible introduction to the subject based mainly on material taught in undergraduate courses with numerous examples, exercises and illustrations. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
MONTE CARLO METHOD |
| 9 (RLIN) |
52090 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
NETS (MATHEMATICS) |
| 9 (RLIN) |
242832 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
SEQUENCES (MATHEMATICS) |
| 9 (RLIN) |
242833 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
NUMERICAL INTEGRATION |
| 9 (RLIN) |
242834 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
DIGITAL FILTERS (MATHEMATICS) |
| 9 (RLIN) |
242835 |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Pillichshammer, Friedrich |
| 9 (RLIN) |
242836 |
| 850 ## - HOLDING INSTITUTION |
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| Holding institution |
SPU |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
<a href="https://doi.org/10.1017/CBO9780511761188">https://doi.org/10.1017/CBO9780511761188</a> |
| Link text |
View Full-text |
| 910 ## - ACQUISITION INFORMATION (SPU) |
|---|
| Purchaser |
คณะดิจิทัลมีเดีย |
| Publisher |
ร้าน New knowleage information งาน SPU Book Fair 2019 |
| Accession date |
130320 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
Library of Congress Classification |
| Koha item type |
E-Book |