Lectures on irregularities of distribution:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bombay
TATA Inst. of Fundamental Research
1977
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| Schriftenreihe: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
56 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 128 S. |
Internformat
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| 245 | 1 | 0 | |a Lectures on irregularities of distribution |c by Wolfgang M. Schmidt. Notes by T. N. Shorey |
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| 490 | 1 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |v 56 | |
| 650 | 4 | |a Irregularities of distribution (Number theory) | |
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Datensatz im Suchindex
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| adam_text | TABLE OF CONTENTS
CHAPTER I. A Quantitative Theory of Uniform Distribution 1
S 1. The uniform distribution of a sequence in an interval
or in a cube 1
$ 2 . Roth s Theorem 10
53. Proof of Roth s Theorem 16
$4. A Theorem of Davenport 22
$5. The correct order of magnitude of (n) in the one
dimensional case 28
$6. A question of Erdos 37
§7. The scarcity of intervals with bounded error 42
CHAPTER II. The Method of Integral Equations 56
5 l.A theorem on balls 56
$ 2. Setting up an integral equation 60
$ 3. Differentiating the integral equation 64
5 4. Solving the integral equation 68
§ 5. A good distribution of points 72
$ 6. Balls contained in the unit cube 74
$ 7.Rectangles in arbitrary position 82
5 8. Solving the integral equation for rectangles 86
$ 9. Triangles 93
$10. Points on a sphere 96
$11. The integral equation for spherical caps 98
§ 12. Points with weights 106
S 13. Convex sets 107
§ 14. Comparison of different discrepancies ... 110
8 15. Proof of Theorem 14D by successive sweeping 114
$ 16. Open problems 123
BIBLIOGRPAHY 126
|
| any_adam_object | 1 |
| author | Schmidt, Wolfgang M. 1933- |
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| dewey-full | 515.7/82 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7/82 |
| dewey-search | 515.7/82 |
| dewey-sort | 3515.7 282 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002248251 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:44Z |
| institution | BVB |
| language | English |
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| oclc_num | 3554741 |
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| physical | 128 S. |
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| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | TATA Inst. of Fundamental Research |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Schmidt, Wolfgang M. 1933- Verfasser (DE-588)136169627 aut Lectures on irregularities of distribution by Wolfgang M. Schmidt. Notes by T. N. Shorey Bombay TATA Inst. of Fundamental Research 1977 128 S. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 56 Irregularities of distribution (Number theory) Unregelmäßigkeit (DE-588)4273192-6 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd rswk-swf Wahrscheinlichkeitsverteilung (DE-588)4121894-2 s Unregelmäßigkeit (DE-588)4273192-6 s DE-604 Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 56 (DE-604)BV000015654 56 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001477386&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schmidt, Wolfgang M. 1933- Lectures on irregularities of distribution Irregularities of distribution (Number theory) Unregelmäßigkeit (DE-588)4273192-6 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| subject_GND | (DE-588)4273192-6 (DE-588)4121894-2 |
| title | Lectures on irregularities of distribution |
| title_auth | Lectures on irregularities of distribution |
| title_exact_search | Lectures on irregularities of distribution |
| title_full | Lectures on irregularities of distribution by Wolfgang M. Schmidt. Notes by T. N. Shorey |
| title_fullStr | Lectures on irregularities of distribution by Wolfgang M. Schmidt. Notes by T. N. Shorey |
| title_full_unstemmed | Lectures on irregularities of distribution by Wolfgang M. Schmidt. Notes by T. N. Shorey |
| title_short | Lectures on irregularities of distribution |
| title_sort | lectures on irregularities of distribution |
| topic | Irregularities of distribution (Number theory) Unregelmäßigkeit (DE-588)4273192-6 gnd Wahrscheinlichkeitsverteilung (DE-588)4121894-2 gnd |
| topic_facet | Irregularities of distribution (Number theory) Unregelmäßigkeit Wahrscheinlichkeitsverteilung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001477386&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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