Lectures on irregularities of distribution:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bombay
TATA Inst. of Fundamental Research
1977
|
| Series: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
56 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 128 S. |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV002248251 | ||
| 003 | DE-604 | ||
| 005 | 20050131 | ||
| 007 | t | ||
| 008 | 890928s1977 |||| 00||| eng d | ||
| 035 | |a (OCoLC)3554741 | ||
| 035 | |a (DE-599)BVBBV002248251 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-703 |a DE-29T |a DE-83 | ||
| 050 | 0 | |a QA324 | |
| 082 | 0 | |a 515.7/82 | |
| 084 | |a SI 890 |0 (DE-625)143210: |2 rvk | ||
| 100 | 1 | |a Schmidt, Wolfgang M. |d 1933- |e Verfasser |0 (DE-588)136169627 |4 aut | |
| 245 | 1 | 0 | |a Lectures on irregularities of distribution |c by Wolfgang M. Schmidt. Notes by T. N. Shorey |
| 264 | 1 | |a Bombay |b TATA Inst. of Fundamental Research |c 1977 | |
| 300 | |a 128 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 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) | |
| 650 | 0 | 7 | |a Unregelmäßigkeit |0 (DE-588)4273192-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Wahrscheinlichkeitsverteilung |0 (DE-588)4121894-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Wahrscheinlichkeitsverteilung |0 (DE-588)4121894-2 |D s |
| 689 | 0 | 1 | |a Unregelmäßigkeit |0 (DE-588)4273192-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 810 | 2 | |a Mathematics |t Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics |v 56 |w (DE-604)BV000015654 |9 56 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-nveb | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-001477386 | ||
Record in the Search Index
| _version_ | 1804116704300630016 |
|---|---|
| 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- |
| author_GND | (DE-588)136169627 |
| author_facet | Schmidt, Wolfgang M. 1933- |
| author_role | aut |
| author_sort | Schmidt, Wolfgang M. 1933- |
| author_variant | w m s wm wms |
| building | Verbundindex |
| bvnumber | BV002248251 |
| callnumber-first | Q - Science |
| callnumber-label | QA324 |
| callnumber-raw | QA324 |
| callnumber-search | QA324 |
| callnumber-sort | QA 3324 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 890 |
| ctrlnum | (OCoLC)3554741 (DE-599)BVBBV002248251 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01816nam a2200397 cb4500</leader><controlfield tag="001">BV002248251</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20050131 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">890928s1977 |||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)3554741</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV002248251</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA324</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7/82</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 890</subfield><subfield code="0">(DE-625)143210:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Schmidt, Wolfgang M.</subfield><subfield code="d">1933-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)136169627</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Lectures on irregularities of distribution</subfield><subfield code="c">by Wolfgang M. Schmidt. Notes by T. N. Shorey</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Bombay</subfield><subfield code="b">TATA Inst. of Fundamental Research</subfield><subfield code="c">1977</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">128 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics</subfield><subfield code="v">56</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Irregularities of distribution (Number theory)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Unregelmäßigkeit</subfield><subfield code="0">(DE-588)4273192-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Wahrscheinlichkeitsverteilung</subfield><subfield code="0">(DE-588)4121894-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Wahrscheinlichkeitsverteilung</subfield><subfield code="0">(DE-588)4121894-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Unregelmäßigkeit</subfield><subfield code="0">(DE-588)4273192-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="810" ind1="2" ind2=" "><subfield code="a">Mathematics</subfield><subfield code="t">Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics</subfield><subfield code="v">56</subfield><subfield code="w">(DE-604)BV000015654</subfield><subfield code="9">56</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">TUB-nveb</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-001477386</subfield></datafield></record></collection> |
| id | DE-604.BV002248251 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:44Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001477386 |
| oclc_num | 3554741 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-703 DE-29T DE-83 |
| owner_facet | DE-91G DE-BY-TUM DE-703 DE-29T DE-83 |
| physical | 128 S. |
| psigel | TUB-nveb |
| 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 |
| volume_link | (DE-604)BV000015654 |
| work_keys_str_mv | AT schmidtwolfgangm lecturesonirregularitiesofdistribution |