Additive combinatorics
Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will a...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge
Cambridge University Press
2006
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| Schriftenreihe: | Cambridge studies in advanced mathematics
105 |
| Schlagworte: | |
| Online-Zugang: | DE-12 DE-92 DE-355 URL des Erstveröffentlichers |
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| 245 | 1 | 0 | |a Additive combinatorics |c Terence Tao and Van H. Vu |
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 105 | |
| 505 | 8 | |a The probabilistic method -- Sum set estimates -- Additive geometry -- Fourier analytic methods -- Inverse sumset theorems -- Graph theoretic methods -- The Littlewood-Offord problem -- Incidence geometry -- Algebraic methods -- Szemeredi's theorem for k = 3 -- Szemeredi's theorem for k> 3 -- Long arithmetic progressions in sumsets | |
| 520 | |a Additive combinatorics is the theory of counting additive structures in sets. This theory has seen exciting developments and dramatic changes in direction in recent years thanks to its connections with areas such as number theory, ergodic theory and graph theory. This graduate-level 2006 text will allow students and researchers easy entry into this fascinating field. Here, the authors bring together in a self-contained and systematic manner the many different tools and ideas that are used in the modern theory, presenting them in an accessible, coherent, and intuitively clear manner, and providing immediate applications to problems in additive combinatorics. The power of these tools is well demonstrated in the presentation of recent advances such as Szemerédi's theorem on arithmetic progressions, the Kakeya conjecture and Erdos distance problems, and the developing field of sum-product estimates. The text is supplemented by a large number of exercises and new results | ||
| 650 | 4 | |a Additive combinatorics | |
| 650 | 0 | 7 | |a Graphentheorie |0 (DE-588)4113782-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kombinatorik |0 (DE-588)4031824-2 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Graphentheorie |0 (DE-588)4113782-6 |D s |
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Datensatz im Suchindex
| DE-BY-UBR_katkey | 6110786 |
|---|---|
| _version_ | 1822665511122501632 |
| any_adam_object | |
| author | Tao, Terence 1975- |
| author_GND | (DE-588)132190370 (DE-588)14082247X |
| author_facet | Tao, Terence 1975- |
| author_role | aut |
| author_sort | Tao, Terence 1975- |
| author_variant | t t tt |
| building | Verbundindex |
| bvnumber | BV043940571 |
| classification_rvk | SK 890 SK 170 SK 840 |
| collection | ZDB-20-CBO |
| contents | The probabilistic method -- Sum set estimates -- Additive geometry -- Fourier analytic methods -- Inverse sumset theorems -- Graph theoretic methods -- The Littlewood-Offord problem -- Incidence geometry -- Algebraic methods -- Szemeredi's theorem for k = 3 -- Szemeredi's theorem for k> 3 -- Long arithmetic progressions in sumsets |
| ctrlnum | (ZDB-20-CBO)CR9780511755149 (OCoLC)992887676 (DE-599)BVBBV043940571 |
| dewey-full | 511/.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.6 |
| dewey-search | 511/.6 |
| dewey-sort | 3511 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511755149 |
| format | Electronic eBook |
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| id | DE-604.BV043940571 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-24T05:33:57Z |
| institution | BVB |
| isbn | 9780511755149 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349541 |
| oclc_num | 992887676 |
| open_access_boolean | |
| owner | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| physical | 1 Online-Ressource (xviii, 512 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spellingShingle | Tao, Terence 1975- Additive combinatorics Cambridge studies in advanced mathematics The probabilistic method -- Sum set estimates -- Additive geometry -- Fourier analytic methods -- Inverse sumset theorems -- Graph theoretic methods -- The Littlewood-Offord problem -- Incidence geometry -- Algebraic methods -- Szemeredi's theorem for k = 3 -- Szemeredi's theorem for k> 3 -- Long arithmetic progressions in sumsets Additive combinatorics Graphentheorie (DE-588)4113782-6 gnd Kombinatorik (DE-588)4031824-2 gnd |
| subject_GND | (DE-588)4113782-6 (DE-588)4031824-2 |
| title | Additive combinatorics |
| title_auth | Additive combinatorics |
| title_exact_search | Additive combinatorics |
| title_full | Additive combinatorics Terence Tao and Van H. Vu |
| title_fullStr | Additive combinatorics Terence Tao and Van H. Vu |
| title_full_unstemmed | Additive combinatorics Terence Tao and Van H. Vu |
| title_short | Additive combinatorics |
| title_sort | additive combinatorics |
| topic | Additive combinatorics Graphentheorie (DE-588)4113782-6 gnd Kombinatorik (DE-588)4031824-2 gnd |
| topic_facet | Additive combinatorics Graphentheorie Kombinatorik |
| url | https://doi.org/10.1017/CBO9780511755149 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT taoterence additivecombinatorics AT vuvanh additivecombinatorics |