Ergodic theory of numbers:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Washington, D.C.
Mathematical Association of America
[2002]
|
| Series: | Carus mathematical monographs
vol. 29 |
| Subjects: | |
| Online Access: | DE-1046 DE-1047 |
| Physical Description: | 1 Online-Ressource (x, 190 Seiten) Illustrationen, Diagramme |
| ISBN: | 1614440271 9781614440277 |
Staff View
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| 264 | 1 | |a Washington, D.C. |b Mathematical Association of America |c [2002] | |
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Record in the Search Index
| _version_ | 1820889707984191488 |
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| adam_text | |
| any_adam_object | |
| author | Dajani, Karma 1958- Kraaikamp, Cor |
| author_GND | (DE-588)1238264913 |
| author_facet | Dajani, Karma 1958- Kraaikamp, Cor |
| author_role | aut aut |
| author_sort | Dajani, Karma 1958- |
| author_variant | k d kd c k ck |
| building | Verbundindex |
| bvnumber | BV043038457 |
| classification_rvk | SK 180 SK 810 SG 590 SK 170 SK 380 SK 860 SK 950 SK 820 SK 680 SK 750 SK 990 SK 490 SK 780 SK 399 |
| collection | ZDB-4-EBA ebook |
| contents | Variations on a theme -- Ergodicity -- Systems obtained from other systems -- Diophantine approximation and continued fractions -- Entropy This book is an introduction to the ergodic theory behind common number expansions, for instance decimal expansions, continued fractions and many others. The questions studied are dynamical as well as number theoretic in nature, and the answers are obtained with the help of ergodic theory. What it means to be ergodic and the basic ideas behind ergodic theory are explained along the way. The book is aimed at introducing students with sufficient background knowledge in real analysis to a 'dynamical way of thinking'. The subjects covered vary from the classical to recent research which should increase the appeal of this book to researchers working in the field |
| ctrlnum | (OCoLC)877868949 (DE-599)BVBBV043038457 |
| dewey-full | 515/.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.42 |
| dewey-search | 515/.42 |
| dewey-sort | 3515 242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte 1963-1980 gnd Geschichte 1950-1962 gnd Geschichte 1947-1949 gnd |
| era_facet | Geschichte 1963-1980 Geschichte 1950-1962 Geschichte 1947-1949 |
| format | Electronic eBook |
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| genre | (DE-588)4179998-7 Monografische Reihe gnd-content |
| genre_facet | Monografische Reihe |
| id | DE-604.BV043038457 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T19:02:27Z |
| institution | BVB |
| isbn | 1614440271 9781614440277 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028463104 |
| oclc_num | 877868949 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 DE-11 |
| owner_facet | DE-1046 DE-1047 DE-11 |
| physical | 1 Online-Ressource (x, 190 Seiten) Illustrationen, Diagramme |
| psigel | ZDB-4-EBA ebook ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Mathematical Association of America |
| record_format | marc |
| series | Carus mathematical monographs |
| series2 | Carus mathematical monographs |
| spelling | Dajani, Karma 1958- Verfasser (DE-588)1238264913 aut Ergodic theory of numbers Karma Dajani (University of Utrecht), Cor Kraaikamp (Delft University of Technology) Washington, D.C. Mathematical Association of America [2002] © 2002 1 Online-Ressource (x, 190 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Carus mathematical monographs vol. 29 Geschichte 1963-1980 gnd rswk-swf Geschichte 1950-1962 gnd rswk-swf Geschichte 1947-1949 gnd rswk-swf Teoria ergodica larpcal Ergodentheorie swd Zahlentheorie swd Ergodic theory fast MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Ergodic theory Einfache Gruppe (DE-588)4123107-7 gnd rswk-swf Irrfahrtsproblem (DE-588)4162442-7 gnd rswk-swf Schwarzsche Differentialinvariante (DE-588)4180361-9 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Fehlerkorrekturcode (DE-588)4124917-3 gnd rswk-swf Ergodentheorie (DE-588)4015246-7 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Elektrisches Netzwerk (DE-588)4014214-0 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Funktionentheorie (DE-588)4018935-1 gnd rswk-swf Kugelpackung (DE-588)4165929-6 gnd rswk-swf (DE-588)4179998-7 Monografische Reihe gnd-content Ergodentheorie (DE-588)4015246-7 s Zahlentheorie (DE-588)4067277-3 s DE-604 Fehlerkorrekturcode (DE-588)4124917-3 s Geschichte 1947-1949 z Einfache Gruppe (DE-588)4123107-7 s Geschichte (DE-588)4020517-4 s Kugelpackung (DE-588)4165929-6 s Geschichte 1950-1962 z Geschichte 1963-1980 z Differentialgeometrie (DE-588)4012248-7 s Funktionentheorie (DE-588)4018935-1 s Elektrisches Netzwerk (DE-588)4014214-0 s Irrfahrtsproblem (DE-588)4162442-7 s Schwarzsche Differentialinvariante (DE-588)4180361-9 s Kraaikamp, Cor Verfasser aut Erscheint auch als Druck-Ausgabe 978-0-88385-034-3 Erscheint auch als Druck-Ausgabe, Hardcover 978-0-88385-000-8 Carus mathematical monographs vol. 29 (DE-604)BV049579437 29 |
| spellingShingle | Dajani, Karma 1958- Kraaikamp, Cor Ergodic theory of numbers Variations on a theme -- Ergodicity -- Systems obtained from other systems -- Diophantine approximation and continued fractions -- Entropy This book is an introduction to the ergodic theory behind common number expansions, for instance decimal expansions, continued fractions and many others. The questions studied are dynamical as well as number theoretic in nature, and the answers are obtained with the help of ergodic theory. What it means to be ergodic and the basic ideas behind ergodic theory are explained along the way. The book is aimed at introducing students with sufficient background knowledge in real analysis to a 'dynamical way of thinking'. The subjects covered vary from the classical to recent research which should increase the appeal of this book to researchers working in the field Teoria ergodica larpcal Ergodentheorie swd Zahlentheorie swd Ergodic theory fast MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Ergodic theory Einfache Gruppe (DE-588)4123107-7 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd Schwarzsche Differentialinvariante (DE-588)4180361-9 gnd Geschichte (DE-588)4020517-4 gnd Fehlerkorrekturcode (DE-588)4124917-3 gnd Ergodentheorie (DE-588)4015246-7 gnd Differentialgeometrie (DE-588)4012248-7 gnd Elektrisches Netzwerk (DE-588)4014214-0 gnd Zahlentheorie (DE-588)4067277-3 gnd Funktionentheorie (DE-588)4018935-1 gnd Kugelpackung (DE-588)4165929-6 gnd Carus mathematical monographs |
| subject_GND | (DE-588)4123107-7 (DE-588)4162442-7 (DE-588)4180361-9 (DE-588)4020517-4 (DE-588)4124917-3 (DE-588)4015246-7 (DE-588)4012248-7 (DE-588)4014214-0 (DE-588)4067277-3 (DE-588)4018935-1 (DE-588)4165929-6 (DE-588)4179998-7 |
| title | Ergodic theory of numbers |
| title_auth | Ergodic theory of numbers |
| title_exact_search | Ergodic theory of numbers |
| title_full | Ergodic theory of numbers Karma Dajani (University of Utrecht), Cor Kraaikamp (Delft University of Technology) |
| title_fullStr | Ergodic theory of numbers Karma Dajani (University of Utrecht), Cor Kraaikamp (Delft University of Technology) |
| title_full_unstemmed | Ergodic theory of numbers Karma Dajani (University of Utrecht), Cor Kraaikamp (Delft University of Technology) |
| title_short | Ergodic theory of numbers |
| title_sort | ergodic theory of numbers |
| topic | Teoria ergodica larpcal Ergodentheorie swd Zahlentheorie swd Ergodic theory fast MATHEMATICS / Calculus bisacsh MATHEMATICS / Mathematical Analysis bisacsh Ergodic theory Einfache Gruppe (DE-588)4123107-7 gnd Irrfahrtsproblem (DE-588)4162442-7 gnd Schwarzsche Differentialinvariante (DE-588)4180361-9 gnd Geschichte (DE-588)4020517-4 gnd Fehlerkorrekturcode (DE-588)4124917-3 gnd Ergodentheorie (DE-588)4015246-7 gnd Differentialgeometrie (DE-588)4012248-7 gnd Elektrisches Netzwerk (DE-588)4014214-0 gnd Zahlentheorie (DE-588)4067277-3 gnd Funktionentheorie (DE-588)4018935-1 gnd Kugelpackung (DE-588)4165929-6 gnd |
| topic_facet | Teoria ergodica Ergodentheorie Zahlentheorie Ergodic theory MATHEMATICS / Calculus MATHEMATICS / Mathematical Analysis Einfache Gruppe Irrfahrtsproblem Schwarzsche Differentialinvariante Geschichte Fehlerkorrekturcode Differentialgeometrie Elektrisches Netzwerk Funktionentheorie Kugelpackung Monografische Reihe |
| url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=760882 |
| volume_link | (DE-604)BV049579437 |
| work_keys_str_mv | AT dajanikarma ergodictheoryofnumbers AT kraaikampcor ergodictheoryofnumbers |