Problems and theorems in classical set theory
This is the first comprehensive collection of problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come from the period between 1920-1970. Many problems are also related to ot...
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| Glavni autori: | , , |
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Izdanje: | 1st ed. 2006. |
| Serija: | Problem Books in Mathematics
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| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
Description d'après consultation du 16 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Problems and theorems in classical set theory, Péter Komjáth and Vilmos Totik, 2006, New York, Springer, 1 vol. (XII-514 p.), Problem books in mathematics, 978-0387-30293-5 • Stochastic integral equations and rainfall-runoff models, Theodore V. Hromadka II, Robert J. Whitley, Berlin, Springer-Verl., 1989, XVIII-384 p., 3-540-51086-9 • Problems and theorems in classical set theory, Péter Komjáth and Vilmos Totik, 2006, New York, Springer, 1 vol. (XII-514 p.), Problem books in mathematics, 978-0387-30293-5 • Problems and theorems in classical set theory, Péter Komjáth and Vilmos Totik, 2006, New York, Springer, 1 vol. (XII-514 p.), Problem books in mathematics, 978-0387-30293-5 • Problems and Theorems in Classical Set Theory, Texte imprimé, 9781071603710 |
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| 009 | PPN123109671 | ||
| 020 | |a 9780387362199 | ||
| 041 | 0 | |a eng | |
| 082 | |a 511.3 | ||
| 084 | |a 03Exx. 2000 | ||
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| 084 | |a 11Bxx. 2000 | ||
| 100 | 1 | |a Komjáth, Péter, |d 19..- | |
| 245 | 1 | 0 | |a Problems and theorems in classical set theory |c by Péter Komjáth, Vilmos Totik. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Problem Books in Mathematics |x 2197-8506 | |
| 500 | |a Description d'après consultation du 16 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Glossaire. Index | ||
| 505 | 1 | |a Problems Operations on sets Countability Equivalence Continuum Sets of reals and real functions Ordered sets Order types Ordinals Ordinal arithmetic Cardinals Partially ordered sets Transfinite enumeration Euclidean spaces Zorn s lemma Hamel bases The continuum hypothesis Ultrafilters on ? Families of sets The Banach-Tarski paradox Stationary sets in ?1 Stationary sets in larger cardinals Canonical functions Infinite graphs Partition relations ?-systems Set mappings Trees The measure problem Stationary sets in [?]<? The axiom of choice Well-founded sets and the axiom of foundation Solutions Operations on sets Countability Equivalence Continuum Sets of reals and real functions Ordered sets Order types Ordinals Ordinal arithmetic Cardinals Partially ordered sets Transfinite enumeration Euclidean spaces Zorn s lemma Hamel bases The continuum hypothesis Ultrafilters on ? Families of sets | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This is the first comprehensive collection of problems in set theory. Most of classical set theory is covered, classical in the sense that independence methods are not used, but classical also in the sense that most results come from the period between 1920-1970. Many problems are also related to other fields of mathematics such as algebra, combinatorics, topology and real analysis. The authors choose not to concentrate on the axiomatic framework, although some aspects are elaborated (axiom of foundation and the axiom of choice). Rather than using drill exercises, most problems are challenging and require work, wit, and inspiration. The problems are organized in a way that earlier problems help in the solution of later ones. For many problems, the authors trace the origin and provide proper references at the end of the solution. The book follows a tradition of Hungarian mathematics started with Pólya-Szegõ's problem book in analysis and continued with Lovász' problem book in combinatorics. This is destined to become a classic, and will be an important resource for students and researchers. Péter Komjáth is a professor of mathematics at the Eötvös Lóránd University, Budapest. Vilmos Totik is a professor of mathematics at the University of South Florida, Tampa and University of Szeged. | ||
| 650 | |a Ensembles, Théorie des | ||
| 700 | 1 | |a Totik, Vilmos, |d 1954- |4 aut | |
| 700 | 1 | |a Totik, Vilmos. |4 aut | |
| 776 | 0 | |0 108927733 |t Problems and theorems in classical set theory |f Péter Komjáth and Vilmos Totik |d 2006 |c New York |n Springer |p 1 vol. (XII-514 p.) |s Problem books in mathematics |z 978-0387-30293-5 | |
| 776 | 0 | |0 155649965 |t Stochastic integral equations and rainfall-runoff models |f Theodore V. Hromadka II, Robert J. Whitley |c Berlin |n Springer-Verl. |d 1989 |p XVIII-384 p. |z 3-540-51086-9 | |
| 776 | 0 | |0 108927733 |t Problems and theorems in classical set theory |f Péter Komjáth and Vilmos Totik |d 2006 |c New York |n Springer |p 1 vol. (XII-514 p.) |s Problem books in mathematics |z 978-0387-30293-5 | |
| 776 | 0 | |0 108927733 |t Problems and theorems in classical set theory |f Péter Komjáth and Vilmos Totik |d 2006 |c New York |n Springer |p 1 vol. (XII-514 p.) |s Problem books in mathematics |z 978-0387-30293-5 | |
| 776 | 0 | |t Problems and Theorems in Classical Set Theory |b Texte imprimé |z 9781071603710 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/0-387-36219-3 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-P2P94N40-2 |z Accès sur la plateforme Istex | |
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| 856 | 4 | |5 180339901:750918152 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/0-387-36219-3 |z Accès INSA CVL | |
| 997 | |0 937955 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||