Mathematics of the 19th Century: Mathematical Logic Algebra Number Theory Probability Theory
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1992
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This multi-authored effort, Mathematics of the nineteenth century (to be followed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as well. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend, first, to unravel the forces that shape mathematical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and philosophy. Through an analysis of mathematical history proper, we hope to delineate the relationships among the various mathematical disciplines and to evaluate mathematical achievements in the light of the current state and future prospects of the science. The difficulties confronting us considerably exceeded those encountered in preparing the three-volume edition |
| Beschreibung: | 1 Online-Ressource (XIV, 308 p) |
| ISBN: | 9783034851121 9783034851145 |
| DOI: | 10.1007/978-3-0348-5112-1 |
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Datensatz im Suchindex
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| adam_text | |
| any_adam_object | |
| author2 | Kolmogorov, Andrej Nikolaevič 1903-1987 Juškevič, Adolʹf P. 1906-1993 |
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| author_facet | Kolmogorov, Andrej Nikolaevič 1903-1987 Juškevič, Adolʹf P. 1906-1993 |
| building | Verbundindex |
| bvnumber | BV042421856 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1184506471 (DE-599)BVBBV042421856 |
| dewey-full | 510.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510.9 |
| dewey-search | 510.9 |
| dewey-sort | 3510.9 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-5112-1 |
| era | Geschichte 1801-1900 gnd Geschichte 1801-1930 gnd |
| era_facet | Geschichte 1801-1900 Geschichte 1801-1930 |
| format | Electronic eBook |
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| indexdate | 2025-02-21T01:14:43Z |
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| isbn | 9783034851121 9783034851145 |
| language | English |
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| spelling | Mathematics of the 19th Century Mathematical Logic Algebra Number Theory Probability Theory edited by A. N. Kolmogorov, A. P. Yushkevich Basel Birkhäuser Basel 1992 1 Online-Ressource (XIV, 308 p) txt rdacontent c rdamedia cr rdacarrier This multi-authored effort, Mathematics of the nineteenth century (to be followed by Mathematics of the twentieth century), is a sequel to the History of mathematics fram antiquity to the early nineteenth century, published in three 1 volumes from 1970 to 1972. For reasons explained below, our discussion of twentieth-century mathematics ends with the 1930s. Our general objectives are identical with those stated in the preface to the three-volume edition, i. e. , we consider the development of mathematics not simply as the process of perfecting concepts and techniques for studying real-world spatial forms and quantitative relationships but as a social process as well. Mathematical structures, once established, are capable of a certain degree of autonomous development. In the final analysis, however, such immanent mathematical evolution is conditioned by practical activity and is either self-directed or, as is most often the case, is determined by the needs of society. Proceeding from this premise, we intend, first, to unravel the forces that shape mathematical progress. We examine the interaction of mathematics with the social structure, technology, the natural sciences, and philosophy. Through an analysis of mathematical history proper, we hope to delineate the relationships among the various mathematical disciplines and to evaluate mathematical achievements in the light of the current state and future prospects of the science. The difficulties confronting us considerably exceeded those encountered in preparing the three-volume edition Geschichte 1801-1900 gnd rswk-swf Geschichte 1801-1930 gnd rswk-swf Mathematics Science (General) Science / History History of Mathematical Sciences History of Science Science, general Geschichte Mathematik Naturwissenschaft Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Wahrscheinlichkeitstheorie (DE-588)4079013-7 s Geschichte 1801-1930 z 2\p DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s Geschichte 1801-1900 z 3\p DE-604 Kolmogorov, Andrej Nikolaevič 1903-1987 (DE-588)119056399 edt Juškevič, Adolʹf P. 1906-1993 (DE-588)119538849 edt https://doi.org/10.1007/978-3-0348-5112-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mathematics of the 19th Century Mathematical Logic Algebra Number Theory Probability Theory Mathematics Science (General) Science / History History of Mathematical Sciences History of Science Science, general Geschichte Mathematik Naturwissenschaft Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
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| title | Mathematics of the 19th Century Mathematical Logic Algebra Number Theory Probability Theory |
| title_auth | Mathematics of the 19th Century Mathematical Logic Algebra Number Theory Probability Theory |
| title_exact_search | Mathematics of the 19th Century Mathematical Logic Algebra Number Theory Probability Theory |
| title_full | Mathematics of the 19th Century Mathematical Logic Algebra Number Theory Probability Theory edited by A. N. Kolmogorov, A. P. Yushkevich |
| title_fullStr | Mathematics of the 19th Century Mathematical Logic Algebra Number Theory Probability Theory edited by A. N. Kolmogorov, A. P. Yushkevich |
| title_full_unstemmed | Mathematics of the 19th Century Mathematical Logic Algebra Number Theory Probability Theory edited by A. N. Kolmogorov, A. P. Yushkevich |
| title_short | Mathematics of the 19th Century |
| title_sort | mathematics of the 19th century mathematical logic algebra number theory probability theory |
| title_sub | Mathematical Logic Algebra Number Theory Probability Theory |
| topic | Mathematics Science (General) Science / History History of Mathematical Sciences History of Science Science, general Geschichte Mathematik Naturwissenschaft Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
| topic_facet | Mathematics Science (General) Science / History History of Mathematical Sciences History of Science Science, general Geschichte Mathematik Naturwissenschaft Wahrscheinlichkeitstheorie Wahrscheinlichkeitsrechnung Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-0348-5112-1 |
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