Number Theory: An approach through history from Hammurapi to Legendre
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2001
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Schriftenreihe: | Modern Birkhäuser Classics
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Number Theory or arithmetic, as some prefer to call it, is the oldest, purest, liveliest, most elementary yet sophisticated field of mathematics. It is no coincidence that the fundamental science of numbers has come to be known as the "Queen of Mathematics." Indeed some of the most complex conventions of the mathematical mind have evolved from the study of basic problems of number theory. André Weil, one of the outstanding contributors to number theory, has written an historical exposition of this subject; his study examines texts that span roughly thirty-six centuries of arithmetical work — from an Old Babylonian tablet, datable to the time of Hammurapi to Legendre’s Essai sur la Théorie des Nombres (1798). Motivated by a desire to present the substance of his field to the educated reader, Weil employs an historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. In the course of his study Weil accompanies the reader into the workshops of four major authors of modern number theory (Fermat, Euler, Lagrange and Legendre) and there he conducts a detailed and critical examination of their work. Enriched by a broad coverage of intellectual history, Number Theory represents a major contribution to the understanding of our cultural heritage. ----- A very unusual book combining thorough philological exactness, keen observation, apt comments of the essential points, picturesque fantasy, enthusiastic love of the subject, and brilliant literary style: a romantic novel of documents. It is both number theory and its history in an inseparable oneness, helping us understand the very roots and the first big stage of progress of this discipline. The author, one of the most prominent number theorists…chose to give us a broad perspective of the birth of modern number theory.--Periodica Mathematica Hungaria The volume under review...a discursive, expository, leisurely peek over the shoulders of several great authors in number theory…is perhaps unique in the enthusiasm it has inspired. --Mathematical Reviews |
Beschreibung: | 1 Online-Ressource (XXI, 377 p) |
ISBN: | 9780817645717 9780817645656 |
ISSN: | 2197-1803 |
DOI: | 10.1007/978-0-8176-4571-7 |
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Datensatz im Suchindex
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any_adam_object | |
author | Weil, André |
author_facet | Weil, André |
author_role | aut |
author_sort | Weil, André |
author_variant | a w aw |
building | Verbundindex |
bvnumber | BV042419150 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)879625132 (DE-599)BVBBV042419150 |
dewey-full | 512.7 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.7 |
dewey-search | 512.7 |
dewey-sort | 3512.7 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-0-8176-4571-7 |
era | Geschichte Anfänge-1830 gnd Geschichte 1000 v. Chr.-1825 gnd Geschichte 1700 v. Chr.-1800 gnd Geschichte 1800 v. Chr.-1800 gnd Geschichte gnd |
era_facet | Geschichte Anfänge-1830 Geschichte 1000 v. Chr.-1825 Geschichte 1700 v. Chr.-1800 Geschichte 1800 v. Chr.-1800 Geschichte |
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id | DE-604.BV042419150 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:04Z |
institution | BVB |
isbn | 9780817645717 9780817645656 |
issn | 2197-1803 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854567 |
oclc_num | 879625132 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (XXI, 377 p) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 2001 |
publishDateSearch | 2001 |
publishDateSort | 2001 |
publisher | Birkhäuser Boston |
record_format | marc |
series2 | Modern Birkhäuser Classics |
spelling | Weil, André Verfasser aut Number Theory An approach through history from Hammurapi to Legendre by André Weil Boston, MA Birkhäuser Boston 2001 1 Online-Ressource (XXI, 377 p) txt rdacontent c rdamedia cr rdacarrier Modern Birkhäuser Classics 2197-1803 Number Theory or arithmetic, as some prefer to call it, is the oldest, purest, liveliest, most elementary yet sophisticated field of mathematics. It is no coincidence that the fundamental science of numbers has come to be known as the "Queen of Mathematics." Indeed some of the most complex conventions of the mathematical mind have evolved from the study of basic problems of number theory. André Weil, one of the outstanding contributors to number theory, has written an historical exposition of this subject; his study examines texts that span roughly thirty-six centuries of arithmetical work — from an Old Babylonian tablet, datable to the time of Hammurapi to Legendre’s Essai sur la Théorie des Nombres (1798). Motivated by a desire to present the substance of his field to the educated reader, Weil employs an historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. In the course of his study Weil accompanies the reader into the workshops of four major authors of modern number theory (Fermat, Euler, Lagrange and Legendre) and there he conducts a detailed and critical examination of their work. Enriched by a broad coverage of intellectual history, Number Theory represents a major contribution to the understanding of our cultural heritage. ----- A very unusual book combining thorough philological exactness, keen observation, apt comments of the essential points, picturesque fantasy, enthusiastic love of the subject, and brilliant literary style: a romantic novel of documents. It is both number theory and its history in an inseparable oneness, helping us understand the very roots and the first big stage of progress of this discipline. The author, one of the most prominent number theorists…chose to give us a broad perspective of the birth of modern number theory.--Periodica Mathematica Hungaria The volume under review...a discursive, expository, leisurely peek over the shoulders of several great authors in number theory…is perhaps unique in the enthusiasm it has inspired. --Mathematical Reviews Euler, Leonhard 1707-1783 (DE-588)118531379 gnd rswk-swf Fermat, Pierre de 1601-1665 (DE-588)118532561 gnd rswk-swf Geschichte Anfänge-1830 gnd rswk-swf Geschichte 1000 v. Chr.-1825 gnd rswk-swf Geschichte 1700 v. Chr.-1800 gnd rswk-swf Geschichte 1800 v. Chr.-1800 gnd rswk-swf Geschichte gnd rswk-swf Mathematics Science / History Logic, Symbolic and mathematical Number theory Science (General) Number Theory History of Mathematical Sciences Mathematical Logic and Foundations Popular Science, general History of Science Geschichte Mathematik Naturwissenschaft Zahlentheorie (DE-588)4067277-3 gnd rswk-swf Geschichte (DE-588)4020517-4 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 s Geschichte (DE-588)4020517-4 s 1\p DE-604 Geschichte Anfänge-1830 z 2\p DE-604 Geschichte 1700 v. Chr.-1800 z 3\p DE-604 Geschichte 1800 v. Chr.-1800 z 4\p DE-604 Geschichte 1000 v. Chr.-1825 z 5\p DE-604 Geschichte z 6\p DE-604 Fermat, Pierre de 1601-1665 (DE-588)118532561 p 7\p DE-604 Euler, Leonhard 1707-1783 (DE-588)118531379 p 8\p DE-604 https://doi.org/10.1007/978-0-8176-4571-7 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 6\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 7\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 8\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Weil, André Number Theory An approach through history from Hammurapi to Legendre Euler, Leonhard 1707-1783 (DE-588)118531379 gnd Fermat, Pierre de 1601-1665 (DE-588)118532561 gnd Mathematics Science / History Logic, Symbolic and mathematical Number theory Science (General) Number Theory History of Mathematical Sciences Mathematical Logic and Foundations Popular Science, general History of Science Geschichte Mathematik Naturwissenschaft Zahlentheorie (DE-588)4067277-3 gnd Geschichte (DE-588)4020517-4 gnd |
subject_GND | (DE-588)118531379 (DE-588)118532561 (DE-588)4067277-3 (DE-588)4020517-4 |
title | Number Theory An approach through history from Hammurapi to Legendre |
title_auth | Number Theory An approach through history from Hammurapi to Legendre |
title_exact_search | Number Theory An approach through history from Hammurapi to Legendre |
title_full | Number Theory An approach through history from Hammurapi to Legendre by André Weil |
title_fullStr | Number Theory An approach through history from Hammurapi to Legendre by André Weil |
title_full_unstemmed | Number Theory An approach through history from Hammurapi to Legendre by André Weil |
title_short | Number Theory |
title_sort | number theory an approach through history from hammurapi to legendre |
title_sub | An approach through history from Hammurapi to Legendre |
topic | Euler, Leonhard 1707-1783 (DE-588)118531379 gnd Fermat, Pierre de 1601-1665 (DE-588)118532561 gnd Mathematics Science / History Logic, Symbolic and mathematical Number theory Science (General) Number Theory History of Mathematical Sciences Mathematical Logic and Foundations Popular Science, general History of Science Geschichte Mathematik Naturwissenschaft Zahlentheorie (DE-588)4067277-3 gnd Geschichte (DE-588)4020517-4 gnd |
topic_facet | Euler, Leonhard 1707-1783 Fermat, Pierre de 1601-1665 Mathematics Science / History Logic, Symbolic and mathematical Number theory Science (General) Number Theory History of Mathematical Sciences Mathematical Logic and Foundations Popular Science, general History of Science Geschichte Mathematik Naturwissenschaft Zahlentheorie |
url | https://doi.org/10.1007/978-0-8176-4571-7 |
work_keys_str_mv | AT weilandre numbertheoryanapproachthroughhistoryfromhammurapitolegendre |