Number Theory
An approach through history from Hammurapi to Legendre
(Sprache: Englisch)
This book presents a historical overview of number theory. It examines texts that span some thirty-six centuries of arithmetical work, from an Old Babylonian tablet to Legendre's Essai sur la Théorie des Nombres, written in 1798. Coverage employs a...
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Klappentext zu „Number Theory “
This book presents a historical overview of number theory. It examines texts that span some thirty-six centuries of arithmetical work, from an Old Babylonian tablet to Legendre's Essai sur la Théorie des Nombres, written in 1798. Coverage employs a historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. The book also takes the reader into the workshops of four major authors of modern number theory: Fermat, Euler, Lagrange and Legendre and presents a detailed and critical examination of their work.
Inhaltsverzeichnis zu „Number Theory “
- Preface- Table of illustrations
- Abbreviations, basic references and notations
- Protohistory
- Fermat and his Correspondents
- Euler
- An Age of Transition: Lagrange and Legendre
- Additional bibliography and references
- Index nominum
- Index rerum
Autoren-Porträt von Andre Weil
Number Theory or arithmetic, as some prefer to call it, is the oldest, purest, liveliest, most elementary yet sophisticated field of mathematics. This book presents a historical overview of number theory. It examines texts that span some thirty-six centuries of arithmetical work, from an Old Babylonian tablet to Legendre's Essai sur la Théorie des Nombres, written in 1798. Coverage employs a historical approach in the analysis of problems and evolving methods of number theory and their significance within mathematics. The book also takes the reader into the workshops of four major authors of modern number theory: Fermat, Euler, Lagrange and Legendre and presents 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 heritageBibliographische Angaben
- Autor: Andre Weil
- 2006, 2001., 377 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer
- ISBN-10: 0817645659
- ISBN-13: 9780817645656
- Erscheinungsdatum: 22.12.2006
Sprache:
Englisch
Rezension zu „Number Theory “
"The book makes a fascinating reading, permitting to perceive the birth of new ideas, and to understand why they should have been born... There are four chapters: Protohistory, Fermat and his correspondents, Euler and An age of transition: Lagrange and Legendre, and also several appendices, which introduce a modern point of view and provide proofs for many mentioned results. The book is strongly recommended to anybody interested in the history of mathematics and should be on the shelf of every number-theorist."
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