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＜電子ブック＞
Number Theory : An approach through history From Hammurapi to Legendre / by André Weil
(Modern Birkhäuser Classics. ISSN:21971811)

版	1st ed. 2001.
出版者	Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser
出版年	2001
本文言語	英語
大きさ	XXI, 377 p. 19 illus : online resource
冊子体	Number theory : an approach through history from Hammurapi to Legendre / André Weil
著者標目	*Weil, André author SpringerLink (Online service)
件　名	LCSH:Number theory LCSH:Mathematics LCSH:History LCSH:Mathematical logic LCSH:Engineering LCSH:Life sciences LCSH:Social sciences LCSH:Humanities FREE:Number Theory FREE:History of Mathematical Sciences FREE:Mathematical Logic and Foundations FREE:Technology and Engineering FREE:Life Sciences FREE:Humanities and Social Sciences
一般注記	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 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 underreview...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 Accessibility summary: This PDF is not accessible. It is based on scanned pages and does not support features such as screen reader compatibility or described non-text content (images, graphs etc). However, it likely supports searchable and selectable text based on OCR (Optical Character Recognition). Users with accessibility needs may not be able to use this content effectively. Please contact us at accessibilitysupport@springernature.com if you require assistance or an alternative format Inaccessible, or known limited accessibility No reading system accessibility options actively disabled Publisher contact for further accessibility information: accessibilitysupport@springernature.com HTTP:URL=https://doi.org/10.1007/978-0-8176-4571-7

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