Number Theory. An Approach through History. From Hammurapi to Legendre.

WEIL, André (1906-1998):

ISBN 10: 0817631410 / ISBN 13: 9780817631413

Published by Boston, etc.: Birkhäuser, 1984., 1984

About this Item

First Edition. Frontispiece (= fig. 1), xxi, 375 pp; 17 figs. Original cloth. Near Fine, in near fine dust jacket. Seller Inventory # 15157

Bibliographic Details

Title: Number Theory. An Approach through History. ...

Publisher: Boston, etc.: Birkhäuser, 1984.

Publication Date: 1984

Binding: Hardcover

Condition: Near Fine

Dust Jacket Condition: Near Fine

Edition: 1st Edition

About this title

Synopsis:

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.

Review:

"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."

--Zentralblatt Math

"As the author says, this is a historical treatment of that oldest and purest field of mathematics, the theory of numbers; his presentation is meticulous and scholarly... The volume under review...is a discursive, expository, leisurely peek over the shoulders of several great authors in number theory, a subject "conspicuous for the quality rather than for the number of its devotees; at the same time it is perhaps unique in the enthusiasm it has inspired", as Professor Weil says in his preface."

--Mathematical Reviews

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