Modern Birkhäuser Classics

Number Theory

An approach through history From Hammurapi to Legendre

Authors: Weil, André

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-0-8176-4571-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-0-8176-4565-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

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

Reviews

"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


Table of contents (4 chapters)

Buy this book

eBook 67,82 €
price for Spain (gross)
  • ISBN 978-0-8176-4571-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 83,19 €
price for Spain (gross)
  • ISBN 978-0-8176-4565-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Number Theory
Book Subtitle
An approach through history From Hammurapi to Legendre
Authors
Series Title
Modern Birkhäuser Classics
Copyright
2001
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-4571-7
DOI
10.1007/978-0-8176-4571-7
Softcover ISBN
978-0-8176-4565-6
Series ISSN
2197-1803
Edition Number
1
Number of Pages
XXI, 377
Number of Illustrations and Tables
19 b/w illustrations
Additional Information
Originally published as a monograph
Topics