Number Theory
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Number Theory

Number Theory


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About the 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.Andr Weil, one of the outstanding contributors to number theory, has written a 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 Legendres Essai sur la Thorie 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.

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


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Product Details
  • ISBN-13: 9781489904324
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Height: 234 mm
  • Weight: 607 gr
  • ISBN-10: 1489904328
  • Publisher Date: 15 Jan 2014
  • Binding: Paperback
  • Spine Width: 21 mm
  • Width: 156 mm


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