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The Story of Algebraic Numbers in the First Half of the 20th Century

From Hilbert to Tate

  • Reports on the progress in the theory of algebraic numbers in the first half of the 20th century
  • Offers a unique opportunity of looking at this development at all levels, including its small steps performed by people now unknown
  • May prevent rediscoveries of old results and may induce researchers to find new applications of ideas hidden in the old literature

Part of the book series: Springer Monographs in Mathematics (SMM)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xi
  2. The Birth of Algebraic Number Theory

    • Władysław Narkiewicz
    Pages 1-61
  3. The Turn of the Century

    • Władysław Narkiewicz
    Pages 63-93
  4. First Years of the Century

    • Władysław Narkiewicz
    Pages 95-139
  5. The Twenties

    • Władysław Narkiewicz
    Pages 141-187
  6. The Thirties

    • Władysław Narkiewicz
    Pages 189-227
  7. The Forties

    • Władysław Narkiewicz
    Pages 229-257
  8. Back Matter

    Pages 259-443

About this book

The book is aimed at people working in number theory or at least interested in this part of mathematics. It presents the development of the theory of algebraic numbers up to the year 1950 and contains a rather complete bibliography of that period.  The reader will get  information about results obtained before 1950. It is hoped that this may be helpful in preventing rediscoveries of old results, and might also inspire the reader to look at the work done  earlier, which may hide some  ideas which could be applied in contemporary research.

Reviews

“The book is a new masterpiece in the series of Wladislaw Narkiewicz’s books that are favourites of all researchers in number theory. … The book is truly recommended to all number theorists.” (István Gaál, zbMath 1416.11003, 2019)

Authors and Affiliations

  • University of Wrocław, Wrocław, Poland

    Władysław Narkiewicz

About the author

Wladyslaw Narkiewicz is a Polish mathematician who is particularly active in the fields of (analytic) number theory, algebra and the history of mathematics. He received his PhD in 1961 and his habilitation in 1967 at the University of Wroclaw, where he also taught from 1974 to 2006 as a full professor. He is the author of several Springer books, among which the “Rational Number Theory in the 20th Century” and “The Development of Prime Number Theory”.  Narkiewicz held during his career various administrative functions at the University of Wroclaw, including Deputy Head of the Mathematical Institute, Dean of the Faculty of Mathematics and Physics and Vice Rector for Scientific Affairs. In 1968 he was awarded the Stefan Banach Prize.


Bibliographic Information

  • Book Title: The Story of Algebraic Numbers in the First Half of the 20th Century

  • Book Subtitle: From Hilbert to Tate

  • Authors: Władysław Narkiewicz

  • Series Title: Springer Monographs in Mathematics

  • DOI: https://doi.org/10.1007/978-3-030-03754-3

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-030-03753-6Published: 29 January 2019

  • eBook ISBN: 978-3-030-03754-3Published: 18 January 2019

  • Series ISSN: 1439-7382

  • Series E-ISSN: 2196-9922

  • Edition Number: 1

  • Number of Pages: XI, 443

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Number Theory, History of Mathematical Sciences

Buy it now

Buying options

eBook USD 59.99 USD 119.00
50% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 79.99 USD 159.99
50% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access