A History of Algorithms

From the Pebble to the Microchip

  • Jean-Luc Chabert

Table of contents

  1. Front Matter
    Pages I-IX
  2. Jean-Luc Chabert
    Pages 1-6
  3. Jean-Luc Chabert
    Pages 7-47
  4. Jean-Luc Chabert
    Pages 49-81
  5. Jean-Luc Chabert
    Pages 83-112
  6. Jean-Luc Chabert
    Pages 113-138
  7. Jean-Luc Chabert
    Pages 139-167
  8. Jean-Luc Chabert
    Pages 169-197
  9. Jean-Luc Chabert
    Pages 199-237
  10. Jean-Luc Chabert
    Pages 239-281
  11. Jean-Luc Chabert
    Pages 283-317
  12. Jean-Luc Chabert
    Pages 319-351
  13. Jean-Luc Chabert
    Pages 353-371
  14. Jean-Luc Chabert
    Pages 373-403
  15. Jean-Luc Chabert
    Pages 405-428
  16. Jean-Luc Chabert
    Pages 429-454
  17. Jean-Luc Chabert
    Pages 455-480
  18. Back Matter
    Pages 481-524

About this book

Introduction

A Source Book for the History of Mathematics, but one which offers a different perspective by focusing on algorithms. With the development of computing has come an awakening of interest in algorithms. Often neglegted by historians and modern scientists, more concerned with the nature of concepts, algorithmic procedures turn out to have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice. Each chapter centres around a theme, more or less in chronological order, and the story is told through the reading of over 200 original texts, faithfully reproduced. This provides an opportunity for the reader to sit alongside such mathematicians as Archimedes, Omar Khayyam, Newton, Euler and Gauss as they explain their techniques. The book ends with an account of the development of the modern concept of algorithm.

Keywords

Approximation Bézout's identity History of Mathematics Interpolation Newton's method Turing machine algorithm algorithms computer logarithms mathematics

Editors and affiliations

  • Jean-Luc Chabert
    • 1
  1. 1.University of PicardyFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-18192-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1999
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63369-3
  • Online ISBN 978-3-642-18192-4
  • About this book