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A History of Algorithms

From the Pebble to the Microchip

  • Book
  • © 1999

Overview

Editors:
  1. Jean-Luc Chabert

    1. University of Picardy, France

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About this book

A Source Book for the History of Mathematics, but one which offers a different perspective by focusinng on algorithms. With the development of computing has come an awakening of interest in algorithms. Often neglected 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.

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-IX
    Download chapter PDF

  2. Introduction

    • Jean-Luc Chabert
    Pages 1-6

  3. Algorithms for Arithmetic Operations

    • Jean-Luc Chabert
    Pages 7-47

  4. Magic Squares

    • Jean-Luc Chabert
    Pages 49-81

  5. Methods of False Position

    • Jean-Luc Chabert
    Pages 83-112

  6. Euclid’s Algorithm

    • Jean-Luc Chabert
    Pages 113-138

  7. From Measuring the Circle to Calculating π

    • Jean-Luc Chabert
    Pages 139-167

  8. Newton’s Methods

    • Jean-Luc Chabert
    Pages 169-197

  9. Solving Equations by Successive Approximations

    • Jean-Luc Chabert
    Pages 199-237

  10. Algorithms in Arithmetic

    • Jean-Luc Chabert
    Pages 239-281

  11. Solving Systems of Linear Equations

    • Jean-Luc Chabert
    Pages 283-317

  12. Tables and Interpolation

    • Jean-Luc Chabert
    Pages 319-351

  13. Approximate Quadratures

    • Jean-Luc Chabert
    Pages 353-371

  14. Approximate Solutions of Differential Equations

    • Jean-Luc Chabert
    Pages 373-403

  15. Approximation of Functions

    • Jean-Luc Chabert
    Pages 405-428

  16. Acceleration of Convergence

    • Jean-Luc Chabert
    Pages 429-454

  17. Towards the Concept of Algorithm

    • Jean-Luc Chabert
    Pages 455-480

  18. Back Matter

    Pages 481-524
    Download chapter PDF
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Editors and Affiliations

  • University of Picardy, France

    Jean-Luc Chabert

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