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Magic Squares

Their History and Construction from Ancient Times to AD 1600

  • Jacques Sesiano
Book

Part of the Sources and Studies in the History of Mathematics and Physical Sciences book series (SHMP)

Table of contents

  1. Front Matter
    Pages i-xii
    PDF
  2. Introduction
    Jacques Sesiano
    Pages 1-19
  3. Ordinary magic squares
    Jacques Sesiano
    Pages 21-106
  4. Composite magic squares
    Jacques Sesiano
    Pages 107-139
  5. Bordered magic squares
    Jacques Sesiano
    Pages 141-175
  6. Bordered squares with separation by parity
    Jacques Sesiano
    Pages 177-210
  7. Magic squares with non-consecutive numbers
    Jacques Sesiano
    Pages 211-251
  8. Other magic figures
    Jacques Sesiano
    Pages 253-280
  9. Back Matter
    Pages 281-313
    PDF

About this book

Introduction

The science of magic squares witnessed an important development in the Islamic world during the Middle Ages, with a great variety of construction methods being created and ameliorated. The initial step was the translation, in the ninth century, of an anonymous Greek text containing the description of certain highly developed arrangements, no doubt the culmination of ancient research on magic squares.

Keywords

diagonal placing method of the cross composite magic squares method of Stifel magic triangles magic crosses magic circles magic rectangles

Authors and affiliations

  • Jacques Sesiano
    • 1
  1. 1.GenevaSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-030-17993-9
  • Copyright Information Springer Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-030-17992-2
  • Online ISBN 978-3-030-17993-9
  • Series Print ISSN 2196-8810
  • Series Online ISSN 2196-8829
  • Buy this book on publisher's site