A History of Chinese Mathematics - Martzloff, Jean-Claude
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The book is made up of two mutually explanatory parts, the first devoted to the general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. This section is organised topically rather than chronologically, and is enriched in each case by examples, guides on how to intepret the contextual setting and by exhaustive references - both mathematical and sinological. This makes the book uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of…mehr

Produktbeschreibung
The book is made up of two mutually explanatory parts, the first devoted to the general, historical and cultural background, and the second to the development of each subdiscipline that together comprise Chinese mathematics. This section is organised topically rather than chronologically, and is enriched in each case by examples, guides on how to intepret the contextual setting and by exhaustive references - both mathematical and sinological. This makes the book uniquely accessible, both as a topical reference work, and also as an overview that can be read and reread at many levels of sophistication by both sinologists and mathematicians alike. Indeed anyone with an interest in Chinese culture or the history of ideas will derive great benefit from this book.
  • Produktdetails
  • Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
  • Artikelnr. des Verlages: 11693352
  • Softcover reprint of the original 1st ed. 1997
  • Seitenzahl: 512
  • Erscheinungstermin: 20. Juli 2006
  • Englisch
  • Abmessung: 235mm x 155mm x 27mm
  • Gewicht: 810g
  • ISBN-13: 9783540337829
  • ISBN-10: 3540337822
  • Artikelnr.: 20824267
Inhaltsangabe
The Context of Chinese Mathematics.- The Historiographical Context.- The Historical Context.- The Notion of Chinese Mathematics.- Applications of Chinese Mathematics.- The Structure of Mathematical Works.- Mathematical Terminology.- Modes of Reasoning.- Chinese Mathematicians.- The Transmission of Knowledge.- Influences and Transmission.- Main Works and Main Authors (from the Origins to 1600).- The Content of Chinese Mathematics.- Numbers and Numeration.- Calculating Instruments.- Techniques for Numerical Computation.- Geometry.- Indeterminate Problems.- Approximation Formulae.- Li Shanlan's Summation Formulae.- Infinite Series.- Magic Squares and Puzzles.
Rezensionen
From the reviews:

"...a truly scholarly and balanced exposition..."-Zentralblatt für Mathematik "...crammed with insights, cautionary tales and a great deal of information about current research... will surely become a standard reference for students, teachers and researchers alike" -Annals of Science

"Martzloff, together with Karine Chemla and Catherine Jami, is part of a French research group on the history of Chinese mathematics. Together, they have made substantial contributions to the field. In particular, they have brought to the field a more sophisticated and reflective attitude towards the writing of history. ... Martzloff remains the best introduction to the subject and his 'Bibliographical Orientation' at the end should open up a huge world of texts and historical studies for anyone who wants to go further." (Fernando Q. Gouvêa, MathDL - Online, October, 2006)