More than 1,900 Springer Protocols eBooks at just $9.99 each! Get yours today>>

Science Networks. Historical Studies

Seventeenth-Century Indivisibles Revisited

Editors: Jullien, Vincent (Ed.)

  • The first exhaustive study on the indivisibles
  • A mathematical, historical and philosophical approach of the intrusion and use of infinity in geometry during the XVIIth century
  • Written by a team of well known scholars, after long common work and discussions
  • Explains in what sense we can think about infinite, atom, continuity, indivisible in mathematics
see more benefits

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-319-00131-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-319-00130-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-37495-6
  • Free shipping for individuals worldwide
About this book

The tremendous success of indivisibles methods in geometry in the seventeenth century, responds to a vast project: installation of infinity in mathematics. The pathways by the authors are very diverse, as are the characterizations of indivisibles, but there are significant factors of unity between the various doctrines of indivisible; the permanence of the language used by all authors is the strongest sign.

These efforts do not lead to the stabilization of a mathematical theory (with principles or axioms, theorems respecting these first statements, followed by applications to a set of geometric situations), one must nevertheless admire the magnitude of the results obtained by these methods and highlights the rich relationships between them and integral calculus.

The present book aims to be exhaustive since it analyzes the works of all major inventors of methods of indivisibles during the seventeenth century, from Kepler to Leibniz. It takes into account the rich existing literature usually devoted to a single author. This book results from the joint work of a team of specialists able to browse through this entire important episode in the history of mathematics and to comment it.

The list of authors involved in indivisibles´ field is probably sufficient to realize the richness of this attempt; one meets Kepler, Cavalieri, Galileo, Torricelli, Gregoire de Saint Vincent, Descartes, Roberval, Pascal, Tacquet, Lalouvère, Guldin, Barrow, Mengoli, Wallis, Leibniz, Newton.

Reviews

“This book, which contains contributions by twelve historians of mathematics, provides a fascinating insight into the background and the rise of new ways of handling indivisibles in the 17th century. … The editor, Vincent Jullien, has given the book a unity that is praiseworthy and (almost) indivisible.” (William R. Shea, Mathematical Reviews, May, 2016)


Table of contents (20 chapters)

  • Explaining the Sudden Rise of Methods of Indivisibles

    Jullien, Vincent

    Pages 1-18

  • From Aristotle to the Classical Age, the Debates Around Indivisibilism

    Celeyrette, Jean

    Pages 19-30

  • Cavalieri’s Indivisibles

    Andersen, Kirsti (et al.)

    Pages 31-55

  • Kepler, Cavalieri, Guldin. Polemics with the Departed

    Radelet-de Grave, Patricia

    Pages 57-86

  • Indivisibles in the Work of Galileo

    Jullien, Vincent

    Pages 87-103

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-319-00131-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-319-00130-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $169.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 4, 2016
  • ISBN 978-3-319-37495-6
  • Free shipping for individuals worldwide
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Seventeenth-Century Indivisibles Revisited
Editors
  • Vincent Jullien
Series Title
Science Networks. Historical Studies
Series Volume
49
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-00131-9
DOI
10.1007/978-3-319-00131-9
Hardcover ISBN
978-3-319-00130-2
Softcover ISBN
978-3-319-37495-6
Series ISSN
1421-6329
Edition Number
1
Number of Pages
VI, 499
Number of Illustrations and Tables
161 b/w illustrations, 70 illustrations in colour
Topics