Skip to main content
  • Book
  • © 2014

Continuum Mechanics Through the Eighteenth and Nineteenth Centuries

Historical Perspectives from John Bernoulli (1727) to Ernst Hellinger (1914)

Authors:

  • Thorough analysis of the expansion of the principles of mechanics after Newton until WWI
  • Rational exposition of the development of the notion of stress and energy-related quantities
  • Historical perspective based on the analysis of original authors (with English translation of texts where needed)
  • Includes supplementary material: sn.pub/extras

Part of the book series: Solid Mechanics and Its Applications (SMIA, volume 214)

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

About this book

Conceived as a series of more or less autonomous essays, the present book critically exposes the initial developments of continuum thermo-mechanics in a post Newtonian period extending from the creative works of the Bernoullis to the First World war, i.e., roughly during first the “Age of reason” and next the “Birth of the modern world”. The emphasis is rightly placed on the original contributions from the “Continental” scientists (the Bernoulli family, Euler, d’Alembert, Lagrange, Cauchy, Piola, Duhamel, Neumann, Clebsch, Kirchhoff, Helmholtz, Saint-Venant, Boussinesq, the Cosserat brothers, Caratheodory) in competition with their British peers (Green, Kelvin, Stokes, Maxwell, Rayleigh, Love,..). It underlines the main breakthroughs as well as the secondary ones. It highlights the role of scientists who left essential prints in this history of scientific ideas. The book shows how the formidable developments that blossomed in the twentieth century (and perused in a previous book of the author in the same Springer Series: “Continuum Mechanics through the Twentieth Century”, Springer 2013) found rich compost in the constructive foundational achievements of the eighteenth and nineteenth centuries. The pre-WWI situation is well summarized by a thorough analysis of treatises (Appell, Hellinger) published at that time. English translations by the author of most critical texts in French or German are given to the benefit of the readers.

Reviews

From the book reviews:

“In this very interesting book, the author analyzes the significant contributions of different European scientists to the field of continuum mechanics, starting from John Bernoulli in the 18th century to Hellinger at the beginning of the 20th century. … the author ensures the possibility to different possible readers, specialists or non-specialists of this field, to be acquainted with the progress of scientific ideas along the past centuries.” (Alain Brillard, zbMATH, Vol. 1303, 2015)

Authors and Affiliations

  • Institut Jean Le Rond d'Alembert, Université Pierre et Marie Curie, Paris Cedex 05, France

    Gérard A. Maugin

Bibliographic Information

  • Book Title: Continuum Mechanics Through the Eighteenth and Nineteenth Centuries

  • Book Subtitle: Historical Perspectives from John Bernoulli (1727) to Ernst Hellinger (1914)

  • Authors: Gérard A. Maugin

  • Series Title: Solid Mechanics and Its Applications

  • DOI: https://doi.org/10.1007/978-3-319-05374-5

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-05373-8Published: 16 April 2014

  • Softcover ISBN: 978-3-319-35792-8Published: 03 September 2016

  • eBook ISBN: 978-3-319-05374-5Published: 04 April 2014

  • Series ISSN: 0925-0042

  • Series E-ISSN: 2214-7764

  • Edition Number: 1

  • Number of Pages: XI, 269

  • Number of Illustrations: 22 b/w illustrations, 5 illustrations in colour

  • Topics: Solid Mechanics, Analysis, Classical Mechanics, History of Science

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access