Solid Mechanics and Its Applications

Continuum Mechanics Through the Eighteenth and Nineteenth Centuries

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

Authors: Maugin, Gérard A.

  • 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)
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  • ISBN 978-3-319-05374-5
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Hardcover $179.00
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Softcover $179.00
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  • Due: October 21, 2016
  • ISBN 978-3-319-35792-8
  • Free shipping for individuals worldwide
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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)

Table of contents (13 chapters)

  • General Introduction: About the Contents and Form of this Book

    Maugin, Gérard A.

    Pages 1-6

  • A Glimpse at the Eighteenth Century: From John Bernoulli to Lagrange

    Maugin, Gérard A.

    Pages 7-32

  • What Happened on September 30, 1822, and What Were its Implications for the Future of Continuum Mechanics?

    Maugin, Gérard A.

    Pages 33-54

  • Piola and Kirchhoff: On Changes of Configurations

    Maugin, Gérard A.

    Pages 55-68

  • Duhamel’s Pioneering Work in Thermo-elasticity and Its Legacy

    Maugin, Gérard A.

    Pages 69-75

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-3-319-05374-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-3-319-05373-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $179.00
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: October 21, 2016
  • ISBN 978-3-319-35792-8
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

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
Series Title
Solid Mechanics and Its Applications
Series Volume
214
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-05374-5
DOI
10.1007/978-3-319-05374-5
Hardcover ISBN
978-3-319-05373-8
Softcover ISBN
978-3-319-35792-8
Series ISSN
0925-0042
Edition Number
1
Number of Pages
XI, 269
Number of Illustrations and Tables
22 b/w illustrations, 5 illustrations in colour
Topics