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The Complete Works of Gabrio Piola: Volume II

Commented English Translation

  • Book
  • © 2019

Overview

Editors:
  1. Francesco dell'Isola

    1. Dipartimento di Ingegneria Struttur, Università di Roma "La Sapienza" Dipartimento di Ingegneria Struttur, Roma, Italy

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  2. Ugo Andreaus

    1. Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Roma "La Sapienza", Roma, Italy

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  3. Antonio Cazzani

    1. Dipartimento di Ingegneria Meccanic, University of Trento, Trento, Italy

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  4. Raffaele Esposito

    1. M&MOCS - Universita' dell'Aquila, Cisterna di Latina, Italy

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  5. Luca Placidi

    1. International Telematic University UNINETTUNO, Roma, Italy

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  6. Umberto Perego

    1. Dipartimento di Ingegneria Strutturale, Politecnico di Milano, Milano, Italy

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  7. Giulio Maier

    1. Department of Structural Engineering, Technical University (Politecnico) of Milan, Milano, Italy

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  8. Pierre Seppecher

    1. U.F.R. des Sciences et Techniques, Université de Toulon et du Var ANAM, Cedex, France

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  • Offers the first English translation of Piola’s complete works
  • Proves the sustainability of Piola’s work and his impact on modern science
  • Provides comments by a committee of leading scientists, presenting the work into a contemporary context

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 97)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. Introductory remarks about the Volume II of the Complete Works of Gabrio Piola

    • Francesco dell’Isola, Ugo Andreaus, Antonio Cazzani, Emilio Barchiesi
    Pages 1-22

  3. On the Applications of Principles of Analytical Mechanics by Lagrange to the Principal Problems

    • Francesco dell’Isola, Marco Laudato, Daria Scerrato
    Pages 23-579

  4. On the Theory of Pendulum

    • Antonio Cazzani
    Pages 581-665

  5. A Supplement to the Memoir on the Theory of Pendulum

    • Antonio Cazzani
    Pages 667-727

  6. Reflections on the Units and on the Measures of the Various Physical Quantities

    • Ugo Andreaus
    Pages 729-845

  7. Lettere di Evasio a Uranio toccanti lo studio delle matematiche

    • Danilo Capecchi
    Pages 847-931

  8. Hamilton Principle in Piola’s work published in 1825

    • Fabio Di Cosmo, Marco Laudato
    Pages 933-949
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Keywords

About this book

This book presents the second volume of Piola’s original Italian text together with the English-language translation and comments, showing convincingly that Gabrio Piola’s work must still be regarded as a modern theory. Gabrio Piola’s work has had an enormous impact on the development of applied mathematics and continuum mechanics. As such, a committee of scientific experts took it upon themselves to translate his complete works. In a second step, they commented on Piola’s work and compared it to modern theories in mechanics in order to stress Piola’s impact on modern science and prove and confirm that he achieved significant milestones in applied mathematics.

Editors and Affiliations

  • Dipartimento di Ingegneria Struttur, Università di Roma "La Sapienza" Dipartimento di Ingegneria Struttur, Roma, Italy

    Francesco dell'Isola

  • Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Roma "La Sapienza", Roma, Italy

    Ugo Andreaus

  • Dipartimento di Ingegneria Meccanic, University of Trento, Trento, Italy

    Antonio Cazzani

  • M&MOCS - Universita' dell'Aquila, Cisterna di Latina, Italy

    Raffaele Esposito

  • International Telematic University UNINETTUNO, Roma, Italy

    Luca Placidi

  • Dipartimento di Ingegneria Strutturale, Politecnico di Milano, Milano, Italy

    Umberto Perego

  • Department of Structural Engineering, Technical University (Politecnico) of Milan, Milano, Italy

    Giulio Maier

  • U.F.R. des Sciences et Techniques, Université de Toulon et du Var ANAM, Cedex, France

    Pierre Seppecher

About the editors

Gabrio Piola (1794–1850) was an Italian mathematician and physicists active in the field of the theory of mechanics.

Bibliographic Information

  • Book Title: The Complete Works of Gabrio Piola: Volume II

  • Book Subtitle: Commented English Translation

  • Editors: Francesco dell'Isola, Ugo Andreaus, Antonio Cazzani, Raffaele Esposito, Luca Placidi, Umberto Perego, Giulio Maier, … Pierre Seppecher

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-319-70692-4

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-319-70690-0Published: 20 October 2018

  • Softcover ISBN: 978-3-030-09982-4Published: 22 December 2018

  • eBook ISBN: 978-3-319-70692-4Published: 06 October 2018

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: XII, 949

  • Number of Illustrations: 8 b/w illustrations, 1 illustrations in colour

  • Additional Information: Original works published in Italian between 1824 and 1850

  • Topics: Solid Mechanics, Mathematical Applications in the Physical Sciences, History and Philosophical Foundations of Physics

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