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The complete works of Gabrio Piola: Volume I

Commented English Translation

  • Book
  • © 2014

Overview

Editors:
  1. Francesco dell'Isola

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

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  2. Giulio Maier

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

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  3. Umberto Perego

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

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  4. Ugo Andreaus

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

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  5. Raffaele Esposito

    1. Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università dell'Aquila, L'Aquila, Italy

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  6. Samuel Forest

    1. Centre des Matériaux, MINES Paristech, Evry Cedex, France

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  • First English translation of Piola's complete work
  • Proofs the sustainability of Piola’s work and his impact on modern science
  • Comments of a committee of famous scientists present the work into a contemporary context
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advanced Structured Materials (STRUCTMAT, volume 38)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-x
    Download chapter PDF

  2. Intorno alle equazioni fondamentali del movimento di corpi qualsivogliono, considerati secondo la naturale loro forma e costituzione

    • Francesco dell’Isola, Ugo Andreaus, Luca Placidi, Daria Scerrato
    Pages 1-370

  3. Di un principio controverso della meccanica analitica di lagrange e delle molteplici sue applicazioni

    • Francesco dell’Isola, Ugo Andreaus, Antonio Cazzani, Umberto Perego, Luca Placidi, Giuseppe Ruta et al.
    Pages 371-590

  4. 1818 Discorso necrologico del Prof. Gabrio Piola

    • Francesco dell’Isola, Ugo Andreaus
    Pages 592-604

  5. Least Action Principle for Second Gradient Continua and Capillary Fluids: A Lagrangian Approach Following Piola’s Point of View

    • Francesco dell’Isola, Nicolas Auffray, Victor A. Eremeyev, Angela Madeo, Luca Placidi, Giuseppe Rosi
    Pages 606-694

  6. A Still Topical Contribution of Gabrio Piola to Continuum Mechanics: The Creation of Peri-dynamics, Non-local and Higher Gradient Continuum Mechanics

    • Francesco dell’Isola, Ugo Andreaus, Luca Placidi
    Pages 696-750

  7. Gabrio Piola and Balance Equations

    • Giuseppe Ruta
    Pages 752-784

  8. Gabrio Piola and Mathematical Physics

    • Danilo Capecchi
    Pages 788-813
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Keywords

About this book

Gabrio Piola works had an enormous impact on the development of applied mathematics and continuum mechanics. An excellent scientific committee who took it upon themselves to translate his complete works. In a second step, they commented Piola’s work and compared it to modern theories in mechanics in order to stress Piola’s impact on modern science and proofs that he has set milestones in applied mathematics.
This book presents Piola's original Italian text together with ist translations and their comments. It shows impressively that Gabrio Piola’s work must still be regarded as a modern theory.

Editors and Affiliations

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

    Francesco dell'Isola

  • Department of Structural Engineering, Technical University of Milan, Milano, Italy

    Giulio Maier

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

    Umberto Perego

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

    Ugo Andreaus

  • Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica, Università dell'Aquila, L'Aquila, Italy

    Raffaele Esposito

  • Centre des Matériaux, MINES Paristech, Evry Cedex, France

    Samuel Forest

About the editors

Gabrio Piola (1794-1850) was an Italian mathematician and physicists active on the field of theory of mechanics

Bibliographic Information

  • Book Title: The complete works of Gabrio Piola: Volume I

  • Book Subtitle: Commented English Translation

  • Editors: Francesco dell'Isola, Giulio Maier, Umberto Perego, Ugo Andreaus, Raffaele Esposito, Samuel Forest

  • Series Title: Advanced Structured Materials

  • DOI: https://doi.org/10.1007/978-3-319-00263-7

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-00262-0Published: 15 July 2014

  • Softcover ISBN: 978-3-319-34334-1Published: 17 September 2016

  • eBook ISBN: 978-3-319-00263-7Published: 02 July 2014

  • Series ISSN: 1869-8433

  • Series E-ISSN: 1869-8441

  • Edition Number: 1

  • Number of Pages: X, 813

  • Number of Illustrations: 4 b/w illustrations

  • Additional Information: Commented English translation of the original Italian works, published between 1825 und 1856

  • Topics: Solid Mechanics, Computational Science and Engineering, Classical Mechanics

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