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The Elements of Mechanics

  • Textbook
  • © 1983

Overview

Authors:
  1. Giovanni Gallavotti

    1. Istituto di Matematica, Universita degli Studi di Roma, Rome, Italy

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Part of the book series: Theoretical and Mathematical Physics (TMP)

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Table of contents (5 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Phenomenic Reality and Models

    • Giovanni Gallavotti
    Pages 1-9

  3. Qualitative Aspects of One-Dimensional Motion

    • Giovanni Gallavotti
    Pages 10-140

  4. Systems with Many Degrees of Freedom. Theory of the Constraints. Analytical Mechanics

    • Giovanni Gallavotti
    Pages 141-244

  5. Special Mechanical Systems

    • Giovanni Gallavotti
    Pages 245-362

  6. Stability Properties for Dissipative and Conservative Systems

    • Giovanni Gallavotti
    Pages 363-520

  7. Back Matter

    Pages 521-575
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Keywords

About this book

The word "elements" in the title of this book does not convey the implica­ tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978.

Authors and Affiliations

  • Istituto di Matematica, Universita degli Studi di Roma, Rome, Italy

    Giovanni Gallavotti

Bibliographic Information

  • Book Title: The Elements of Mechanics

  • Authors: Giovanni Gallavotti

  • Series Title: Theoretical and Mathematical Physics

  • DOI: https://doi.org/10.1007/978-3-662-00731-0

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1983

  • Softcover ISBN: 978-3-662-00733-4Published: 13 July 2013

  • eBook ISBN: 978-3-662-00731-0Published: 17 April 2013

  • Series ISSN: 1864-5879

  • Series E-ISSN: 1864-5887

  • Edition Number: 1

  • Number of Pages: XIV, 575

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Classical Mechanics, Mathematical Methods in Physics

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