The Elements of Mechanics

  • Giovanni Gallavotti

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

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Giovanni Gallavotti
    Pages 1-9
  3. Giovanni Gallavotti
    Pages 10-140
  4. Giovanni Gallavotti
    Pages 245-362
  5. Back Matter
    Pages 521-575

About this book

Introduction

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.

Keywords

Mechanik degrees of freedom differential equation eigenvalue elasticity ergodic theory mechanics quantum mechanics solution stability statistical mechanics

Authors and affiliations

  • Giovanni Gallavotti
    • 1
  1. 1.Istituto di MatematicaUniversita degli Studi di RomaRomeItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-00731-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1983
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-00733-4
  • Online ISBN 978-3-662-00731-0
  • Series Print ISSN 1864-5879
  • Series Online ISSN 1864-5887
  • About this book