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Mechanical Systems, Classical Models

Volume III: Analytical Mechanics

  • Petre P. Teodorescu

Table of contents

  1. Front Matter
    Pages I-X
  2. Petre P. Teodorescu
    Pages 1-114
  3. Petre P. Teodorescu
    Pages 115-212
  4. Petre P. Teodorescu
    Pages 213-333
  5. Petre P. Teodorescu
    Pages 411-504
  6. Petre P. Teodorescu
    Pages 505-628
  7. Petre P. Teodorescu
    Pages 629-738
  8. Back Matter
    Pages 739-772

About this book

Introduction

This third volume completes the Work Mechanical Systems, Classical Models. The first two volumes dealt with particle dynamics and with discrete and continuous mechanical systems. The present volume studies analytical mechanics. Topics like Lagrangian and Hamiltonian mechanics, the Hamilton-Jacobi method, and a study of systems with separate variables are thoroughly discussed. Also included are variational principles and canonical transformations, integral invariants and exterior differential calculus, and particular attention is given to non-holonomic mechanical systems.
The author explains in detail all important aspects of the science of mechanics, regarded as a natural science, and shows how they are useful in understanding important natural phenomena and solving problems of interest in applied and engineering sciences.
Professor Teodorescu has spent more than fifty years as a Professor of Mechanics at the University of Bucharest and this book relies on the extensive literature on the subject as well as the author's original contributions.

Audience: scientists and researchers in applied mathematics, physics and engineering.

Keywords

Lagrangian mechanics MB09 analytical methods in mechanical systems applied mathematics dynamics dynamics of mechanical systems mechanics

Authors and affiliations

  • Petre P. Teodorescu
    • 1
  1. 1.Faculty of MathematicsUniversity of BucharestBucuresti 20Romania

Bibliographic information

  • DOI https://doi.org/10.1007/978-90-481-2764-1
  • Copyright Information Springer Netherlands 2009
  • Publisher Name Springer, Dordrecht
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-90-481-2763-4
  • Online ISBN 978-90-481-2764-1
  • Series Print ISSN 1559-7458
  • Series Online ISSN 1559-7466
  • Buy this book on publisher's site
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