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Mechanical Systems, Classical Models

Volume I: Particle Mechanics

  • Petre P. Teodorescu

Table of contents

  1. Front Matter
    Pages I-XII
  2. Petre P. Teodorescu
    Pages 1-74
  3. Petre P. Teodorescu
    Pages 75-114
  4. Petre P. Teodorescu
    Pages 115-200
  5. Petre P. Teodorescu
    Pages 201-286
  6. Petre P. Teodorescu
    Pages 287-351
  7. Petre P. Teodorescu
    Pages 401-467
  8. Petre P. Teodorescu
    Pages 469-542
  9. Petre P. Teodorescu
    Pages 543-595
  10. Petre P. Teodorescu
    Pages 595-691
  11. Back Matter
    Pages 745-780

About this book

Introduction

All phenomena in nature are characterized by motion; this is an essential property of matter, having infinitely many aspects. Motion can be mechanical, physical, chemical or biological, leading to various sciences of nature, mechanics being one of them. Mechanics deals with the objective laws of mechanical motion of bodies, the simplest form of motion.

In the study of a science of nature mathematics plays an important role. Mechanics is the first science of nature which was expressed in terms of mathematics by considering various mathematical models, associated to phenomena of the surrounding nature. Thus, its development was influenced by the use of a strong mathematical tool; on the other hand, we must observe that mechanics also influenced the introduction and the development of many mathematical notions.

In this respect, the guideline of the present book is precisely the mathematical model of mechanics. A special accent is put on the solving methodology as well as on the mathematical tools used; vectors, tensors and notions of field theory. Continuous and discontinuous phenomena, various mechanical magnitudes are presented in a unitary form by means of the theory of distributions. Some appendices give the book an autonomy with respect to other works, special previous mathematical knowledge being not necessary.

Some applications connected to important phenomena of nature are presented, and this also gives one the possibility to solve problems of interest from the technical, engineering point of view. In this form, the book becomes – we dare say – a unique outline of the literature in the field; the author wishes to present the most important aspects connected with the study of mechanical systems, mechanics being regarded as a science of nature, as well as its links to other sciences of nature. Implications in technical sciences are not neglected.

Audience:
Librarians, and researchers interested in the fundamentals of mechanics

Keywords

Degrees of freedom MB07 Potential mass geometry mechanics of the systems of forces particle dynamics statics and kinematics

Authors and affiliations

  • Petre P. Teodorescu
    • 1
  1. 1.Faculty of MathematicsUniversity of BucharestRomania

Bibliographic information

  • DOI https://doi.org/10.1007/1-4020-5442-4
  • Copyright Information Springer 2007
  • Publisher Name Springer, Dordrecht
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-1-4020-5441-9
  • Online ISBN 978-1-4020-5442-6
  • Series Print ISSN 1559-7458
  • Buy this book on publisher's site