Skip to main content
  • Book
  • © 2007

Mechanical Systems, Classical Models

Volume 1: Particle Mechanics

  • Mechanics has been at the heart of theoretical physics, ever since Ernst Mach's seminal work on the subject

  • Presents a thoroughly up-to-date treatment of the fundamentals behind how mechanical theories are constructed

  • The author has spent a lifetime studying this subject and brings together all of his experience and thought on the mechanics of particles into this volume

  • Comprehensive with references to over 600 books

Buying options

eBook USD 229.00
Price excludes VAT (USA)
  • ISBN: 978-1-4020-5442-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 299.99
Price excludes VAT (USA)
Hardcover Book USD 299.99
Price excludes VAT (USA)

This is a preview of subscription content, access via your institution.

Table of contents (10 chapters)

  1. Front Matter

    Pages I-XII
  2. Newtonian Model of Mechanics

    • Petre P. Teodorescu
    Pages 1-74
  3. Mechanics of the Systems of Forces

    • Petre P. Teodorescu
    Pages 75-114
  4. Mass Geometry. Displacements. Constraints

    • Petre P. Teodorescu
    Pages 115-200
  5. Statics

    • Petre P. Teodorescu
    Pages 201-286
  6. Kinematics

    • Petre P. Teodorescu
    Pages 287-351
  7. Problems of Dynamics of the Particle

    • Petre P. Teodorescu
    Pages 401-467
  8. Dynamics of the Particle in a Field of Elastic Forces

    • Petre P. Teodorescu
    Pages 469-542
  9. Newtonian Theory of Universal Attraction

    • Petre P. Teodorescu
    Pages 543-595
  10. Other Considerations on Particle Dynamics

    • Petre P. Teodorescu
    Pages 595-691
  11. Back Matter

    Pages 745-780

About this book

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

Reviews

From the reviews:

"This book is the first volume of a treatise on the classical theory of mechanical systems. … The book is useful at the graduate level in physics and mechanical engineering, as well as in mathematics. … The mathematical aspects are carefully presented. The text provides a detailed analysis of some generic examples, which will be enough to show how the theory is applied, at least for experienced readers. The subjects covered by the text are divided into 10 large chapters." (José Fernández-Núñez, Mathematical Reviews, Issue 2008 j)

Authors and Affiliations

  • Faculty of Mathematics, University of Bucharest, Romania

    Petre P. Teodorescu

About the author

Prof. Dr. Doc. Petre P. Teodorescu
Born: June 30, 1929, Bucuresti.
M.Sc.: Faculty of Mathematics of the University of Bucharest, 1952; Faculty of Bridges of the Technical University of Civil Engineering, Bucharest, 1953.
Ph.D.: "Calculus of rectangular deep beams in a general case of support and loading", Technical University of Civil Engineering, Bucharest, 1955.
Academic Positions: Consulting Professor.
at the University of Bucharest, Faculty of Mathematics.
Fields of Research: Mechanics of Deformable Solids (especially Elastic Solids), Mathematical Methods of Calculus in Mechanics.
Selected Publications:
1. "Applications of the Theory of Distributions in Mechanics", Editura Academiei-Abacus Press, Bucuresti-Tunbrige Wells, Kent, 1974 (with W. Kecs);
2. "Dynamics of Linear Elastic Bodies", Editura Academiei-Abacus Press, Bucuresti-Tunbrige Wells, Kent, 1975;
3. "Spinor and Non-Euclidean Tensor Calculus with Applications", Editura Tehnicã-Abacus Press, Bucuresti-Tunbrige Wells, Kent, 1983 (with I. Beju and E. Soos);
4. "Mechanical Systems", vol. I, II, Editura Tehnicã, Bucuresti, 1988.
Invited Addresses: The 2nd European Conference of Solid Mechanics, September 1994, Genoa, Italy: Leader of a Section of the Conference and a Communication.
Lectures Given Abroad: Hannover, Dortmund, Paderborn, Germany, 1994; Padova, Pisa, Italy, 1994.
Additional Information: Prize "Gh. Titeica" of the Romanian Academy in 1966; Member in the Advisory Board of Meccanica (Italy), Mechanics Research Communications and Letters in Applied Engineering Sciences (U.S.A.); Member of GAMM (Germany) and AMS (U.S.A.); Reviewer: Mathematical Reviews, Zentralblatt fuer Mathematik und ihre Grenzgebiete, Ph.D. advisor.

Bibliographic Information

Buying options

eBook USD 229.00
Price excludes VAT (USA)
  • ISBN: 978-1-4020-5442-6
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 299.99
Price excludes VAT (USA)
Hardcover Book USD 299.99
Price excludes VAT (USA)