Classical mechanics
 
                       Dimiter Trifonov
 
 

       Preface (reduced translation)

The foundations of the classical nonrelativistic and relativistic mechanics are described in the frameworks of the university courses of Theoretical physics I (Theoretical mechanics). The book is written on the base of lectures delivered by the author in the "K. Preslavski" and "N. Rilski" universities. It could also be useful (as a reference book) to researchers in the fields of science.

The exposition of the material is mainly deductive. It resorts to several primary properties of space and time, and to variational least action principle, by means of which the equations of motion are derived.

Compared to some other Classical mechanics courses (e.g. to those included in the reference list) here the covariant and invariant properties of the equations of motion (in their Lagrangian and Hamiltonian forms) are described in greater detail, and the integrals of motion as well. Some new results are also obtained (e.g. for the canonicity criteria, barion-tachyon transformations).  Another feature is the inclusion of some elements of modern differential geometric and algebraic methods along with the development in the main text.  At the end of the chapters abstract of the main results and illustrative problems are provided.  At many places further reading sources are pointed out.

The author thanks the referees prof. A.S. Antonov and prof. A.N. Antonov for the valuable remarks and recommendations.
 

D. Trifonov
Sofia, August 2002
 
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