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."
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