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This book has its source in the authors' wish to create a bridge
between the mathematical and the technical disciplines, which need
a good knowledge of a strong mathematical tool. The necessity of
such an interdisciplinary work drove the authors to publish a first
book to this aim with Editura Tehnica, Bucharest, Romania. The
present book is a new, English edition of the volume published in
1999. It contains many improvements concerning the theoretical
(mathematical) information, as well as new topics, using enlarged
and updated references. Only ordinary differential equations and
their solutions in an analytical frame were considered, leaving
aside their numerical approach. The problem is firstly stated in
its mechanical frame. Then the mathematical model is set up,
emphasizing on the one hand the physical magnitude playing the part
of the unknown function and on the other hand the laws of mechanics
that lead to an ordinary differential equation or system.
The present book has its source in the authors wish to create a
bridge between the mathematical and the technical disciplines,
which need a good knowledge of a strong mathematical tool. The
necessity of such an interdisciplinary work drove the authors to
publish a first book to this aim with Editura Tehnica, Bucharest,
Romania.
The present book is a new, English edition of the volume published
in 1999. It contains many improvements concerning the theoretical
(mathematical) information, as well as new topics, using enlarged
and updated references. Only ordinary differential equations and
their solutions in an analytical frame were considered, leaving
aside their numerical approach.
The problem is firstly stated in its mechanical frame. Then the
mathematical model is set up, emphasizing on the one hand the
physical magnitude playing the part of the unknown function and on
the other hand the laws of mechanics that lead to an ordinary
differential equation or system. The solution is then obtained by
specifying the mathematical methods described in the corresponding
theoretical presentation. Finally a mechanical interpretation of
the solution is provided, this giving rise to a complete knowledge
of the studied phenomenon.
The number of applications was increased, and many of these
problems appear currently in engineering. "
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