By Vadim Komkov (auth.)

ISBN-10: 9400945647

ISBN-13: 9789400945647

ISBN-10: 9401085293

ISBN-13: 9789401085298

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**Additional info for Variational Principles of Continuum Mechanics with Engineering Applications: Volume 1: Critical Points Theory**

**Example text**

From here on let us repeat the classical argument of Euler. ~ at It=Q =

Plex numbers but it does not have to be so). In this case we consider the functions of n variables which are required to obey some additional condition&. Under the map I: X + R to each such function there corresponds a unique real number (in the case when R is the field of real numbers) f i (x l ,x 2 , ... ,x n ) l + R . For example, consider the definite integral Xl I (y) = J F (x, y (x) , y' (x) ) dx. ann integrable, we have a unique real number corresponding to the'value of this Riemann integral.

It is easy to show that the topological dual of an n-dimensional linear vector space is again an n-dimensional linear vector space. q. =

### Variational Principles of Continuum Mechanics with Engineering Applications: Volume 1: Critical Points Theory by Vadim Komkov (auth.)

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