Description

The presented mathematical textbook is devoted to presentation of several topics of higher mathematics that are either not taught in the majority of technical universities, or delivered in the form of very short courses. To fill in the gap, the authors presented a textbook that covers such mathematical topics as elements of topological, metric and vector spaces, integral transforms including Fourier, Laplace, Mellin, and some other integral transforms, more detailed presentation of matrix theory including Jordan transformation and theory of matrix functions. The textbook contains also a chapter on ordinary differential equations. It appears that these topics have never been published in such a concise and yet detailed form. The textbook is primarily intended for Master and PhD students of Civil and Geotechnical engineering to help them to appropriate the basic concepts of higher mathematics in fields of mechanics and engineering. Engineers working in the field of dynamics of structures, earthquake engineering or on seismic protection, also constitute one of the targeted readerships.