History & Mathematics: Trends and Cycles. Yearbook

The present yearbook (which is the fourth in the series) is subtitled Trends & Cycles.
It is devoted to cyclical and trend dynamics in society and nature; special attention is paid
to economic and demographic aspects, in particular to the mathematical modeling of the
Malthusian and post-Malthusian traps' dynamics.
An increasingly important role is played by new directions in historical research that
study long-term dynamic processes and quantitative changes. This kind of history can hardly
develop without the application of mathematical methods. There is a tendency to study history
as a system of various processes, within which one can detect waves and cycles of different
lengths – from a few years to several centuries, or even millennia. The contributions to this
yearbook present a qualitative and quantitative analysis of global historical, political, economic
and demographic processes, as well as their mathematical models.
This issue of the yearbook consists of three main sections: (I) Long-Term Trends in
Nature and Society; (II) Cyclical Processes in Pre-industrial Societies; (III) Contemporary
History and Processes.
We hope that this issue of the yearbook will be interesting and useful both for historians
and mathematicians, as well as for all those dealing with various social and natural
sciences.