The dialectics of the nature and society always and everywhere has mutual character. As the nature continuously and constantly influences society, and society continuously and constantly influences the nature. There are the various directions concerning influence of the environment on the person in which often is absolutized either one, or other party of dialectic unity.

It has been shown that the most changed is the subalpine belt in which the human interfering in natural biocenosis is carried out. As a result of it there is a violation in extending of a specific composition of vegetation, more inconvertible and fitted species dominate, breaking thereby an equilibrium in phytocenosis. Alpine and subniveal belts owing to the inaccessibility test smaller actions and by that differ preservation of natural vegetation.

The experience of studying mountain lands in transitional ecotone zone of upper forest border of West Caucasus coniferous forests to subalpine plains let to realize quality-quantity evaluation of main elements of Hortobionts habitat, but to turn out on creating integral logic-mathematical model of phase habitat.

This paper proposes a new algorithm for division of numbers in the residue number system, based on the use of the approximate method of comparison of modular numbers. It is shown that the algorithm for computing complexity better than known analogs. Technical implementation of the proposed algorithm, and examples of his work are shown.

In the article a physical model of the effect of changing the transparency of the colloidal solution of nanoparticles in kerosene by pulsed electric field, taking into account the effect on the optical parameters of the effect of space charge near the electrode and the concentration wave of magnetic nanoparticles. It is shown that for the first correct explanation of the features of optical effects in the near-electrode region of the need to account polydispersity of nanoparticles and their aggregates.

The article influence of a relief on dynamics of thermal convection that is very important at definition of a condition of the atmosphere is considered. The accounting of heterogeneity of a relief of the Stavropol Krai will allow to predict the phenomena, being accompanied intensive convective processes.

In the present work the wind dynamics in the interface of the damp atmosphere is investigated and change of a hodograph of a wind is shown at various synoptic situations.

In the article it is proved a theorem on the determination of the divisibility properties of the elliptic curve, improved algorithms for finding the order of the elliptic curve. Its effective implementation is achieved through a system of residual classes and approximate methods.

The article suggests a method of determination of the eigenvalues of the correlation matrix to assess the diversity of incoherent noise reception using the method of rotations.

The estimation of scales of retrograde condensations is made at a gas regime of working out for one of almost produced giant gas-condensate deposits of the world.

The main tendencies and contradictions of the development of the countries of Western Europe and the USA in the second half of XIX century are considered in the article and the causes of economical rise in the 50–60-ies and crisis occurrences in economics in 70–80-ies are shown.

The features and main stages of credit and financial policy of Austria in XIX – at the beginning of XX centuries and conditions of its transition to the gold standard are considered in the article

The author makes an attempt to give a historically correct account of leisure activities of German immigrants in Chicago at the turn of the twentieth century. Based on the original primary sources such as guides to Chicago, the press, memoirs by the contemporaries, the article depicts the forms of cultural life of Chicago’s German-American community. The attention is focused on the history of gymnastic clubs (or turnverein ), musical choirs and other forms of leisure activities in Chicago’s German neighborhoods. The impact of German cultural heritage on the cultural life of Chicago, particularly, on classical music, is analyzed. The author describes challenges of adaptation of some German leisure activities in the adopted country.

In this article the realization of the general tendencies in development of the USSR in the 1960th – the 1980th years on the example of the North Caucasus is considered and regional, national and local specifics of North Caucasian history of this period comes to light.

The article considers the resettlement of Slovene, Croatian and Serbs teachers from Austria-Hungary of the 1860’s-1880’s. The article researches the main directions of their activity and the contribution to development of the Russian education.

The bases of the development of the state of «general prosperity» after the Word War II and the causes of its crisis in the 70–80-ies and the evolution of family and social structure are shown in the article.

The article describes the facts of the biography of a major Polish historian and organizer of science, academician Alexander Gieysztor (1916–1999) who actively collaborated with the Russian colleagues enables. Touched upon a number of key aspects of Russian-Polish interaction, such as hierarchy and dynamics of ethno-cultural identities, choice of strategies of behavior, Russophilia and Russophobia, migrations, cross-cultural dialogue, mechanisms of historical memory. The article is based on Polish and Russian materials including those, which are studied for the first time.

The significant need of teachers of the North Caucasus working with various classes of children, for the modern methodical support which is constructed on principles of the new program of education modernization is shown. Also necessity of pinch of professional competence for a range of application of interactive technologies, technologies of development of critical thinking for educational process is demonstrated.

This paper presents a brief analysis of the synergy humanitarian search technology education from the standpoint of the requirements of the problems of formation and development of modern Education science. Introduced innovative pedagogical interpretation opens integrative and innovative look at the implementation of humanitarian technologies in the construction of an integrated system of modern education.

The article says about the place and value of creative pedagogy in the system of human Sciences and educational practice; as well as the pedagogical conditions of realization of the creative orientation of education of the individual in a continuous educational process

Investigated the importance of innovative marketing tools to increase the efficiency of the territory of strategic marketing areas and the necessity of their application, the main directions of branding area on the example of the Stavropol Territory and The Republic Of Belarus

In the article we consider defining trends of innovative development of the national economy due to the change of technology cycles.