Abstract

Many people think that Sustainable Development and Mathematics are completely unrelated. The mathematical models, methods and challenges are enormous in the sustainable management practices or issues which are hugely complex, requiring more subtle scientific and mathematical and statistical tools. The mathematical and numerical models and soft system methodology rely on dynamical systems in control theory as well as practice at reconciling economic and ecological dimensions through a common modelling framework to cope with environmental management problems from a perspective of sustainability. To combine both public and social choice traditions with multi-criteria decision analysis in order to deal with sustainability paradoxes in a complex world with multiple dimensions, values and scales can be through mathematical methods .The applications of mathematical models are necessary to evaluate sustainability in quantitative terms, a large number of indicators, processes, and their interrelations must be taken into account and both present and future values of various indicators must be generated. Traditionally, sustainability is assessed based on a single aspect and using isolated indicators through the applications of mathematical philosophy.

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