Introduction: Principles and Tools of Mathematical Modeling

Natali Hritonenko and Yuri Yatsenko
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Natali Hritonenko: Prairie View A&M University

Chapter Chapter 1 in Mathematical Modeling in Economics, Ecology and the Environment, 2013, pp 1-22 from Springer

Abstract: Abstract This chapter provides a brief overview of the goals, general principles, and specific tools of mathematical modeling, specifically for economic and environmental systems. Section 1.1 analyzes the role and structure of the modeling process in scientific research and decision-making practice. Section 1.2 explores and compares different types of mathematical models (deterministic and stochastic, continuous and discrete, linear and nonlinear). Section 1.3 outlines selected concepts and results of calculus and the theory of differential and integral equations used in this textbook.

Keywords: Integral Equation; Discrete Model; Volterra Integral Equation; Linear Integral Equation; Resolvent Kernel (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-9311-2_1

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DOI: 10.1007/978-1-4614-9311-2_1

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