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Updated to textbook form by popular demand, this second edition discusses diverse mathematical models used in economics, ecology, and the environmental sciences with emphasis on control and optimization. It is intended for graduate and upper-undergraduate course use, however, applied mathematicians, industry practitioners, and a vast number of interdisciplinary academics will find the presentation highly useful. Core topics of this text are: · Economic growth and technological development · Population dynamics and human impact on the environment · Resource extraction and scarcity · Air and water contamination · Rational management of the economy and environment · Climate change and global dynamics The step-by-step approach taken is problem-based and easy to follow. The authors aptly demonstrate that the same models may be used to describe different economic and environmental processes and that similar investigation techniques are applicable to analyze various models. Instructors will appreciate the substantial flexibility that this text allows while designing their own syllabus. Chapters are essentially self-contained and may be covered in full, in part, and in any order. Appropriate one- and two-semester courses include, but are not limited to, Applied Mathematical Modeling, Mathematical Methods in Economics and Environment, Models of Biological Systems, Applied Optimization Models, and Environmental Models. Prerequisites for the courses are Calculus and, preferably, Differential Equations.
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Previews available in: English
Subjects
Mathematics, Mathematical optimization, Ecology, Economics, Systems theory, Mathematical models, Economics, mathematical models, Environmental sciences, Applied, Management science, Environmental science, Mathematics & statistics -> mathematics -> mathematics general, Business & economics -> decision sciences -> management science, Biological sciences & nutrition -> environmental science & ecology -> environmental science, Scm14068, Sc500000, Scu24005, Suco11649, 3420, 3120, 3258, System theory, Mathematical Modeling and Industrial Mathematics, Calculus of Variations and Optimal Control; Optimization, Control Systems Theory, Economics/Management Science, general, Math. Appl. in Environmental ScienceEdition | Availability |
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Mathematical Modeling in Economics, Ecology and the Environment
Aug 23, 2016, Springer
paperback
1489977201 9781489977205
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Mathematical Modeling in Economics, Ecology and the Environment
Jan 09, 2014, Springer
hardcover
1461493102 9781461493105
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3
Mathematical Modeling in Economics, Ecology and the Environment
2014, Springer London, Limited
in English
1461493110 9781461493112
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Mathematical Modeling in Economics, Ecology and the Environment
1999, Springer US
electronic resource /
in English
144194821X 9781441948212
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Book Details
Edition Notes
Source title: Mathematical Modeling in Economics, Ecology and the Environment (Springer Optimization and Its Applications)
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Work Description
The book covers a wide range of known models, from classical (Cobb-Douglass production function, Leontief input-output analysis, Verhulst-Pearl and Lotka-Volterra models of population dynamics, etc.) to the models of world dynamics and the models of water contamination propagation after the Chernobyl nuclear catastrophe. It uses a unique block-by-block approach to model analysis, which explains how all these models are constructed from common simple components (blocks) that describe elementary physical processes. The book provides theoretical insights to guide the design of practical models. Special attention is given to modeling of hierarchical regional economic-ecological interaction and technological change in the context of environmental impact. Mathematical topics considered include discrete and continuous models, differential and integral equations, optimization and bifurcation analysis, and related subjects. The book presents a self-contained introduction for those approaching the subject for the first time. It provides excellent material for graduate courses in mathematical modeling. Audience: Researchers, graduate and postgraduate students, and a wide mathematical audience.
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