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Mathematical Modeling in Economics, Ecology and the Environment

  • Natali Hritonenko
  • Yuri Yatsenko

Part of the Springer Optimization and Its Applications book series (SOIA, volume 88)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Natali Hritonenko, Yuri Yatsenko
    Pages 1-22
  3. Mathematical Models in Economics

    1. Front Matter
      Pages 23-23
    2. Natali Hritonenko, Yuri Yatsenko
      Pages 25-51
    3. Natali Hritonenko, Yuri Yatsenko
      Pages 53-78
    4. Natali Hritonenko, Yuri Yatsenko
      Pages 79-103
    5. Natali Hritonenko, Yuri Yatsenko
      Pages 105-130
  4. Models in Ecology and Environment

    1. Front Matter
      Pages 131-131
    2. Natali Hritonenko, Yuri Yatsenko
      Pages 133-156
    3. Natali Hritonenko, Yuri Yatsenko
      Pages 157-177
    4. Natali Hritonenko, Yuri Yatsenko
      Pages 179-196
    5. Natali Hritonenko, Yuri Yatsenko
      Pages 197-217
  5. Models of Economic-Environmental Systems

    1. Front Matter
      Pages 219-219
    2. Natali Hritonenko, Yuri Yatsenko
      Pages 221-240
    3. Natali Hritonenko, Yuri Yatsenko
      Pages 241-261
    4. Natali Hritonenko, Yuri Yatsenko
      Pages 263-283
  6. Back Matter
    Pages 285-296

About this book

Introduction

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.

Keywords

applied mathematical modeling applied optimization models economics modeling textbook environmental models mathematical modeling economics mathematical modeling textbook modeling biological systems modeling environmental systems

Authors and affiliations

  • Natali Hritonenko
    • 1
  • Yuri Yatsenko
    • 2
  1. 1.Department of MathematicsPrairie View A&M UniversityHoustonUSA
  2. 2.School of BusinessHouston Baptist UniversityHoustonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-9311-2
  • Copyright Information Springer Science+Business Media New York 2013
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-9310-5
  • Online ISBN 978-1-4614-9311-2
  • Series Print ISSN 1931-6828
  • Series Online ISSN 1931-6836
  • Buy this book on publisher's site