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“A research journal serves that narrow

borderland which separates the known from the unknown”

-P.C.Mahalanobis


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Mathematical modeling in biology: a research methods approach/ Shandelle M. Henson and James L. Hayward

By: Contributor(s): Series: Chapman & Hall/CRC Mathematical Biology SeriesPublication details: Abingdon: CRC Press, 2023Description: xxii, 315pages; charts, diagrams; 23cmISBN:
  • 9781032206943
Subject(s): DDC classification:
  • 570.15118 H526
Contents:
I. Introduction to Modeling -- Mathematical Modeling -- Avian Bone Growth: A Case Study -- II. Discrete-Time Models -- Discrete-Time Maps -- Chaos: Simple Rules Can Generate Complex Results -- Higher Dimensional Discrete-time Models -- Flour Beetle Dynamics: A Case Study -- III. Continuous-time Models -- Introduction to Differential Equations -- Scalar Differential Equations -- Systems of Differential Equations -- Seabird Behavior: A Case Study -- IV. Regression Models -- Regression Models -- Climate Change and Seabird Cannibalism: A Case Study -- Appendix
Summary: Mathematical Modeling in Biology: A Research Methods Approach is a textbook written primarily for advanced mathematics and science undergraduate students and graduate-level biology students. Although the applications center on ecology, the expertise of the authors, the methodology can be imported to any other science, including social science and economics. The aim of the book, beyond being a useful aid to teaching and learning the core modeling skills needed for mathematical biology, is to encourage students to think deeply and clearly about the meaning of mathematics in science and to learn significant research methods. Most importantly, it is hoped that students will experience some of the excitement of doing research. Features: Minimal pre-requisites beyond a solid background in calculus, such as a calculus I course. Suitable for upper division mathematics and sciences students and graduate-level biology students. Provides sample MATLAB codes and instruction in Appendices along with datasets available on https://bit.ly/3fcLF3D
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Includes index

I. Introduction to Modeling -- Mathematical Modeling -- Avian Bone Growth: A Case Study -- II. Discrete-Time Models -- Discrete-Time Maps -- Chaos: Simple Rules Can Generate Complex Results -- Higher Dimensional Discrete-time Models -- Flour Beetle Dynamics: A Case Study -- III. Continuous-time Models -- Introduction to Differential Equations -- Scalar Differential Equations -- Systems of Differential Equations -- Seabird Behavior: A Case Study -- IV. Regression Models -- Regression Models -- Climate Change and Seabird Cannibalism: A Case Study -- Appendix

Mathematical Modeling in Biology: A Research Methods Approach is a textbook written primarily for advanced mathematics and science undergraduate students and graduate-level biology students. Although the applications center on ecology, the expertise of the authors, the methodology can be imported to any other science, including social science and economics. The aim of the book, beyond being a useful aid to teaching and learning the core modeling skills needed for mathematical biology, is to encourage students to think deeply and clearly about the meaning of mathematics in science and to learn significant research methods. Most importantly, it is hoped that students will experience some of the excitement of doing research.
Features:
Minimal pre-requisites beyond a solid background in calculus, such as a calculus I course.
Suitable for upper division mathematics and sciences students and graduate-level biology students.
Provides sample MATLAB codes and instruction in Appendices along with datasets available on https://bit.ly/3fcLF3D

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