Synopses & Reviews
A unique resource that applies statistical and modeling techniques to the design and analysis of agricultural systems DESCRIPTION: Since most applied mathematics texts have not been designed with the agricultural sciences in mind, statistics, a fundamental tool of sound scientific research, has been of limited use to agricultural scientists. Now, Mathematical Modeling for System Analysis in Agricultural Research has been written specifically for agricultural professionals and students to show them the methods that will improve the accuracy of their experiments and research. The book is a complete manual of procedures for the mathematical modeling of agricultural systems and for the design and analyses of experimental data and tests. This text is a complete resource on matching mathematical models to working hypotheses, selecting the most appropriate mathematical model, and matching experimental treatments and designs to models. TABLE OF CONTENTS: 1. The Scope of System Analysis; 2. Characteristic Values; 3. The Calculus Foundation of Modeling; 4. Selected Transform Procedures; 5. Curve Fitting and Evaluation; 6. Framework for Modeling Agricultural Systems; 7. Stochastic Models of Systems; 8. Deterministic Models of Discrete Systems; 9. Deterministic Models of Continuous Systems; 10. Experimental Tests for a System Analysis Problem
Review
ical background and interest in developing models.
Journal of Agricultural Science
Review
J. Gibbons
...the book is a useful primer and introduction for readers with a sufficient mathematical background and interest in developing models.
Journal of Agricultural Science
Review
"This book brings the reader at a level so that he can adequately handle some problems. The mathematical models are differential or difference equations that are analyzed by respectively the Laplace transform and the Z-transform."
-John Grasman, Wageningen University and Research Center of MATHEMATICAL BIOSCIENCES, 2005
"...the book is a useful primer and introduction for readers with a sufficient mathematical background and interest in developing models."
-J. Gibbons of JOURNAL OF AGRICULTURAL SCIENCE
Synopsis
This book provides a clear picture of the use of applied mathematics as a tool for improving the accuracy of agricultural research. For decades, statistics has been regarded as the fundamental tool of the scientific method. With new breakthroughs in computers and computer software, it has become feasible and necessary to improve the traditional approach in agricultural research by including additional mathematical modeling procedures.
The difficulty with the use of mathematics for agricultural scientists is that most courses in applied mathematics have been designed for engineering students. This publication is written by a professional in animal science targeting professionals in the biological, namely agricultural and animal scientists and graduate students in agricultural and animal sciences. The only prerequisite for the reader to understand the topics of this book is an introduction to college algebra, calculus and statistics. This is a manual of procedures for the mathematical modeling of agricultural systems and for the design and analyses of experimental data and experimental tests. It is a step-by-step guide for mathematical modeling of agricultural systems, starting with the statement of the research problem and up to implementing the project and running system experiments.