Mathematical Modeling for System Analysis in Agricultural Research

By: K. Vohnout

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Hardcover | 27 March 2003

At a Glance

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452 Pages

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23.39 x 15.6 x 2.54

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Contents. Preface. Acknowledgements. 1. The scope of system anal ysis. The mathematical concept of a system. Classification of a gricultural systems. Using linear models in agricultural research. <STRO NG>2. Characteristic values. Systems of linear equations. Solvi ng linear systems. Characteristic equation, roots and vectors. 3 . The calculus foundation of modeling. Series. Finite differenc es. Differentials. Difference equations. Differential equations. 4. Selected transform procedures. Partial fraction expansions. Complex numbers. The laplace transform. The Z Transform. 5. Cur ve fitting and evaluation. Theoretical basis of nonlinear curve fitting. Computation of the model parameters. Evaluation of the mathema tical model and system behavior. 6. Framework for modeling agric ultural systems. The system variables. System dynamics. Respons e functions. Transfer functions. Structural properties of systems. <STRO NG>7. Stochastic models of systems. Modeling of stochastic agri cultural systems. The powers of a probability matrix. Markov processes i 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.

Industry Reviews

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

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You Can Find This Book In

Non-Fiction Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory Engineering & Technology Agriculture & Farming Agricultural Science Technology in General Maths for Engineers Mathematics Applied Mathematics

Mathematical Modelling Research Methods Mechanical Engineering & Materials Materials Science

Contents
Preface
Acknowledgements
The scope of system analysis.lt;/b> The mathematical concept of a system. Classification of agricultural systems. Using linear models in agricultural research
Characteristic values.lt;/b>Systems of linear equations. Solving linear systems. Characteristic equation, roots and vectors
The calculus foundation of modeling.lt;/b> Series. Finite differences. Differentials. Difference equations. Differential equations
Selected transform procedures.lt;/b> Partial fraction expansions. Complex numbers. The laplace transform. The Z Transform
Curve fitting and evaluation.lt;/b> Theoretical basis of nonlinear curve fitting. Computation of the model parameters. Evaluation of the mathematical model and system behavior
Framework for modeling agricultural systems.lt;/b> The system variables. System dynamics. Response functions. Transfer functions. Structural properties of systems
Stochastic models of systems.lt;/b> Modeling of stochastic agricultural systems. The powers of a probability matrix. Markov processes in agricultural research. Relationship between stochastic and deterministic models
Deterministic models of discrete systems.lt;/b> Relationship between order and dimension. Single input linear models. Multidimensional first order linear models. Fitting models to data of discrete systems
Deterministic models of continuous systems.lt;/b> Relationship between order and dimension. Single input linear models. Multidimensional non compartmental first order linear models. Compartmental first order linear models. Fitting models to data of continuous systems

Miscellaneous matrix concepts and procedures
Basal concepts and procedures in calculus
Probability definitions and formulas
Rules of counting
Probability distributions
Most frequently used statistical formulas
Table of laplace transforms
Table of Z transforms
The delta function
References
Subject
Index
Table of Contents provided by Publisher. All Rights Reserved.

Mathematical Modeling for System Analysis in Agricultural Research

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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