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ISBN: 9781118032114

Explore and analyze the solutions of mathematical models from diverse disciplinesAs biology increasingly depends on data, algorithms, and models, it has become necessary to use a computin… Plus…

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Explorations of Mathematical Models in Biology with Maple - edition reliée, livre de poche

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Explorations of Mathematical Models in Biology with Maple - edition reliée, livre de poche

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Explorations of Mathematical Models in Biology with Maple by Mazen Shahin Hardcover | Indigo Chapters

Explore and analyze the solutions of mathematical models from diverse disciplines

As biology increasingly depends on data, algorithms, and models, it has become necessary to use a computing language, such as the user-friendly MapleTM, to focus more on building and analyzing models as opposed to configuring tedious calculations. Explorations of Mathematical Models in Biology with Maple provides an introduction to model creation using Maple, followed by the translation, analysis, interpretation, and observation of the models.

With an integrated and interdisciplinary approach that embeds mathematical modeling into biological applications, the book illustrates numerous applications of mathematical techniques within biology, ecology, and environmental sciences. Featuring a quantitative, computational, and mathematical approach, the book includes:

Examples of real-world applications, such as population dynamics, genetics, drug administration, interacting species, and the spread of contagious diseases, to showcase the relevancy and wide applicability of abstract mathematical techniquesDiscussion of various mathematical concepts, such as Markov chains, matrix algebra, eigenvalues, eigenvectors, first-order linear difference equations, and nonlinear first-order difference equationsCoverage of difference equations to model a wide range of real-life discrete time situations in diverse areas as well as discussions on matrices to model linear problemsSolutions to selected exercises and additional Maple codes
Explorations of Mathematical Models in Biology with Maple
is an ideal textbook for undergraduate courses in mathematical models in biology, theoretical ecology, bioeconomics, forensic science, applied mathematics, and environmental science. The book is also an excellent reference for biologists, ecologists, mathematicians, biomathematicians, and environmental and resource economists.

Informations détaillées sur le livre - Explorations of Mathematical Models in Biology with Maple by Mazen Shahin Hardcover | Indigo Chapters


EAN (ISBN-13): 9781118032114
ISBN (ISBN-10): 111803211X
Version reliée
Date de parution: 2014
Editeur: Mazen Shahin

Livre dans la base de données depuis 2014-02-22T02:48:48+01:00 (Paris)
Page de détail modifiée en dernier sur 2022-11-08T03:34:14+01:00 (Paris)
ISBN/EAN: 9781118032114

ISBN - Autres types d'écriture:
1-118-03211-X, 978-1-118-03211-4
Autres types d'écriture et termes associés:
Auteur du livre: shah, maz, shahin
Titre du livre: biology about, mathematical models biology, maple


Données de l'éditeur

Auteur: Mazen Shahin
Titre: Explorations of Mathematical Models in Biology with Maple
Editeur: Wiley; John Wiley & Sons
304 Pages
Date de parution: 2014-12-23
Poids: 0,628 kg
Langue: Anglais
125,00 € (DE)
Not available (reason unspecified)
150mm x 250mm x 23mm

BB; Hardcover, Softcover / Mathematik; Angewandte Mathematik; Biologie; Biowissenschaften; Computational Biology; Life Sciences; Mathematical Modeling; Mathematics; Mathematik; Mathematik in der Biologie; Mathematische Modellierung; Methods & Statistics in Ecology; Modell (Math.); Ökologie / Methoden, Statistik; Ökologie / Methoden, Statistik; Mathematik in der Biologie; Mathematische Modellierung; Biologie, Biowissenschaften

Preface vii Acknowledgments xi 1 Overview of Discrete Dynamical Modeling and Maple(TM) 1 1.1 Introduction to Modeling and Difference Equations 1 1.2 The Modeling Process 8 1.3 Getting Started with Maple 12 2 Modeling with First-Order Difference Equations 37 2.1 Modeling with First-Order Linear Homogeneous Difference Equations with Constant Coefficients 37 2.2 Modeling with Nonhomogeneous First-Order Linear Difference Equations 53 2.3 Modeling with Nonlinear Difference Equations: Logistic Growth Models 72 2.4 Logistic Equations and Chaos 89 3 Modeling with Matrices 100 3.1 Systems of Linear Equations Having Unique Solutions 100 3.2 The Gauss-Jordan Elimination Method with Models 114 3.3 Introduction to Matrices 136 3.4 Determinants and Systems of Linear Equations 164 3.5 Eigenvalues and Eigenvectors 176 3.6 Eigenvalues and Stability of Linear Models 199 4 Modeling with Systems of Linear Difference Equations 209 4.1 Modeling with Markov Chains 209 4.2 Age-Structured Population Models 230 4.3 Modeling with Second-Order Linear Difference Equations 240 5 Modeling with Nonlinear Systems of Difference Equations 258 5.1 Modeling of Interacting Species 258 5.2 The SIR Model of Infectious Diseases 272 5.3 Modeling with Second-Order Nonlinear Difference Equations 280 Bibliography 286 Index 288

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