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Mathematical Modeling - Models, Analysis and Applications (Hardcover, 2nd edition)
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Mathematical Modeling - Models, Analysis and Applications (Hardcover, 2nd edition)
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Mathematical Modeling: Models, Analysis and Applications, Second
Edition introduces models of both discrete and continuous systems.
This book is aimed at newcomers who desires to learn mathematical
modeling, especially students taking a first course in the subject.
Beginning with the step-by-step guidance of model formulation, this
book equips the reader about modeling with difference equations
(discrete models), ODE's, PDE's, delay and stochastic differential
equations (continuous models). This book provides interdisciplinary
and integrative overview of mathematical modeling, making it a
complete textbook for a wide audience. A unique feature of the book
is the breadth of coverage of different examples on mathematical
modelling, which include population models, economic models, arms
race models, combat models, learning model, alcohol dynamics model,
carbon dating, drug distribution models, mechanical oscillation
models, epidemic models, tumor models, traffic flow models, crime
flow models, spatial models, football team performance model,
breathing model, two neuron system model, zombie model and model on
love affairs. Common themes such as equilibrium points, stability,
phase plane analysis, bifurcations, limit cycles, period doubling
and chaos run through several chapters and their interpretations in
the context of the model have been highlighted. In chapter 3, a
section on estimation of system parameters with real life data for
model validation has also been discussed. Features Covers discrete,
continuous, spatial, delayed and stochastic models. Over 250
illustrations, 300 examples and exercises with complete solutions.
Incorporates MATHEMATICA (R) and MATLAB (R), each chapter contains
Mathematica and Matlab codes used to display numerical results
(available at CRC website). Separate sections for Projects. Several
exercise problems can also be used for projects. Presents real life
examples of discrete and continuous scenarios. The book is ideal
for an introductory course for undergraduate and graduate students,
engineers, applied mathematicians and researchers working in
various areas of natural and applied sciences.
General
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