Mathematical modeling

Meerschaert's new edition strengthens his position as the survey text of choice for mathematical modeling courses, adding ample instructor support and leveraging on-line delivery for solutions manuals and software ancillaries. From genetic engineering to hurricane prediction, mathematical model...

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Bibliographic Details
Main Author: Meerschaert, Mark M.
Format: eBook
Language:English
Published: Waltham, MA Academic Press/Elsevier 2013, 2013
Edition:Fourth edition
Subjects:
Online Access:
Collection: Elsevier ScienceDirect eBooks - Collection details see MPG.ReNa
Table of Contents:
  • I.OPTIMIZATION MODELS
  • 1.One Variable Optimization
  • 1.1.The five-step Method
  • 1.2.Sensitivity Analysis
  • 1.3.Sensitivity and Robustness
  • 1.4.Exercises
  • 2.Multivariable Optimization
  • 2.1.Unconstrained Optimization
  • 2.2.Lagrange Multipliers
  • 2.3.Sensitivity Analysis and Shadow Prices
  • 2.4.Exercises
  • 3.Computational Methods For Optimization
  • 3.1.One Variable Optimization
  • 3.2.Multivariable Optimization
  • 3.3.Linear Programming
  • 3.4.Discrete Optimization
  • 3.5.Exercises
  • II.DYNAMIC MODELS
  • 4.Introduction To Dynamic Models
  • 4.1.Steady State Analysis
  • 4.2.Dynamical Systems
  • 4.3.Discrete Time Dynamical Systems
  • 4.4.Exercises
  • 5.Analysis Of Dynamic Models
  • 5.1.Eigenvalue Methods
  • 5.2.Eigenvalue Methods for Discrete Systems
  • 5.3.Phase Portraits
  • 5.4.Exercises
  • 6.Simulation Of Dynamic Models
  • 6.1.Introduction to Simulation
  • 6.2.Continuous-Time Models
  • 6.3.The Euler Method
  • 6.4.Chaos and Fractals
  • 6
  • Includes bibliographical references and index