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Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences : Theoretical Predictions Compared with Data / by David J. Wollkind, Bonni J. Dichone.

Wollkind, David J. author.; Dichone, Bonni J. author.
2017
TA342-343
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Title
Comprehensive Applied Mathematical Modeling in the Natural and Engineering Sciences : Theoretical Predictions Compared with Data / by David J. Wollkind, Bonni J. Dichone.
Author
Wollkind, David J. author.
ISBN
9783319735184
3319735187
9783319735177
3319735179
DOI
https://doi.org/10.1007/978-3-319-73518-4
Published
Cham : Springer, 2017.
Language
English
Description
1 online resource (xxi, 607 pages)
Item Number
10.1007/978-3-319-73518-4 doi
Call Number
TA342-343
Dewey Decimal Classification
003.3
Summary
This text demonstrates the process of comprehensive applied mathematical modeling through the introduction of various case studies. The case studies are arranged in increasing order of complexity based on the mathematical methods required to analyze the models. The development of these methods is also included, providing a self-contained presentation. To reinforce and supplement the material introduced, original problem sets are offered involving case studies closely related to the ones presented. With this style, the text's perspective, scope, and completeness of the subject matter are considered unique. Having grown out of four self-contained courses taught by the authors, this text will be of use in a two-semester sequence for advanced undergraduate and beginning graduate students, requiring rudimentary knowledge of advanced calculus and differential equations, along with a basic understanding of some simple physical and biological scientific principles. .
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Access limited to authorized users.
Digital File Characteristics
text file PDF
Added Author
Dichone, Bonni J. author.
Available in Other Form
Print version: 9783319735177
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Introduction
Part I
Canonical Projectile Problem: Finding the Escape Velocity of the Earth
Of Mites and Models
Canonical Soap Film Problem
Heat Conduction in a Finite Bar with a Linear Source
Heat Conduction in a Semi-Infinite Bar
Initiation of Cellular Slime Mold Aggregation Viewed as an Instability
Chemical Turning Patterns and Diffusive Instabilities
Part II
Governing Equations of Fluid Mechanics
Boundary Conditions for Fluid Mechanics
Subsonic Sound Waves Viewed as a Linear Perturbation in an Inviscid Fluid
Potential Flow Past a Circular Cylinder of a Homogeneous Inviscid Fluid
Viscous Fluid Flows
Blasius Flow Past a Flat Plate
Part III
Rayleigh-Bernard Natural Convection Problem
Heat Conduction in a Finite Bar with a Nonlinear Source
Nonlinear Optical Ring-Cavity Model Driven by a Gas Laser
Vegetative Flat Dryland Rhombic Pattern Formation Driven by Root Suction
Part IV
Calculus Variations Revisited plus the Gamma and Bessel Functions
Alternate Methods of Solution for Heat and Wave Equation Problems
Finite Mathematical Models
Concluding Capstone Problems.

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