Location 
Call number 
Availability 
City Campus 
511.8 WOLL

Available

 Description
 xxi, 607 pages : illustrations (some colour), graphs ; 24 cm
 Additional Authors
 Dichone, Bonni J.,
 Notes
 Contents: 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 SemiInfinite 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  RayleighBernard Natural Convection Problem  Heat Conduction in a Finite Bar with a Nonlinear Source  Nonlinear Optical RingCavity 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.Includes bibliographical references and index.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 selfcontained 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 selfcontained courses taught by the authors, this text will be of use in a twosemester 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. .