Applied Partial Differential Equations A Visual Approach A Visual Approach~tqw~ darksiderg

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  Applied Partial Differential Equations A Visual Approach A Visual Approach~tqw~ darksiderg
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• Added:
  10/01/2008
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  *******************************************************************************<br /> Applied Partial Differential Equations: A Visual Approach: A Visual Approach<br /> *******************************************************************************<br /> <br /> -------------------------------------------------------------------------------<br /> General Information<br /> -------------------------------------------------------------------------------<br /> Type.................: Ebook<br /> Part Size............: 16,912,303 bytes<br /> <br /> <br /> <br /> <br /> -------------------------------------------------------------------------------<br /> Post Information<br /> -------------------------------------------------------------------------------<br /> Posted by............: ~tqw~<br /> <br /> -------------------------------------------------------------------------------<br /> Release Notes<br /> -------------------------------------------------------------------------------<br /> This book presents selected topics in science and engineering from an <br /> applied-mathematics point of view. The described natural, socio-economic, and <br /> engineering phenomena are modeled by partial differential equations that relate <br /> state variables such as mass, velocity and energy to their spatial and temporal <br /> variations. Typically, these equations are highly nonlinear; in many cases they <br /> are systems, and they represent challenges even for the most modern and <br /> sophisticated mathematical and numerical-analytic techniques.<br /> <br /> The selected topics reflect the longtime scientific interests of the author. <br /> They include flows of fluids and gases, granular-material flows, biological <br /> processes such as pattern formation on animal skins, kinetics of rarified gases, <br /> free boundaries, semiconductor devices, and socio-economic processes. Each topic <br /> is briefly introduced in its scientific or engineering context, followed by a <br /> presentation of the mathematical models in the form of partial differential <br /> equations with a discussion of their basic mathematical properties. The author <br /> illustrates each chapter by a series of his own high-quality photographs, which <br /> demonstrate that partial differential equations are powerful tools for modeling <br /> a large variety of phenomena influencing our daily lives. <br /> <br /> Table of Contents<br /> Foreword V<br /> Introduction 1<br /> Kinetic Equations: From Newton to Boltzmann 5<br /> The Navier-Stokes and Euler Equations - Fluid and Gas Dynamics 21<br /> Granular Material Flows (with G. Toscani) 37<br /> Chemotactic Cell Motion and Biological Pattern Formation (with D. Olz) 55<br /> Semiconductor Modeling 73<br /> Free Boundary Problems and Phase Transitions 87<br /> Reaction-Diffusion Equations - Homogeneous and Heterogeneous Environments <br /> 109<br /> Optimal Transportation and Monge-Ampere Equations 129<br /> Wave Equations 149<br /> Digital Image Processing and Analysis - PDEs and Variational Tools 167<br /> Socio-Economic Modeling (with G. Toscani) 185 <br /> <br /> Product Details<br /> <br /> * ISBN: 3540346457<br /> * ISBN-13: 9783540346456<br /> * Format: Hardcover, 206pp<br /> * Publisher: Springer-Verlag New York, LLC<br /> * Pub. Date: September 2006<br /> <br /> -------------------------------------------------------------------------------<br /> Install Notes<br /> -------------------------------------------------------------------------------<br /> PDF Reader
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