Buch, Englisch, 206 Seiten, Previously published in hardcover, Format (B × H): 189 mm x 246 mm, Gewicht: 478 g
A Visual Approach
Buch, Englisch, 206 Seiten, Previously published in hardcover, Format (B × H): 189 mm x 246 mm, Gewicht: 478 g
ISBN: 978-3-662-51812-0
Verlag: Springer
This book presents topics of science and engineering which occur in nature or are part of daily life. It describes phenomena which are modelled by partial differential equations, relating to physical variables like mass, velocity and energy, etc. to their spatial and temporal variations. Typically, these equations are highly nonlinear; in many cases they are also vectorial systems, and they represent a challenge even for the most modern and sophisticated mathematical-analytical and mathematical-numerical techniques. The author has chosen topics representing his career-long interests, including the flow of fluids and gases, granular flows, biological processes like pattern formation on animal skins, kinetics of rarified gases and semiconductor devices. Each topic is presented in brief in its scientific or engineering context, followed by an introduction of applicable mathematical models in the form of partial differential equations with a discussion of their basic mathematical properties. Illustrated with photographs taken by the author.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Informatik Künstliche Intelligenz Computer Vision
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Mathematik | Informatik EDV | Informatik Informatik Bildsignalverarbeitung
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Geowissenschaften Geologie Geologie
Weitere Infos & Material
Kinetic Equations: From Newton to Boltzmann.- The Navier-Stokes and Euler Equations — Fluid and Gas Dynamics.- Granular Material Flows.- Chemotactic Cell Motion and Biological Pattern Formation.- Semiconductor Modeling.- Free Boundary Problems and Phase Transitions.- Reaction-Diffusion Equations — Homogeneous and Heterogeneous Environments.- Optimal Transportation and Monge-Ampère Equations.- Wave Equations.- Digital Image Processing and Analysis — PDEs and Variational Tools.- Socio-Economic Modeling.
