Overview
Shows that partial differential equations model many aspects of our natural surroundings
Beautiful photographs give a memorable and unique access to the different applications discussed in the book
Addresses a broad audience: from mathematically oriented science-engineering students to scientists-engineers with a mathematical background
Outstanding "coffee-table" book with non-trivial maths contents
Includes supplementary material: sn.pub/extras
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Table of contents (12 chapters)
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Front Matter
Keywords
About this book
This book presents selected topics in science and engineering from an applied-mathematics point of view. The described natural, socioeconomic, and engineering phenomena are modeled by partial differential equations that relate state variables such as mass, velocity, and energy to their spatial and temporal variations. Typically, these equations are highly nonlinear; in many cases they are systems, and they represent challenges even for the most modern and sophisticated mathematical and numerical-analytic techniques. The selected topics reflect the longtime scientific interests of the author. They include flows of fluids and gases, granular-material flows, biological processes such as pattern formation on animal skins, kinetics of rarified gases, free boundaries, semiconductor devices, and socioeconomic processes. Each topic is briefly introduced in its scientific or engineering context, followed by a presentation of the mathematical models in the form of partial differential equations with a discussion of their basic mathematical properties. The author illustrates each chapter by a series of his own high-quality photographs, which demonstrate that partial differential equations are powerful tools for modeling a large variety of phenomena influencing our daily lives.
Authors and Affiliations
About the author
Prof. Peter Markowich is the recipient of the Wittgenstein Award 2000, the highest ranking Austrian Science Prize.
Bibliographic Information
Book Title: Applied Partial Differential Equations:
Book Subtitle: A Visual Approach
Authors: Peter A. Markowich
DOI: https://doi.org/10.1007/978-3-540-34646-3
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2007
Hardcover ISBN: 978-3-540-34645-6Published: 14 December 2006
Softcover ISBN: 978-3-662-51812-0Published: 01 November 2016
eBook ISBN: 978-3-540-34646-3Published: 06 August 2007
Edition Number: 1
Number of Pages: X, 206
Number of Illustrations: 104 illustrations in colour
Topics: Analysis, Applications of Mathematics, Partial Differential Equations, Mathematical and Computational Engineering, Earth Sciences, general, Image Processing and Computer Vision