An Introduction to Homogenization by Doina Cioranescu (PDF)

Description

This book provides an introduction to the mathematical theory of homogenization, which describes the replacement of a real composite material by a fictitious homogeneous one. The aim of the theory is to describe the macroscopic properties of the composite by taking into account the properties of the microscopic structure. The first four chapters cover variational methods for partial differential equations, which is the natural framework of homogenization theory. The text then discusses the homogenization of several kinds of second order boundary value problems. Particular attention is given to the classical examples of the steady and non-steady heat equations, the wave equation and the linearized system of elasticity. All topics are illustrated by figures and numerous examples.

User’s Reviews

Product description Review ‘serve as good textbook for a post-graduate course’ ZAMM About the Author Doina Cioranescu (Professor, University of Paris VI and CNRS, France) Patrizia Donato (Professor, University of Rouen, France)

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐und auch für interessierte Neulinge wegen der guten Erläuterungen geeignet. Es wird ein gutes Verständnis der Analysis und etwas Funktionalanalysis vorausgesetzt, aber ansonsten werden alle Ideen und Techniken sauber entwickelt. Aus Interesse an dem Thema hatte ich mir

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⭐The General Theory of Homogenization: A Personalized Introduction (Lecture Notes Of The Unione Matematica Italiana)

⭐zugelegt, aber der Meister Luc Tartar war denn doch über meinem Horizont. Die “Introduction to Homogenization” bringt den Leser jedoch in die Lage, auch weiterführende Literatur zu verstehen.

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⭐The authors are well known experts on homogenization theory. This is evident in the clear exposition of the book. Highly recommended

⭐the book is in very good condition, brand new, no sigh of used. but there are barcode and stamp on it, so it may be taken from a library. Hope it is not stolen from some library. and the content is hard to understand too. the price is expensive, even it is the lowest prince I can found.

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