Getting Acquainted with Homogenization and Multiscale

The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical tw...

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Hlavní autor: Berlyand, Leonid (Autor)
Médium: Elektronický zdroj E-kniha
Jazyk:angličtina
Vydáno: Cham : Springer International Publishing, 2018.
Vydání:1st ed. 2018.
Edice:Compact Textbooks in Mathematics,
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ISBN:9783030017774
ISSN:2296-4568
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Popis
Shrnutí:The objective of this book is to navigate beginning graduate students in mathematics and engineering through a mature field of multiscale problems in homogenization theory and to provide an idea of its broad scope. An overview of a wide spectrum of homogenization techniques ranging from classical two-scale asymptotic expansions to Gamma convergence and the rapidly developing field of stochastic homogenization is presented. The mathematical proofs and definitions are supplemented with intuitive explanations and figures to make them easier to follow. A blend of mathematics and examples from materials science and engineering is designed to teach a mixed audience of mathematical and non-mathematical students.
Popis jednotky:Mathematics and Statistics
Fyzický popis:XVIII, 178 p. 42 illus., 14 illus. in color. online resource.
ISBN:9783030017774
ISSN:2296-4568