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...
Main Authors: | , |
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Format: | eBook |
Language: | English |
Published: |
Cham
Birkhäuser
2018, 2018
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Edition: | 1st ed. 2018 |
Series: | Compact Textbooks in Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Summary: | 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 |
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Physical Description: | XVIII, 178 p. 42 illus., 14 illus. in color online resource |
ISBN: | 9783030017774 |