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|a 9780429533242
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|a 9780429143380
|q (electronic bk.)
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|a 0429143389
|q (electronic bk.)
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|a 9780429547942
|q (electronic bk. : Mobipocket)
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|q (electronic bk. : Mobipocket)
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|a 1584887923
|q (electronic bk. : PDF)
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| 024 |
7 |
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|a 10.1201/9780429143380
|2 doi
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| 035 |
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|a (OCoLC)1230566712
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| 037 |
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|a 9780429533242
|b Ingram Content Group
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|a 9780429143380
|b Taylor & Francis
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|a MAT
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|a TXAM
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1 |
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|a Gilbert, Robert P.,
|d 1932-
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PBJy4cDgt9f6cjjCKTrGPwC
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| 245 |
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|a Applications of homogenization theory to the study of mineralized tissue /
|c Robert P. Gilbert, Ana Vasilic, Sandra Klinge, Alex Panchenko, Klaus Hackl.
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|a 1st.
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| 264 |
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1 |
|a Boca Raton :
|b Chapman & Hall/CRC,
|c 2019.
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| 300 |
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|a 1 online resource :
|b illustrations (black and white).
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| 336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a Chapman & Hall/CRC Monographs and Research Notes in Mathematics
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| 505 |
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|a Introductory remarks -- The homogenization technique applied to soft tissue -- Acoustics in porous media -- Wet ionic, piezo-electric bone -- Visco-elasticity and contact friction between the phases -- Acoustics in a random microstructure -- Non-Newtonian interstitial fluid -- Multiscale FEM for the modeling of cancellous bone -- G-convergence and homogenization of viscoelastic flows -- Biot type models for bone mechanics -- Creation of RVE for bone microstructure -- Bone growth and adaptive elasticity.
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|a Description based on CIP data; resource not viewed.
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|a Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures. Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization. At the same time, the book explains how to apply the theory to various application problems in biology, physics and engineering. The authors are experts in the field and collaborated to create this book which is a useful research monograph for applied mathematicians, engineers and geophysicists. As for students and instructors, this book is a well-rounded and comprehensive text on the topic of homogenization for graduate level courses or special mathematics classes. Features: Covers applications in both geophysics and biology. Includes recent results not found in classical books on the topic Focuses on evolutionary kinds of problems; there is little overlap with books dealing with variational methods and T-convergence Includes new results where the G-limits have different structures from the initial operators
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|a Robert P. Gilbert is a Unidel Professor of Mathematics at the University of Delaware and has authored numerous papers and articles for journals and conferences. He is also a founding editor of Complex Variables and Applicable Analysis and serves on many editorial boards. His current research involves the area of inverse problems, homogenization and the flow of viscous fluids. Ana Vasilic is an associate professor of mathematics at Northern New Mexico College. She has contributed to mathematical publications such as Mathematical and Computer Modeling and Applicable Analysis. Her research interests include applied analysis, partial differential equations, homogenization and multiscale problems in porous media. Sandra Klinge is an assistant professor in computational mechanics at Technische Universitat, Dortmund, Germany. She has written several articles for science journals and contributed to many books. Homogenization, modeling of polymers and multiscale modeling are among her research interests. Alex Panchenko is a professor of mathematics at Washington State University and has written for several publications, many of which are collaborations with Robert Gilbert. These include journals such as SIAM Journal Math. Analysis and Mathematical and Computer Modeling. Klaus Hackl is a professor of mechanics at Ruhr-Universitat Bochum, Germany and has made many scholarly contributions to various journals. His research interests include continuum mechanics, numerical mechanics, modeling of materials and multiscale problems.
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| 650 |
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|a Homogenization (Differential equations)
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| 650 |
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|a Biology
|x Mathematical models.
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|a Physical sciences
|x Mathematical models.
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|a Homogénéisation (Équations différentielles)
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|a Biologie
|x Modèles mathématiques.
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| 650 |
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|a Sciences physiques
|x Modèles mathématiques.
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| 650 |
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7 |
|a MATHEMATICS / Differential Equations
|2 bisacsh
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| 650 |
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7 |
|a MATHEMATICS / Applied
|2 bisacsh
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| 650 |
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7 |
|a Biology
|x Mathematical models
|2 fast
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| 650 |
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7 |
|a Homogenization (Differential equations)
|2 fast
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| 655 |
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7 |
|a Electronic books.
|2 local
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| 700 |
1 |
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|a Vasilic, Ana,
|e author.
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| 700 |
1 |
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|a Klinge, Sandra,
|e author.
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| 700 |
1 |
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|a Panchenko, Alex
|q (Alexander),
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjtKdvvh9MTCYJBRcwdrYP
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| 700 |
1 |
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|a Hackl, K.
|q (Klaus),
|e author.
|1 https://id.oclc.org/worldcat/entity/E39PCjHG8FP8xHCFcXDBb6yYpq
|
| 710 |
2 |
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|a Taylor & Francis
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| 758 |
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|i has work:
|a Applications of homogenization theory to the study of mineralized tissue (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGckfD6YXc3xCBcbPHtfWP
|4 https://id.oclc.org/worldcat/ontology/hasWork
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|z Connect to the full text of this electronic book
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|a Texas A&M University
|b College Station
|c Electronic Resources
|d Available Online
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|e RC931.O73
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| 998 |
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