This book presents the language of random field theory and the principles of stochastic geometry in order to give the systematic and concise knowledge necessary for modeling real random heterogeneous media. This book is ideal for a general scientific audience needing an in-depth guide to current ideas, methods and models for the stochastic modeling of microstructures. It is an essential reference for practitioners, researchers and professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics.
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"It is the objective of this book to provide the basic principles and results of the theory of random fields (both continuous and discrete) with special emphasis on methods that are important for the modeling of real random material microstructures.... The book may be viewed as a comprehensive introduction to the field of stochastic modeling of material microstructures and will be useful for researchers and professionals in material modeling, engineering and in applied mathematics in general." ―Applications of Mathematics
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Taschenbuch. Condition: Neu. Neuware -This book is for a general scientific and engineering audience as a guide to current ideas, methods, and models for stochastic modeling of microstructures. It is a reference for professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics. 284 pp. Englisch. Seller Inventory # 9781461266228
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - A major challenge in applied mathematics and mechanics of materials is to describe various types of material microstructures. The details of the microstructure of most natural and engineered materials are usually obscure; uncertainty and randomness are the inherent features. This complexity due to material heterogeneity has not been A major challenge in applied mathematics and mechanics of materials is to describe various types of material microstructures. The details of the microstructure of most natural and engineered materials are usually obscure; uncertainty and randomness are the inherent features. This complexity due to material heterogeneity has not been adequately described by current classical models and theories. Stochastic Modeling of Microstructures presents a concise and unified presentation of the basic principles and tools for the modeling of real materials, natural and man-made, that possess complex, random heterogeneity. The book uses the language and methods of random field theory combined with the basic constructs of stochastic geometry and geometrical/spatial statistics in order to give the reader the knowledge necessary to model various types of material microstructures. The application of the theoretical constructs reviewed in the first three chapters to the analysis of empirical data via the tools of statistical inference is also discussed. The final chapters address practical aspects of specific modeling problems. Features- ú First comprehensive introduction to the comparatively new field of stochastic modeling of material microstructures ú Presentation of basic tools required from the diverse subjects of random field theory, stochastic geometry and spatial statistics ú Provides background concepts from probability theory and stochastic processes are provided ú Applications from various fields are discussed, including stochastic wave propagation and the mechanics of. Seller Inventory # 9781461266228
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book is for a general scientific and engineering audience as a guide to current ideas, methods, and models for stochastic modeling of microstructures. It is a reference for professionals in material modeling, mechanical engineering, materials. Seller Inventory # 4189267
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Taschenbuch. Condition: Neu. Neuware -A major challenge in applied mathematics and mechanics of materials isto describe various types of material microstructures. The details ofthe microstructure of most natural and engineered materials areusually obscure; uncertainty and randomness are the inherent features.This complexity due to material heterogeneity has not been A majorchallenge in applied mathematics and mechanics of materials is todescribe various types of material microstructures. The details of themicrostructure of most natural and engineered materials are usuallyobscure; uncertainty and randomness are the inherent features. Thiscomplexity due to material heterogeneity has not been adequatelydescribed by current classical models and theories. StochasticModeling of Microstructures presents a concise and unifiedpresentation of the basic principles and tools for the modeling ofreal materials, natural and man-made, that possess complex, randomheterogeneity. The book uses the language and methods of random fieldtheory combined with the basic constructs of stochastic geometry andgeometrical/spatial statistics in order to give the reader theknowledge necessary to model various types of materialmicrostructures. The application of the theoretical constructsreviewed in the first three chapters to the analysis of empirical datavia the tools of statistical inference is also discussed. The finalchapters address practical aspects of specific modeling problems.Features- ú First comprehensive introduction to the comparatively newfield of stochastic modeling of material microstructures úPresentation of basic tools required from the diverse subjects ofrandom field theory, stochastic geometry and spatial statistics úProvides background concepts from probability theory and stochasticprocesses are provided ú Applications from various fields arediscussed, including stochastic wave propagation and the mechanics ofSpringer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 284 pp. Englisch. Seller Inventory # 9781461266228
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