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Lipschitz Functions
The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results. Among the included topics we mention: characterizations of Lipschitz functions and relations with other classes of functions, extension results for Lipschitz functions and Lipschitz partitions of unity, Lipschitz free Banach spaces and their applications, compactness properties of Lipschitz operators, Bishop-Phelps type results for Lipschitz functionals, applications to best approximation in metric and in metric linear spaces, Kantorovich-Rubinstein norm and applications to duality in the optimal transport problem, Lipschitz mappings on geodesic spaces. The prerequisites are basic results in real analysis, functional analysis, measure theory (including vector measures) and topology, which, for reader's convenience, are surveyed in the first chapter of the book.
Advanced Composite Biomaterials
Biomaterials is currently one of the most important fields of study. This is because of the high degree of interdisciplinarity and the many practical solutions it provides in relation to medicine, biology, chemistry, and physics. This Special Issue provides readers with research from the domain of composite biomaterials in different applications, from controlled drug release systems to tissue engineering.
Mathematical reports
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Mathematical Reviews
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Sustainable Polylactide-Based Composites
Sustainable Polylactide-Based Composites integrates fundamental knowledge pertaining to manufacturing and characterization of polymer composites with a thorough and critical overview of the state-of-the-art in PLA-based composites, including significant past and recent advances. The book begins with insights into the basics of polymer composites, with special reference to sustainable composites, as well as fundamental knowledge related to PLA. This is followed by chapters on manufacturing methods, morphological characterization techniques, and the mechanical models used for polymer composites. A comprehensive overview of the state-of-the-art in PLA-based sustainable composites of all extensi...
An Invitation to Fractal Geometry
This book offers a comprehensive exploration of fractal dimensions, self-similarity, and fractal curves. Aimed at undergraduate and graduate students, postdocs, mathematicians, and scientists across disciplines, this text requires minimal prerequisites beyond a solid foundation in undergraduate mathematics. While fractal geometry may seem esoteric, this book demystifies it by providing a thorough introduction to its mathematical underpinnings and applications. Complete proofs are provided for most of the key results, and exercises of different levels of difficulty are proposed throughout the book. Key topics covered include the Hausdorff metric, Hausdorff measure, and fractal dimensions such...
Advances in Manufacturing and Characterization of Functional Polyesters
In recent years, we have assisted the remarkable growth in the use of functional polyesters. This book gathers novel research works dealing with the manufacturing and characterization of polyesters that have been functionalized by synthesis, copolymerization, additives (at micro- and nanoscale), surface modification, among other methodologies, to tailor desired properties in terms of mechanical, chemical, thermal, and barrier properties, biodegradation, and biocompatibility. Thus, Advances in Manufacturing and Characterization of Functional Polyesters will serve to guide a diverse audience of polymer scientists and engineers and provides an update of the “state-of-the-art” knowledge on functional polyesters.
