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Multivariate approximation theory is today an increasingly active research area. It encompasses a wide range of tools for multivariate approximation such as multi-dimensional splines and finite elements, shift-invariant spaces and radial-basis functions. Approximation theory in the multivariate setting has many applications including numerical analysis, wavelet analysis, signal processing, geographic information systems, computer aided geometric design and computer graphics. The field is fascinating since much of the mathematics of the classical univariate theory does not straightforwardly generalize to the multivariate setting, so new tools are required. This advanced introduction to multivariate approximation and related topics consists of nine articles written by leading experts surveying many of the new ideas and their applications. Each article introduces a particular topic, takes the reader to the forefront of research and ends with a comprehensive bibliography. This unique account is an ideal introduction to the subject for researchers, in universities and industry, and graduate students.
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"concise and thorough" Journal of the American Chemical Society "an invaluable resource" Canadian Forensic Science Society Journal "highly recommended" Textile Research JournalFrom the Back Cover:
Human hair is the subject of a remarkably wide range of scientific investigations. Its chemical and physical properties are of importance to the cosmetics industry, forensic scientists and to biomedical researchers. The fifth edition of this book confirms its position as the definitive monograph on the subject. Previous editions were recognized as “concise and thorough” (Journal of the American Chemical Society), “an invaluable resource” (Canadian Forensic Science Society Journal), and “highly recommended” (Textile Research Journal). Chemical and Physical Behavior of Human Hair is a teaching guide and reference volume for cosmetic chemists and other scientists in the hair products industry, academic researchers studying hair and hair growth, textile scientists and forensic specialists.
Features of the Fifth Edition:
·Recent advances in the classification and characterization of the different proteins and genes in IF and keratin associated proteins in human hair are described.
·The mechanism and incidence of hair growth and loss and hair density vs. age of males & females are described for Asians, Caucasians and Africans in different scalp regions.
·Details of hair surface lipids and cuticle membranes provide a better understanding of the surface and organization of the CMC and its involvement in stress strain is presented.
·Recent evidence demonstrates a more bilateral structure in curly hair and a more concentric arrangement of different cortical proteins in straighter hair.
·SNPs involved in hair form (curl and coarseness) and pigmentation and genes in alopecia and hair abnormalities are described.
·The latest biosynthetic scheme for hair pigments and structures for these and the different response of red versus brown-black pigments to photodegradation is described.
·A new method for curvature on 2,400 persons from different countries and groups is used to assign curvature throughout this book.
·Additional data for age and effects on diameter, ellipticity, elastic modulus, break stress and other parameters are presented with much larger data sets featuring statistical analyses.
·Hair conditioning, strength, breakage, split ends, flyaway, shine, combing ease, body, style retention, manageability and feel parameters are defined and described.
·A new section of different life stages by age groups considering collective and individual changes in hair fiber properties with age and how these affect assembly properties.
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Book Description Condition: New. pp. xiii + 305 2nd Edition. Seller Inventory # 26254409
Book Description Condition: New. pp. xiii + 305. Seller Inventory # 7626262