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Fully Nonlinear PDEs in Real and Complex Geometry and Optics
The purpose of this CIME summer school was to present current areas of research arising both in the theoretical and applied setting that involve fully nonlinear partial different equations. The equations presented in the school stem from the fields of Conformal Mapping Theory, Differential Geometry, Optics, and Geometric Theory of Several Complex Variables. The school consisted of four courses: Extremal problems for quasiconformal mappings in space by Luca Capogna, Fully nonlinear equations in geometry by Pengfei Guan, Monge-Ampere type equations and geometric optics by Cristian E. Gutiérrez, and On the Levi Monge Ampere equation by Annamaria Montanari.
Weakly Differentiable Mappings between Manifolds
The authors study Sobolev classes of weakly differentiable mappings $f: {\mathbb X}\rightarrow {\mathbb Y}$ between compact Riemannian manifolds without boundary. These mappings need not be continuous. They actually possess less regularity than the mappings in ${\mathcal W}{1, n}({\mathbb X}\, \, {\mathbb Y})\, $, $n=\mbox{dim}\, {\mathbb X}$. The central themes being discussed a
Moduli in Modern Mapping Theory
Based on recent research papers, this book presents a modern account of mapping theory with emphasis on quasiconformal mapping and its generalizations. It contains an extensive bibliography.
Modern Nonparametric, Robust and Multivariate Methods
Written by leading experts in the field, this edited volume brings together the latest findings in the area of nonparametric, robust and multivariate statistical methods. The individual contributions cover a wide variety of topics ranging from univariate nonparametric methods to robust methods for complex data structures. Some examples from statistical signal processing are also given. The volume is dedicated to Hannu Oja on the occasion of his 65th birthday and is intended for researchers as well as PhD students with a good knowledge of statistics.
Aquatic Animal Nutrition
As sequel to Aquatic Animal Nutrition – A Mechanistic Perspective from Individuals to Generations, the present treatise on organic macro- and micronutrients continues the unique cross fertilization of aquatic ecology/ecophysiology and aquaculture. This treatise considers proteins and their constituents, carbohydrates from mono- to polysaccharides, fatty acids from free acids to fat, and waxes. It becomes obvious that these organic nutrients are more than only simple fuel for the metabolism of animals; rather, their constituents have messenger and controlling function for the actual consuming individual and even for succeeding generations. This aspect will become particularly clear by putti...
Comprehensive Materials Processing
Comprehensive Materials Processing, Thirteen Volume Set provides students and professionals with a one-stop resource consolidating and enhancing the literature of the materials processing and manufacturing universe. It provides authoritative analysis of all processes, technologies, and techniques for converting industrial materials from a raw state into finished parts or products. Assisting scientists and engineers in the selection, design, and use of materials, whether in the lab or in industry, it matches the adaptive complexity of emergent materials and processing technologies. Extensive traditional article-level academic discussion of core theories and applications is supplemented by app...
Evolutionary Biology
This book presents selected contributions to the 19th Evolutionary Biology Meeting, which took place in September 2015 in Marseille. It consists of 22 chapters, which are grouped in four sections: · Convergent Evolution · Evolution of Complex Traits · Concepts · Methods The annual Evolutionary Biology Meetings in Marseille serve to gather leading evolutionary biologists and other scientists using evolutionary biology concepts, e.g for medical research, to promote the exchange of ideas and to encourage interdisciplinary collaborations. Offering an up-to-date overview of recent findings in the field of evolutionary biology, this book is an invaluable source of information for scientists, teachers and advanced students.
Dermatokinetics of Therapeutic Agents
Novel drug delivery technologies strive to bypass challenging biological layers to elicit desired pharmacological activity. The skin, one of our key defensive barriers, allows certain topically applied substances and toxins to pass. The dermatokinetics of a drug determines the efficacy of treatment of skin disorders.Presenting the first compre
Modern Acoustical Techniques for the Measurement of Mechanical Properties
This volume provides an overview of modern acoustical techniques for the measurement of mechanical properties. Chapters include Fundamentals of Elastic Constants; Point Source/Point Receiver Methods; Laser Controlled Surface Acoustic Waves; Quantitative Acoustical Microscopy of Solids; Resonant Ultrasound Spectroscopy; Elastic Properties and Thermodynamics; Sound Speed as a Thermodynamic Property of Fluids; Noninvasive Determination of Sound Speed in Liquids; Introduction to the Elastic Constants of Gases; and Acoustic Measurement in Gases.
The Beltrami Equation
The measurable Riemann Mapping Theorem (or the existence theorem for quasiconformal mappings) has found a central role in a diverse variety of areas such as holomorphic dynamics, Teichmuller theory, low dimensional topology and geometry, and the planar theory of PDEs. Anticipating the needs of future researchers, the authors give an account of the state of the art as it pertains to this theorem, that is, to the existence and uniqueness theory of the planar Beltrami equation, and various properties of the solutions to this equation. The classical theory concerns itself with the uniformly elliptic case (quasiconformal mappings). Here the authors develop the theory in the more general framework of mappings of finite distortion and the associated degenerate elliptic equations.
