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Complex Analysis in Locally Convex Spaces
Infinite dimensional holomorphy is the study of holomorphic or analytic func tions over complex topological vector spaces. The terms in this description are easily stated and explained and allow the subject to project itself ini tially, and innocently, as a compact theory with well defined boundaries. However, a comprehensive study would include delving into, and interacting with, not only the obvious topics of topology, several complex variables theory and functional analysis but also, differential geometry, Jordan algebras, Lie groups, operator theory, logic, differential equations and fixed point theory. This diversity leads to a dynamic synthesis of ideas and to an appreciation of a rema...
All the existing books in Infinite Dimensional Complex Analysis focus on the problems of locally convex spaces. However, the theory without convexity condition is covered for the first time in this book. This shows that we are really working with a new, important and interesting field.Theory of functions and nonlinear analysis problems are widespread in the mathematical modeling of real world systems in a very broad range of applications. During the past three decades many new results from the author have helped to solve multiextreme problems arising from important situations, non-convex and non linear cases, in function theory.Foundations of Complex Analysis in Non Locally Convex Spaces is ...
Differential Calculus and Holomorphy
This work contains a comprehensive description of Kwaza, which is an endangered and unclassified indigenous language of Southern Rondônia, Brazil. The Kwaza language, also known in the literature as Koaiá, is spoken by around 25 people today. Until recently, our knowledge of Kwaza was based on only three short word lists, from 1938, 1943 and 1984. Like the language, the culture and the history of its speakers are undocumented. The Kwaza people as an ethnic group have been decimated by increasing ecological, physical, social and cultural pressure from Western civilisation since contact in the past century. This is the situation for many indigenous peoples of Rondônia and of the Amazon regi...
In Nucleation in Condensed Matter, key theoretical models for nucleation are developed and experimental data are used to discuss their range of validity. A central aim of this book is to enable the reader, when faced with a phenomenon in which nucleation appears to play a role, to determine whether nucleation is indeed important and to develop a quantitative and predictive description of the nucleation behavior. The third section of the book examines nucleation processes in practical situations, ranging from solid state precipitation to nucleation in biological systems to nucleation in food and drink. Nucleation in Condensed Matter is a key reference for an advanced materials course in phase transformations. It is also an essential reference for researchers in the field. Unified treatment of key theories, experimental evaluations and case studies Complete derivation of key models Detailed discussion of experimental measurements Examples of nucleation in diverse systems
Functional Analysis, Holomorphy and Approximation Theory II
A useful guide for researchers and professionals, graduate and senior undergraduate students, this book provides an in-depth look at applied and geometrical probability with an emphasis on statistical distributions. A meticulous treatment of geometrical probability, kept at a level to appeal to a wider audience including applied researchers who will find the book to be both functional and practical with the large number of problems chosen from different disciplines A few topics such as packing and covering problems that have a vast literature are introduced here at a peripheral level for the purpose of familiarizing readers who are new to the area of research.
This book serves as a practical guide for the prevention and treatment of radiation dermatitis. Skin toxicity caused by radiation treatment is common among cancer patients and minimizing the frequency and severity of these reactions improves quality of life and prevents interruptions that can compromise local-regional control. Each chapter is devoted to a specific disease site, such as the head and neck, breast, gastrointestinal, genitourinary, gynecologic, and central nervous system. Pediatric malignancies and wound care for locally advanced cancers are also discussed. For each topic, the range and frequency of the observed skin reactions, factors influencing these reactions, the typical co...