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Geometry
This book provides a systematic introduction to various geometries, including Euclidean, affine, projective, spherical, and hyperbolic geometries. Also included is a chapter on infinite-dimensional generalizations of Euclidean and affine geometries. A uniform approach to different geometries, based on Klein's Erlangen Program is suggested, and similarities of various phenomena in all geometries are traced. An important notion of duality of geometric objects is highlighted throughout the book. The authors also include a detailed presentation of the theory of conics and quadrics, including the theory of conics for non-Euclidean geometries. The book contains many beautiful geometric facts and has plenty of problems, most of them with solutions, which nicely supplement the main text. With more than 150 figures illustrating the arguments, the book can be recommended as a textbook for undergraduate and graduate-level courses in geometry.
Non-Crystalline Chalcogenicides
The earliest experimental data on an oxygen-free glass have been published by Schulz-Sellack in 1870 [1]. Later on, in 1902, Wood [2], as well as Meier in 1910 [3], carried out the first researches on the optical properties of vitreous selenium. The interest in the glasses that exhibit transparency in the infrared region of the optical spectrum rose at the beginning of the twentieth century. Firstly were investigated the heavy metal oxides and the transparency limit was extended from (the case of the classical oxide glasses) up to wavelength. In order to extend this limit above the scientists tried the chemical compositions based on the elements of the sixth group of the Periodic Table, the ...
Semiconducting Chalcogenide Glass I
Chalcogenide glass is made up of many elements from the Chalcogenide group. The glass is transparent to infrared light and is useful as a semiconductor in many electronic devices. For example, chalcogenide glass fibers are a component of devices used to perform laser surgery. This book is a comprehensive survey of the current state of science and technology in the field of chalcogenide semiconductor glasses. While the majority of the book deals with properties of chalcogenide glass, chapters also deal with industrial applications, synthesis and purification of chalcogenide glass, and glass structural modification. The first individual or collective monograph written by Eastern European scientists known to Western readers regarding structural and chemical changes in chalcogenide vitreous semiconductors(CVS) Chapters written by B.G. Kolomiets who discovered the properties of chalcogenide glass in 1955 Provides evidence and discussion for problems discussed by authors from opposing positions.
Variational Analysis and Applications
This Volume contains the (refereed) papers presented at the 38th Conference of the School of Mathematics "G.Stampacchia" of the "E.Majorana" Centre for Scientific Culture of Erice (Sicily), held in Memory ofG. Stampacchia and J.-L. Lions in the period June 20 - July 2003. The presence of participants from Countries has greatly contributed to the success of the meeting. The School of Mathematics was dedicated to Stampacchia, not only for his great mathematical achievements, but also because He founded it. The core of the Conference has been the various features of the Variational Analysis and their motivations and applications to concrete problems. Variational Analysis encompasses a large are...
Insulating and Semiconducting Glasses
This book reviews principal topical issues on the basic science of glasses and amorphous thin-films. It also includes select applications of these materials in current and evolving technologies, including optical recording, imaging, solar cells, battery technology and field-emission displays. The glass systems of interest include oxides, chalcogenides and chalcohalides of the group III, IV and V elements, as well as amorphous thin-films of the group IV elements. Glass formation in covalent melts can be understood in terms of new ideas based on constraint counting algorithms which have led to the fragile-strong classification and to the concept of rigidity transition. Vibrational excitations ...
Analysis II
Intended for a wide range of readers, this book covers the main ideas of convex analysis and approximation theory. The author discusses the sources of these two trends in mathematical analysis, develops the main concepts and results, and mentions some beautiful theorems. The relationship of convex analysis to optimization problems, to the calculus of variations, to optimal control and to geometry is considered, and the evolution of the ideas underlying approximation theory, from its origins to the present day, is discussed. The book is addressed both to students who want to acquaint themselves with these trends and to lecturers in mathematical analysis, optimization and numerical methods, as well as to researchers in these fields who would like to tackle the topic as a whole and seek inspiration for its further development.
Peasant Farming in Muscovy
This comprehensive study of farming methods and agrarian organization in Russia before the time of Peter the Great shifts the emphasis from the great estates to the basic production unit, the peasant family farms, and uses archaeological and enthnographic materials to supplement the documentary evidence. The methods of production and the farm implements used are described in detail and Professor Smith argues that features inherent in peasant farming account for Russian backwardness during this period. Part I classifies and describes the range of agrarian activities carried on in Muscovy - arable farming, hayfields, livestock, and gathering from the forest - and presents a model of a hypothetical farm unit; Part II examines three regions -Moscow, Toropets and Kazan - which stretch across central European Russia; and Part III provides a chapter on the relationship between peasant farming and the state.
Theory of Extremal Problems
Theory of Extremal Problems
