This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.
I have been working on this book since leaving Russia in April of 1972. It was my wish to write this book in English, and there were what seemed to me to be serious reasons for doing so. In recent years there has appeared a wealth of literature, in Russian, about Russia. As a rule, this literature has been published outside the USSR by authors who still live in the Soviet Union or who have only recently left it. A fair amount of important literature is being translated into English, but I believe it will be read main ly by specialists in Russian studies, or by those who have a great interest in the subject already. The majority of Russian authors write, of course, for the Russian reader or for an imagined Western public. It is my feeling that Russian authors have serious difficulties in understanding the men tality of Westerners, and that there still exists a gap between the visions of Russians and non-Russians. I have made my humble attempt to bridge ~his gap and I will be happy if I am even partly successful. The Russian world is indeed fascinating. Many people who visit Russia for a few days or weeks find it a country full of historical charm, fantastic architecture and infinite mystery. For many inside the country, especial ly for those in conflict with the Soviet authorities.
Discover the latest advances in ferroelectric and piezoelectric material sciences with this comprehensive monograph, divided into six chapters, each offering unique insights into the field.Chapter 1 delves into the manufacture and study of new ceramic materials, focusing on complex oxides of various metals (Aurivillius phases). The authors explore layered bismuth titanates and niobates, known for their high Curie temperature, and discuss how varying their chemical composition can lead to significant changes in their electrophysical properties. Chapter 2 explores the fascinating world of ferroelectrics — dielectrics with spontaneous polarization. Mathematical models and approaches of fractional calculus are used to understand the process of polarization switching in these materials, shedding light on the fractality of electrical responses. In Chapter 3, readers gain valuable insights into the inhomogeneous polarization process of polycrystalline ferroelectrics, a crucial stage in creating piezoceramic samples for energy converters. The authors present a comprehensive mathematical model that allows the determination of various characteristics, including dielectric and piezoelectric hysteresis loops and the effect of attenuation processes.Chapter 4 focuses on state-of-the-art piezoelectric energy harvesting, discussing theoretical, experimental, and computer modelling approaches. The authors discuss piezoelectric generators (PEGs) of different types (cantilever, stack and axis) and nonlinear effects arising at their operation. Chapter 5 presents expanded test and finite element models for cantilever-type and axial-type PEGs with active elements. The studies cover various structural and electric schemes of the PEGs with proof mass, bimorph and cylindrical piezoelectric elements, and excitation loads. Finally, Chapter 6 reviews some results in the last five years, obtained in modelling the vibration of devices from piezoactive materials, including five important effects: piezoelectric, flexoelectric, pyroelectric, piezomagnetic and flexomagnetic.As a diverse addition to the literature, this book is a relevant resource for researchers, engineers, and students seeking to expand their knowledge of cutting-edge developments in this exciting field.
The Microtron: Development and Applications is a comprehensive monograph that sums up more than 30 years of research and development in microtron technology and applications and provides a systematic presentation of results from investigations carried out in Russia and abroad. The first part describes the basic principles of various types of microt
Korash has background in both space policy and international relations, has been a journalist in both Russia and the US, was considered a candidate for cosmonaut when the Soviet Union broke up, and was involved in the 1993 joint Shuttle-Mir missions. He traces the Soviet/Russian view of the shift from competition to cooperation with the US space program. Annotation copyrighted by Book News, Inc., Portland, OR
This book gives an in-depth analysis of the physical phenomena of thrust production by laser radiation, as well as laser propulsion engines, and laser-propelled vehicles. It brings together into a unified context accumulated up-to-date information on laser propulsion research, considering propulsion phenomena, laser propulsion techniques, design of vehicles with laser propulsion engines, and high-power laser systems to provide movement for space vehicles. In particular, the reader will find detailed coverage of: designs of laser propulsion engines, operating as both air-breathing and ramjet engines to launch vehicles into LEOs; Assembly of vehicles whereby laser power from a remote laser is collected and directed into a propulsion engine; and, the laser-adaptive systems that control a laser beam to propel vehicles into orbits by delivering laser power through the Earth's atmosphere. This book is essential reading for researchers and professionals involved in laser propulsion.
In March of 1985 Mikhail Gorbachev came to power in the Seviet Union. Initially, one could discern serious changes in the policy and statements of this new, young, and obviously efficient leader only with great difficulty. While abroad, Gorbachev had said that anti-Stalinism was a form of anti-Communism. The newspapers were filled with words lauding "the sacred traditions of the 1930's". At the same time, the campaign against drunkenness, corruption, and sloppiness launched by Yuri Andropov was given a new impetus and the highest Party support. In April, 1986, the Chernobyl tragedy took place. The first reaction of the Soviet authorities was the usual one. The Soviet public was not properly informed about the disaster and its unprecedented peril. Millions of jubilant Soviet citizens crowded the squares and streets of Kiev and Minsk during the May Day festivities. We can only guess what the reaction of the Kremlin authorities would have been had not Swedish scientists traced and announced to the world the threatening level of radioactivity. Would the terms "glasnost'" and "perestrojka" have spread through the world press with such intensity and alacrity? A popular Soviet author wrote a year later in the Soviet media: "Chernobyl appeared to be not only a national event, a disaster shared by each of us, but also a dividing line between two eras of time.
This book focuses on the theory and practice involved in the management of innovative activities that enhance the competitiveness of enterprises, industries and economies. It presents a multi-criteria approach to the problem of selecting effective innovative projects and innovative technologies that increase competitiveness in high-tech industries. Further, the book develops a mathematical risk assessment model, and proposes new approaches for systematically identifying and assessing the probability of risk emergence. Lastly, it demonstrates how simulation models can be used to assess the impact of innovative technologies on the competitiveness of high-tech products.
Electronic structure and physical properties of strongly correlated materials containing elements with partially filled 3d, 4d, 4f and 5f electronic shells is analyzed by Dynamical Mean-Field Theory (DMFT). DMFT is the most universal and effective tool used for the theoretical investigation of electronic states with strong correlation effects. In the present book the basics of the method are given and its application to various material classes is shown. The book is aimed at a broad readership: theoretical physicists and experimentalists studying strongly correlated systems. It also serves as a handbook for students and all those who want to be acquainted with fast developing filed of condensed matter physics.
This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only the standard one-year courses of algebra and analysis.
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