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Pangeometry
Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they ...
Modern Geometry with Applications
This introduction to modern geometry differs from other books in the field due to its emphasis on applications and its discussion of special relativity as a major example of a non-Euclidean geometry. Additionally, it covers the two important areas of non-Euclidean geometry, spherical geometry and projective geometry, as well as emphasising transformations, and conics and planetary orbits. Much emphasis is placed on applications throughout the book, which motivate the topics, and many additional applications are given in the exercises. It makes an excellent introduction for those who need to know how geometry is used in addition to its formal theory.
The Soviet Proletarian Music Movement
The question of how music and politics interact has always aroused passionate debate, and it looms large in this study of the Soviet proletarian music movement. The proletarian music movement was the driving force behind many of the developments in early Soviet musical life, and its influence was felt long after the groups that belonged to it disbanded in 1932. It consisted of politicians, composers, musicologists, performers and educators who were united by their desire to create a dictatorship of the proletariat in musical life, and develop musical forms that responded to the needs of their new society. Based largely on primary and contemporary secondary sources, this book charts the history of the proletarian music movement, examines its beliefs, and discusses its work in the fields of musical education, amateur musical activities and composition. It discusses the origins of important characteristics of Soviet musical life, sheds light on a neglected area of early Soviet cultural history, examines how the cultural apparatus was mobilised to instil a political ideology, and challenges how Soviet musical life of the 1920s has traditionally been viewed.
Hyperbolic Geometry from a Local Viewpoint
A self-contained text on hyperbolic geometry for plane domains, ideal for graduate students and academic researchers.
The Russian Fascists
Beskrivelse af fascistiske bevægelser blandt russiske emigranter, som efter revolutionen i 1917 i deres eksil søgte at kompensere for deres magtesløshed ved at hengive sig til desperate fantasier.
Tractata altaica
None
The Man of Numbers
In 1202, a 32-year old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the seventh and eighth centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential. The young Italian, Leonardo of Pisa (better known today as Fibonacci), had learned the Hindu number system when he traveled to North Africa with his father, a customs agent. The book he created was Liber abbaci, the 'Book of Calculation', and the revoluti...
Introduction to Altaic Linguistics
The "Introduction to Altaic Linguistics" is designed as a manual for university students. The first part gives a survey of the Altaic languages, i.e., Mongolian, Manchu-Tungus, Chuvash-Turkic and Korean, and a classification of the Altaic languages and classifications of languages within each family. The second part presents a brief outline of the history of studying Altaic linguistics. It also contains a number of bibliographical data and bibliographies of famous scholars. The third part gives a brief history of the Altaic theory. The subsequent portions of the book deal with problems of mutual influences of the Altaic languages (e.g., the Turkic influence of Mongolian), Altaic influences in non-Altaic languages (e.g., the Turkic influence on Sayan-Samoyed, or Mari), non-Altaic influences in Altaic languages (e.g. Sogdian elements in Turkic), and structural features common to all Altaic languages.
