Outstanding, wide-ranging material on classification and reduction to canonical form of second-order differential equations; hyperbolic, parabolic, elliptic equations, more. Bibliography.
This book presents a systematic and detailed account of the classical and quantum theory of the relativistic string and some of its modifications. Main attention is paid to the first-quantized string theory with possible applications to the string models of hadrons as well as to the superstring approach to unifications of all the fundamental interactions in the elementary particle physics and to the ?cosmic? strings. Some new aspects are provided such as the consideration of the string in an external electromagnetic field and in the space-time of constant curvature (the de Sitter universe), the relativistic string loaded by point-like masses and the Cartan method for describing the classical string dynamics. The relativistic membranes and p-branes are also considered briefly. The book is sufficiently self-contained and can be considered as an introduction to this new and fast developing branch of the elementary particle physics.
This book deals with the sustainability of agriculture on the Black Earth by drawing on data from long-term field experiments. It emphasises the opportunities for greater food and water security at local and regional levels. The Black Earth, Chernozem in Russian, is the best arable soil in the world and the breadbasket of Europe and North America. It was the focus of scientific study at the very beginnings of soil science in the late 19th century—as a world in itself, created by the roots of the steppe grasses building a water-stable granular structure that holds plentiful water, allows rapid infiltration of rain and snow melt, and free drainage of any surplus. Under the onslaught of industrial farming, Chernozem have undergone profound but largely unnoticed changes with far-reaching consequences—to the point that agriculture on Chernozem is no longer sustainable. The effects of agricultural practices on global warming, the diversion of rainfall away from replenishment of water resources to destructive runoff, and the pollution of streams and groundwater are all pressing issues. Sustainability absolutely requires that these consequences be arrested.
This authoritative new biography of the Russian poet and prose writer Boris Pasternak is the first part of a two-volume set, covering the period 1890-1928. Drawing on archives and many eyewitness accounts, Barnes' study sheds light on currently unexplored aspects of Pasternak's character and family background, and his artistic, social and historical environment. He combines biographical investigation with detailed textual analysis of translated quotations in verse and prose to reveal the source of Pasternak's extraordinary writings. The book examines a wide range of topics that include his musical enthusiasm and relations with Scriabin, his philosophical studies, his activities in World War I and his response to the 1917 revolutions, and his stance as a liberal artistic intellectual in the 1920s.
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