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This book brings together tools that have been developed in a priori distant areas of mathematics, mechanics and physics. It provides coverage of selected contemporary problems in the areas of optimal design, mathematical models in material sciences, hysteresis, superconductivity, phase transition, crystal growth, moving boundary problems, thin shells and some of the associated numerical issues.
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A prominent star in both pre-Revolutionary Russia and New York, Lina Cavalieri, described as "the most beautiful woman in the world," was one of the most frequently photographed personalities of her time. The cabaret performer, courtesan, and international star is documented in this, her first English-language biography. Researched from Russian archive sources, the book details her career from her early experiences in cafe-chantant and variety theatre in Paris, London, and St. Petersburg, through a highly successful operatic career in which she sang in many of the world's leading opera houses with such celebrities as Caruso and Ruffo. In 1914, Cavalieri became the first great opera singer to appear in silent movies, making her debut in Manon Lescaut and continuing with a series of successful films. Her life was ended by an Allied air raid in World War II. The book includes excerpts from period reviews, programmes, posters, and many previously unseen photographs. Appendices include a bibliography, filmography, discography, and chronology of stage performances (dates, venues, work, cast, conductor).
This IMA Volume in Mathematics and its Applications HYDRODYNAMIC BEHAVIOR AND INTERACTING PARTICLE SYSTEMS is in part the proceedings of a workshop which was an integral part of the 1985-86 IMA program on STOCHASTIC DIFFERENTIAL EQUATIONS AND THEIR APPLICATIONS. We are grateful to the Scientific Committee: Daniel Stroock (Chairman) Wendell Fleming Theodore Harris Pierre-Louis Lions Steven Orey George Papanicolaou for planning and implementing an exciting and stimulating year-long program. We especially thank the Program Organizer, George Papanicolaou for orga nizing a workshop which brought together scientists and mathematicians in a variety of areas for a fruitful exchange of ideas. George ...
This book delves deeply into the real-world technologies behind the ‘directed energy weapons’ that many believe exist only within the confines of science fiction. On the contrary, directed energy weapons such as high energy lasers are very real, and this book provides a crash course in all the physical and mathematical concepts that make these weapons a reality. Written to serve both scientists researching the physical phenomena of laser effects, as well as engineers focusing on practical applications, the author provides worked examples demonstrating issues such as how to solve for heat diffusion equation for different boundary and initial conditions. Several sections are devoted to reviewing and dealing with solutions of diffusion equations utilizing the aid of the integral transform techniques. Ultimately this book examines the state-of-the-art in currently available high energy laser technologies, and suggests future directions for accelerating practical applications in the field.“br>/div
A Sobolev gradient of a real-valued functional on a Hilbert space is a gradient of that functional taken relative to an underlying Sobolev norm. This book shows how descent methods using such gradients allow a unified treatment of a wide variety of problems in differential equations. For discrete versions of partial differential equations, corresponding Sobolev gradients are seen to be vastly more efficient than ordinary gradients. In fact, descent methods with these gradients generally scale linearly with the number of grid points, in sharp contrast with the use of ordinary gradients. Aside from the first edition of this work, this is the only known account of Sobolev gradients in book form...
A wide-ranging collection of essays on millennial American culture that “marshals a vast pop vocabulary with easy wit” (The New York Times Book Review). From the far left to the far right, on talk radio and the op-ed page, more and more Americans believe that the social fabric is unraveling. Celebrity worship and media frenzy, suicidal cultists and heavily armed secessionists: modern life seems to have become a “pyrotechnic insanitarium,” Mark Dery says, borrowing a turn-of-the-century name for Coney Island. Dery elucidates the meaning to our madness, deconstructing American culture from mainstream forces like Disney and Nike to fringe phenomena like the Unabomber and alien invaders....
This volume covers a wide range of areas in mathematics and mathematics education. There is emphasis on applied mathematics, including partial differential equations, dynamical systems, and difference equations. Other areas represented include algebra and number theory, statistics, and issues in mathematics education.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)
This volume is a collection of articles dedicated to quantum graphs, a newly emerging interdisciplinary field related to various areas of mathematics and physics. The reader can find a broad overview of the theory of quantum graphs. The articles present methods coming from different areas of mathematics: number theory, combinatorics, mathematical physics, differential equations, spectral theory, global analysis, and theory of fractals. They also address various important applications, such as Anderson localization, electrical networks, quantum chaos, mesoscopic physics, superconductivity, optics, and biological modeling.