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The third of three volumes on partial differential equations, this is devoted to nonlinear PDE. It treats a number of equations of classical continuum mechanics, including relativistic versions, as well as various equations arising in differential geometry, such as in the study of minimal surfaces, isometric imbedding, conformal deformation, harmonic maps, and prescribed Gauss curvature. In addition, some nonlinear diffusion problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces, and also a development of Calderon-Zygmund theory and paradifferential operator calculus. The book is aimed at graduate students in mathematics, and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis and complex analysis
Before there was hip hop, there was DJ Kool Herc. On a hot day at the end of summer in 1973 Cindy Campbell threw a back-to-school party at a park in the South Bronx. Her brother, Clive Campbell, spun the records. He had a new way of playing the music to make the breaks—the musical interludes between verses—longer for dancing. He called himself DJ Kool Herc and this is When the Beat Was Born. From his childhood in Jamaica to his youth in the Bronx, Laban Carrick Hill's book tells how Kool Herc came to be a DJ, how kids in gangs stopped fighting in order to breakdance, and how the music he invented went on to define a culture and transform the world.
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