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The aim of this book is to provide beginning graduate students who completed the first two semesters of graduate-level analysis and PDE courses with a first exposure to the mathematical analysis of the incompressible Euler and Navier-Stokes equations. The book gives a concise introduction to the fundamental results in the well-posedness theory of these PDEs, leaving aside some of the technical challenges presented by bounded domains or by intricate functional spaces. Chapters 1 and 2 cover the fundamentals of the Euler theory: derivation, Eulerian and Lagrangian perspectives, vorticity, special solutions, existence theory for smooth solutions, and blowup criteria. Chapters 3, 4, and 5 cover ...
The oldest and most respected martial arts title in the industry, this popular monthly magazine addresses the needs of martial artists of all levels by providing them with information about every style of self-defense in the world - including techniques and strategies. In addition, Black Belt produces and markets over 75 martial arts-oriented books and videos including many about the works of Bruce Lee, the best-known marital arts figure in the world.
The oldest and most respected martial arts title in the industry, this popular monthly magazine addresses the needs of martial artists of all levels by providing them with information about every style of self-defense in the world - including techniques and strategies. In addition, Black Belt produces and markets over 75 martial arts-oriented books and videos including many about the works of Bruce Lee, the best-known marital arts figure in the world.
Because their hole is so crowded, one by one a bunch of bunnies hop across a field to a new hole--and then back again.
This handbook tackles the understudied relationship between music and comedy cinema by analysing the nature, perception, and function of music from fresh perspectives. Its approach is not only multidisciplinary, but also interdisciplinary in its close examination of how music and other cinematic devices interact in the creation of comedy. The volume addresses gender representation, national identities, stylistic strategies, and employs inputs from cultural studies, musicology, music theory, psychology, cognitivism, semiotics, formal and stylistic film analysis, and psychoanalysis. It is organised in four sections: general introductions, theoretical investigations, music and comedy within national cinemas, and exemplary case studies of films or authors.
The rise of digitisation and social media over the past decade has fostered the rise of participatory and DIY digital culture. Likewise, the archival community leveraged these new technologies, aiming to engage users and expand access to collections. This book examines the creation and development of participatory archives, its impact on archival theory, and present case studies of its real world application. Participatory Archives is divided into four sections with each focused on a particular aspect of participatory archives: social tagging and commenting; transcription; crowdfunding; and outreach & activist communities. Each section includes chapters summarizing the existing literature, a...
Math—the application of reasonable logic to reasonable assumptions—usually produces reasonable results. But sometimes math generates astonishing paradoxes—conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true. Did you know that a losing sports team can become a winning one by adding worse players than its opponents? Or that the thirteenth of the month is more likely to be a Friday than any other day? Or that cones can roll unaided uphill? In Nonplussed!—a delightfully eclectic collection of paradoxes from many different areas of math—popular-math writer Julian Havil reveals the math that shows the truth of these and many ...