This book is intended to be a self-contained introduction to analytic foundations of a level set method for various surface evolution equations including curvature ?ow equations. These equations are important in various ?elds including material sciences, image processing and di?erential geometry. The goal of this book is to introduce a generalized notion of solutions allowing singularities and solve the initial-value problem globally-in-time in a generalized sense. Various equivalent de?nitions of solutions are studied. Several new results on equivalence are also presented. Wepresentherearathercompleteintroductiontothetheoryofviscosityso- tionswhichis a keytoolforthe levelsetmethod. Alsoa self-containedexplanation isgivenforgeneralsurfaceevolutionequationsofthe secondorder.Althoughmost ofthe resultsin this book aremoreor lessknown,they arescatteredinseveralr- erences, sometimes without proof. This book presents these results in a synthetic way with full proofs. However, the references are not exhaustive at all. The book is suitable for applied researchers who would like to know the detail of the theory as well as its ?avour.No familiarity with di?erential geometry and the theory of viscosity solutions is required. The prerequisites are calculus, linear algebra and some familiarity with semicontinuous functions. This book is also suitable for upper level under graduate students who are interested in the ?eld.
This book presents a comprehensive, encyclopedic approach to the subject of foliations, one of the major concepts of modern geometry and topology. It addresses graduate students and researchers and serves as a reference book for experts in the field.
<i>Earth Surface Processes</i> is an introductory text for those studying the dynamics of fluid and sediment transport in the environments, in the context of both present-day patterns as well as the environmental changes decipherable in the geological record. The book is divided into two parts. The first deals with the global-scale aspects of the earth's surface system. The second part focuses on the physical underpinnings for fluid and sediment transport in a number of settings, found at the earth's surface and in its oceans. <br> <p> <i>Earth Surface Processes</i> fits into the literature of the broad holistic discipline of 'Earth System Science.' The author illustrates the physical principles of earth's surface processes and explains the relevant theories by quantitative practical exercises. <ul> <li> <div>The pioneering textbook on the "new sedimentology"</div> <li> <div>One of the first textbooks to adopt the Earth Systems approach to geology, developed at Penn State and Stanford</div> <li> <div>Should reinvigorate more traditional courses in physical sedimentology and dynamical sedimentology</div> <li> <div>Successfully marries the innovative holistic approach to Earth Systems with the traditional reductionist approach to sedimentary processes</div> <li> <div>Explains both the global-scale Earth Surface System and the fluid dynamics and sedimentary transport processes that underlie this</div> <li> <div>Quantitative approach is reinforced with worked examples and solutions</div> <li> <div>Richly illustrated with original diagrams and a colour plate section</div> </ul>
Amazon Dog Category #1 Best SellerA panicked puppy in a Los Angeles shelter is deemed too terrified for adoption and scheduled to be killed. When a rescue volunteer frees her at the last minute, the little girl is 15 pounds underweight and covered with open sores, swollen ticks and thousands of fleas. Her ears are stuffed with blood and wax, her paws filled with concrete. The victim of severe neglect and confinement, her muscles are atrophied - even her tongue lolls in her mouth. It hurts her to walk more than a few feet, and she limps. She has chewed and licked through the skin on her limbs. Physical ailments can heal, but the greatest challenge will be to overcome what life has taught her about humans: that they are to be feared. Named Roo, the puppy is randomly assigned to a volunteer foster parent with neither special skills nor experience with fearful dogs who writes that he is, "just as scared as she is." Notes from a Dog Rescue in Progress is the emotional and inspiring true story of Roo's journey and the powerful bond formed as she and her foster parent develop the trust and understanding to address her fears and problems one at a time in an attempt to redeem an unredeemable dog.
At the age of 29, Sydney has already been once divorced and once widowed. Trying to regain her footing, she has answered an ad to tutor the teenage daughter of a well-to-do couple as they spend a sultry summer in their oceanfront New Hampshire cottage. But when the Edwards's two grown sons, Ben and Jeff, arrive at the beach house, Sydney finds herself caught up in a destructive web of old tensions and bitter divisions. As the brothers vie for her affections, the fragile existence Sydney has rebuilt is threatened. With the subtle wit, lyrical language, and brilliant insight into the human heart that has led her to be called "an author at one with her metier" (Miami Herald), Shreve weaves a novel about marriage, family, and the supreme courage it takes to love.
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