Nonlinear differential or difference equations are encountered not only in mathematics, but also in many areas of physics (evolution equations, propagation of a signal in an optical fiber), chemistry (reaction-diffusion systems), and biology (competition of species). This book introduces the reader to methods allowing one to build explicit solutions to these equations. A prerequisite task is to investigate whether the chances of success are high or low, and this can be achieved without any a priori knowledge of the solutions, with a powerful algorithm presented in detail called the Painlevé test. If the equation under study passes the Painlevé test, the equation is presumed integrable. If on the contrary the test fails, the system is nonintegrable or even chaotic, but it may still be possible to find solutions. The examples chosen to illustrate these methods are mostly taken from physics. These include on the integrable side the nonlinear Schrödinger equation (continuous and discrete), the Korteweg-de Vries equation, the Hénon-Heiles Hamiltonians, on the nonintegrable side the complex Ginzburg-Landau equation (encountered in optical fibers, turbulence, etc), the Kuramoto-Sivashinsky equation (phase turbulence), the Kolmogorov-Petrovski-Piskunov equation (KPP, a reaction-diffusion model), the Lorenz model of atmospheric circulation and the Bianchi IX cosmological model. Written at a graduate level, the book contains tutorial text as well as detailed examples and the state of the art on some current research.
This text brings to vision research a treatment different from that often found in books on the subject in its emphasis on nonlinear aspects of vision, from human perception to eye cells of the fly. There is considerable emphasis on mathematics, which forms not only models but the algorithms for processing data.
Many physical phenomena are described by nonlinear evolution equation. Those that are integrable provide various mathematical methods, presented by experts in this tutorial book, to find special analytic solutions to both integrable and partially integrable equations. The direct method to build solutions includes the analysis of singularities à la Painlevé, Lie symmetries leaving the equation invariant, extension of the Hirota method, construction of the nonlinear superposition formula. The main inverse method described here relies on the bi-hamiltonian structure of integrable equations. The book also presents some extension to equations with discrete independent and dependent variables. The different chapters face from different points of view the theory of exact solutions and of the complete integrability of nonlinear evolution equations. Several examples and applications to concrete problems allow the reader to experience directly the power of the different machineries involved.
Peripheral nerve analysis is a challenging task for pathologists, given the advent of new diagnoses and techniques of analysis and the impact of molecular genetics. This book presents a simple, logical method for constructing a differential diagnosis based on pathology and clinical presentation. It also provides advice on the selection of ancillary molecular, immunohistochemical and genetic techniques to establish a definitive diagnosis. Clear, authoritative guidance is offered on diagnosis of the full range of neuropathies with the aid of a wealth of high-quality color photomicrographs and electron micrographs. The pathologist will benefit greatly from the identification of a variety of artifacts and normal structures occasionally encountered in nerve biopsies that need to be distinguished from specific pathologic alterations. This user-friendly, practical text will be an invaluable aid in achieving the most specific diagnosis possible.
This book documents a growing global collaboration among states, non-state actors, and private-sector firms concerned with biodiversity preservation to promote so-called market-based instruments (MBIs) that seek to reconcile environmental preservation and economic development by harnessing preservation itself as the source of conservation finance. It describes how this project has developed over the past several decades, the expanding network of organizations and actors that have come together around its promotion, and how the project has managed to "fail forward" over time despite a consistent inability to actually achieve its lofty aims"--
Now with full-color illustrations throughout, dozens of new review questions, and state-of-the-art coverage of this fast-changing area, Pediatric Gastrointestinal and Liver Disease, 6th Edition, remains the leading text in the field. You’ll find definitive guidance on diagnosis and treatment from experienced editors Drs. Robert Wyllie, Jeffrey S. Hyams, and Marsha Kay, as well as globally renowned contributors who share their knowledge and expertise on complex issues. Features an enhanced art program with full-color anatomical figures, clinical photos, and other illustrations throughout the text. Includes a new chapter on fecal transplantation (FCT), covering donor and recipient screening, preparation, delivery, follow-up, and safety considerations, as well as investigative uses for FCT for disorders such as IBD, IBS, and D-lactic acidosis. Prepares you for certification and recertification with more than 400 board review-style questions, answers, and rationales – 30% new to this edition. Includes detailed diagrams that accurately illustrate complex concepts and provide at-a-glance recognition of disease processes. Contains numerous algorithms that provide quick and easy retrieval of diagnostic, screening, and treatment information. Provides up-to-date information on indigenous flora and the gut microbiome and clinical correlations to treatment, as well as advancements in liver transplantation including split liver transplantation (SLT) and living donor liver transplantation (LDLT). Details key procedures such as esophagogastroduodenoscopy and related techniques; colonoscopy and polypectomy; endoscopic retrograde cholangiopancreatography; capsule endoscopy and small bowel enteroscopy; gastrointestinal pathology; and more.
Consult the leading text in the field that delivers the information you need to diagnose and treat pediatric gastrointestinal and liver diseases effectively. In one convenient and comprehensive volume, Drs. Robert Wyllie, Jeffrey S. Hyams, and Marsha Kay provide all the latest details on the most effective new therapies, new drugs, and new techniques in the specialty. In addition, the new two-color design throughout helps you find what you need quickly and easily. Full-color endoscopy images to help improve your visual recognition Definitive guidance from renowned international contributors who share their knowledge and expertise in this complex field Detailed diagrams that accurately illustrate complex concepts and provide at-a-glance recognition of disease processes More than 400 board review-style questions, answers, and rationales New therapies for hepatitis B and C, new drugs for the treatment of inflammatory bowel disease, and an expanded discussion of the newest endoscopic and motility techniques available for pediatric patients The most current information on diagnosing and treating abnormalities of protein, fat, and carbohydrate metabolism New chapters on pancreatic transplantation and liver pathology The latest surgical techniques for children with gastrointestinal conditions
The best cases, the best questions, the best review for the General Surgery boards and ABSITE General Surgery Examination and Board Review is the perfect way to prepare for General Surgery certification exams. Covering the full range of exam topics, this high-yield review features an effective case-based approach that sharpens clinical decision-making skills and gives the content real-world relevancy. Each of the more than 100 chapters opens with a clinical case and is followed by Q&A related to that particular case. You also get detailed evidenced-based answer explanations and references to facilitate more in-depth study. Features: • Topics mirror the exam blueprint to ensure you are studying the most relevant material possible • Enables you to incorporate the proven benefits of case-based review into general surgery board review • An essential resource for general surgery residents as well as practicing surgeons preparing for recertification – and invaluable for ABSITE review • More than 700 questions – all with detailed answer explanations • Includes chapters on timely topics such as ethical/legal issue, robotic-assisted surgery, end of life care, and surgical nutrition • Coverage reflects the very latest clinical advances so you can incorporate this information into your exam preparation or daily practice
The best cases, the best questions, the best review—the BEST way to prepare for the General Surgery Boards and ABSITE Ideal for both written and oral board prep, General Surgery Examination and Board Review is the perfect way to prepare for your certification exams. Covering the full range of exam topics, this high-yield review features an effective case-based approach that sharpens clinical decision-making skills and gives the content real-world relevance. Each of the 100+ chapters opens with a clinical case and is followed by Q&A related to that particular case. You also get detailed evidenced-based answer explanations and references to facilitate more in-depth study. Features: 175 photos and illustrations 700+ questions with detailed answer explanations Topics mirror the exam blueprint to maximize the effectiveness of the study process Includes chapters on ethical/legal issues, robotic-assisted surgery, end of life care, and surgical nutrition Content reflects the latest clinical advances
Over a decade ago, following a sharp rise in developmental disorders such as autism and ADHD, the mercury-containing preservative Thimerosal was widely believed to have been eliminated from vaccine supplies in the US and abroad. However, dangerous quantities of Thimerosal continue to be used, posing a significant threat to public health and leading to a crisis of faith in vaccine safety. In this groundbreaking book, Robert F. Kennedy, Jr., and Dr. Mark Hyman examine the research literature on Thimerosal and make a very clear statement about its potentially dangerous effects. In the past, the CDC, FDA, NIH, and AAP, as well as the US Congress, the American Academy of Family Physicians, the US Department of Agriculture, the European Medicines Agency, and the California Environmental Protection Agency have expressed concerns over the use of Thimerosal in vaccines. But despite the many voices calling for action, the media and policy makers have repeatedly failed to adequately address the issue. Now, with Thimerosal: Let the Science Speak, the goals are to educate parents, doctors, and health policy makers; to eliminate this toxic chemical from the world’s vaccine supplies; to move toward safer alternatives; and to maintain or increase vaccination rates critical to the United States and developing nations. With safer options available, parents shouldn’t have to worry about the devastating effects of vaccinating their children.
This book includes the year in review, economy and business, computers, science and technology, noted personalities, sports, vital statistics, and more.
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