Lie groups, Lie algebras, and representation theory are the main focus of this text. In order to keep the prerequisites to a minimum, the author restricts attention to matrix Lie groups and Lie algebras. This approach keeps the discussion concrete, allows the reader to get to the heart of the subject quickly, and covers all of the most interesting examples. The book also introduces the often-intimidating machinery of roots and the Weyl group in a gradual way, using examples and representation theory as motivation. The text is divided into two parts. The first covers Lie groups and Lie algebras and the relationship between them, along with basic representation theory. The second part covers the theory of semisimple Lie groups and Lie algebras, beginning with a detailed analysis of the representations of SU(3). The author illustrates the general theory with numerous images pertaining to Lie algebras of rank two and rank three, including images of root systems, lattices of dominant integral weights, and weight diagrams. This book is sure to become a standard textbook for graduate students in mathematics and physics with little or no prior exposure to Lie theory. Brian Hall is an Associate Professor of Mathematics at the University of Notre Dame.
Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert space approach to quantum theory; the Schrödinger equation in one space dimension; the Spectral Theorem for bounded and unbounded self-adjoint operators; the Stone–von Neumann Theorem; the Wentzel–Kramers–Brillouin approximation; the role of Lie groups and Lie algebras in quantum mechanics; and the path-integral approach to quantum mechanics. The numerous exercises at the end of each chapter make the book suitable for both graduate courses and independent study. Most of the text is accessible to graduate students in mathematics who have had a first course in real analysis, covering the basics of L2 spaces and Hilbert spaces. The final chapters introduce readers who are familiar with the theory of manifolds to more advanced topics, including geometric quantization.
Stop, look and learn with us as we gather information through the mirror called the skin. The skin has much to tell us about where to look for illness, how grave that illness may be, and what strategies for therapy might be most advantageous. The skin is also the organ most easily accessible for obtaining tissue for pathological examination, culture, and examination of debris. These tools will also be discussed and expanded upon. This book classifies the skin conditions from the standpoint of organ involved as well as specific disease. The text makes use of many illustrations and photographs.
Trusted by generations of medical students, residents, and non-specialist practitioners, Sauer’s Manual of Skin Diseases continues the tradition of excellence in the fully updated 11th Edition. This bestselling dermatology manual provides full-color photographs, step-by-step instructions, and easy-to-follow algorithms for diagnosis and treatment of all common skin conditions. The practical, user-friendly format consists of two distinct parts: the first part covers the diagnosis and management of the most commonly seen skin diseases. The second part is a comprehensive Dictionary-Index to the entire field of dermatology, including rare diseases and unusual dermatologic terms.
This expert volume in the Diagnostic Pathology series is an excellent point-of-care resource for practitioners at all levels of experience and training. Covering all areas of nonneoplastic dermatopathology, it incorporates the most recent clinical, pathological, and molecular knowledge in the field to provide a comprehensive overview of all key issues relevant to today’s practice. Richly illustrated and easy to use, Diagnostic Pathology: Nonneoplastic Dermatopathology is a one-stop reference for accurate, complete pathology reports, ideal as a day-to-day reference or as a reliable training resource. Provides a clear framework for a better understanding of the clinical and histopathologic appearances of more than 250 nonneoplastic entities, presenting major histological and clinical differential diagnosis in order of decreasing frequency found in the general population Breaks down the complex subject of inflammatory dermatopathology into digestible chapters, organized into major histological reaction patterns and/or disease categories Features thorough updates throughout, including new chapters on COVID-related rashes, measles, and hair-shaft disorders; new details on infectious process for diseases; new information on drug rashes; new information on rare infections and clinical identification of rare diseases; and updates for unknown and previously unknown side effects regarding long-term immunosuppressed patients Includes approximately 1,500 high-quality clinical and histological images, gross pathology images, radiologic images, and full-color drawings to help practicing and in-training pathologists reach a confident diagnosis Provides practical and accessible clinical references for many lesions not often seen or taught outside of a specific clinical rotation in dermatology or dermatopathology
This book provides an introduction to Lie groups, Lie algebras, and repre sentation theory, aimed at graduate students in mathematics and physics. Although there are already several excellent books that cover many of the same topics, this book has two distinctive features that I hope will make it a useful addition to the literature. First, it treats Lie groups (not just Lie alge bras) in a way that minimizes the amount of manifold theory needed. Thus, I neither assume a prior course on differentiable manifolds nor provide a con densed such course in the beginning chapters. Second, this book provides a gentle introduction to the machinery of semi simple groups and Lie algebras by treating the representation theory of SU(2) and SU(3) in detail before going to the general case. This allows the reader to see roots, weights, and the Weyl group "in action" in simple cases before confronting the general theory. The standard books on Lie theory begin immediately with the general case: a smooth manifold that is also a group. The Lie algebra is then defined as the space of left-invariant vector fields and the exponential mapping is defined in terms of the flow along such vector fields. This approach is undoubtedly the right one in the long run, but it is rather abstract for a reader encountering such things for the first time.
Part of the highly regarded Diagnostic Pathology series, Diagnostic Pathology: Nonneoplastic Dermatopathology, Second Edition is designed to improve patient care by breaking down the subject of inflammatory dermatopathology into digestible chapters, equipping physicians with the knowledge necessary to reach a confident diagnosis. Classic histologic images highlighting the most important findings are also included, making this a perfect visual aid for residents and practicing pathologists alike. Includes clinical images of nearly all 275 diagnoses discussed in the book, ensuring a better understanding of the clinical appearance of these lesions correlated with their major histologic and clinical differential diagnoses Features 103 new diagnoses with an emphasis on rare but important diseases Provides practical and accessible clinical references for many lesions not often seen or taught outside of a specific clinical rotation in dermatology or dermatopathology Includes two brand new sections on spirochetal diseases and disorders of pigmentation
The science of the virus and its effects and the clinical approaches to its treatment and transmission prevention are placed in the context of the history and epidemiology of the HIV-AIDS pandemic. Each organ system of the body is explored as to manifestations of the disease, treatment now and in the future, as well as what the disease has taught us about the immune response. The science of epidemiology, which is so important in allowing for tracking of the disease and potential limitation of transmission, is another aspect of AIDS explored in detail. The pandemic manifests differently in different parts of the world, and the relevance of the volume is enhanced by its international group of contributors. No other text provides the historical and epidemiological context of this disease along with an update of diagnosis and treatment. The underlying science and epidemiology of AIDS are not neglected, so the student or clinician who is treating patients with AIDS can gain a full understanding of HIV/AIDS in individual patients and in their communities.
First Published in 1994. Discourse, Power and Justice is a distinctive and theoretically informed empirical study of the administration of the Scottish prison system. It is based on extensive research and combines theoretical innovation with detailed empirical evidence. The book is located at the confluence of two academic traditions and their associated literatures, socio-legal studies and the sociology of knowledge, which are combined to produce a novel theoretical framework. The authors focus on the activities of those who manage the prison system. They identify the most important social actors in the prison system, located both historically and comparatively, and examine their characteristic forms of discourse. A number of crucial areas of decision-making are analysed in depth, including decisions about the initial classification of prisoners, transfers between establishments and the allocation of prisoners to different forms of work. Another major focus is on the different forms and mechanisms of accountability, and the book concludes with an analysis of recent policy changes. Discourse, Power and Justice will be essential reading for both students and practitioners in sociology, social policy, criminology and law.
Used by professionals to create 2D and 3D technical drawings, AutoCAD has been installed by millions of people around the world. This guide teaches you the power and potential of AutoCAD and AutoCAD LT through the use of concise explanations, focused examples, step-by-step instructions, and hands-on projects.
The landmark text that has served generations of obstetrician-gynecologists—fully updated with the most current perspectives of the field A Doody's Core Title for 2023! Williams Obstetrics has defined the discipline for generations of obstetrician-gynecologists. Written by authors from the nationally renowned University of Texas Southwestern Medical Center and Parkland Hospital, the new edition of this authoritative, evidence-based work maintains its trademark comprehensive coverage and applicability at the bedside, while offering the most current information and insights. The culmination of a century of clinical thought, Williams Obstetrics, 26th Edition delivers expert coverage of obstetrical complications, such as preterm labor, pregnancy-related hypertension, infection, and hemorrhage. It additionally offers foundational content on reproductive anatomy, physiology, and prenatal care. The authors have enhanced this edition with 1,000+ full-color illustrations, plus an increased emphasis on the fast-growing subspecialty of Maternal-Fetal Medicine. No other text matches the long-established scientific rigor and accessibility of Williams Obstetrics. With its state-of-the-art design and review of the newest advances and protocols, this not-be-missed clinical companion brings positive outcomes within reach. New and updated content includes: Increased focus on Maternal-Fetal Medicine Greater coverage of hypertension and hemorrhage Deeper insights into in-utero complications Expanded fetal t section includes cutting-edge fetal imaging, genetics, prenatal diagnosis, and fetal disorders and therapy Basic science, physiology of labor, preterm labor updated with contemporaneous publications in the literature More obstetrical sonography figures Eye-catching illustrations, including updated graphs, sonograms, MRIs, photographs, and photomicrographs
In this powerful memoir about three generations of New York City policemen, Brian McDonald chronicles a hundred years of dedication, disillusion, heroism, and tragedy behind the blue wall of silence that separates a cop from the rest of the world. His grandfather, Thomas Skelly, entered the department in 1893, when the NYPD was little more than a brutal gang of organized enforcers and Tammany Hall a corrupt political machine that could make or break an honest cop's career. His father Frank's career would span World War II through the 1960s, taking him from street cop to squad commander of the Forty-first Precinct. Better known as "Fort Apache", it was a place from which few cops emerged whole. His brother Frank McDonald, Jr., went on to become a decorated officer, waging an undercover war on drugs and crime. From turn-of-the-century Brooklyn to the South Bronx in the 1970s to the bedroom communities of upstate New York, My Father's Gun combines a rare and intimate family story with turbulent social history.
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