. . . the progress of physics will to a large extent depend on the progress of nonlinear mathe matics, of methods to solve nonlinear equations . . . and therefore we can learn by comparing different nonlinear problems. WERNER HEISENBERG I undertook to write this book for two reasons. First, I wanted to make easily available the basics of both the theory of hyperbolic conservation laws and the theory of systems of reaction-diffusion equations, including the generalized Morse theory as developed by C. Conley. These important subjects seem difficult to learn since the results are scattered throughout the research journals. 1 Second, I feel that there is a need to present the modern methods and ideas in these fields to a wider audience than just mathe maticians. Thus, the book has some rather sophisticated aspects to it, as well as certain textbook aspects. The latter serve to explain, somewhat, the reason that a book with the title Shock Waves and Reaction-Diffusion Equations has the first nine chapters devoted to linear partial differential equations. More precisely, I have found from my classroom experience that it is far easier to grasp the subtleties of nonlinear partial differential equations after one has an understanding of the basic notions in the linear theory. This book is divided into four main parts: linear theory, reaction diffusion equations, shock wave theory, and the Conley index, in that order. Thus, the text begins with a discussion of ill-posed problems.
The authors prove that the Einstein equations for a spherically symmetric spacetime in Standard Schwarzschild Coordinates (SSC) close to form a system of three ordinary differential equations for a family of self-similar expansion waves, and the critical ($k=0$) Friedmann universe associated with the pure radiation phase of the Standard Model of Cosmology is embedded as a single point in this family. Removing a scaling law and imposing regularity at the center, they prove that the family reduces to an implicitly defined one-parameter family of distinct spacetimes determined by the value of a new acceleration parameter $a$, such that $a=1$ corresponds to the Standard Model. The authors prove that all of the self-similar spacetimes in the family are distinct from the non-critical $k\neq0$ Friedmann spacetimes, thereby characterizing the critical $k=0$ Friedmann universe as the unique spacetime lying at the intersection of these two one-parameter families. They then present a mathematically rigorous analysis of solutions near the singular point at the center, deriving the expansion of solutions up to fourth order in the fractional distance to the Hubble Length. Finally, they use these rigorous estimates to calculate the exact leading order quadratic and cubic corrections to the redshift vs luminosity relation for an observer at the center.
This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The author is a well regarded expert in this area.
For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Oleinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered are L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T.-P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix are described; these general notions are useful in con structing travelling waves for systems of nonlinear equations. The final sec tion, Section IV, is devoted to the very recent results of C. Jones and R. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves. Their theory is general enough to be applica ble to many interesting reaction-diffusion systems.
This monograph presents a self contained mathematical treatment of the initial value problem for shock wave solutions of the Einstein equations in General Relativity. It has a clearly outlined goal: proving a certain local existence theorem. Concluding remarks are added and commentary is provided throughout. The author is a well regarded expert in this area.
The authors prove that the Einstein equations for a spherically symmetric spacetime in Standard Schwarzschild Coordinates (SSC) close to form a system of three ordinary differential equations for a family of self-similar expansion waves, and the critical ($k=0$) Friedmann universe associated with the pure radiation phase of the Standard Model of Cosmology is embedded as a single point in this family. Removing a scaling law and imposing regularity at the center, they prove that the family reduces to an implicitly defined one-parameter family of distinct spacetimes determined by the value of a new acceleration parameter $a$, such that $a=1$ corresponds to the Standard Model. The authors prove that all of the self-similar spacetimes in the family are distinct from the non-critical $k\neq0$ Friedmann spacetimes, thereby characterizing the critical $k=0$ Friedmann universe as the unique spacetime lying at the intersection of these two one-parameter families. They then present a mathematically rigorous analysis of solutions near the singular point at the center, deriving the expansion of solutions up to fourth order in the fractional distance to the Hubble Length. Finally, they use these rigorous estimates to calculate the exact leading order quadratic and cubic corrections to the redshift vs luminosity relation for an observer at the center.
Completely updated, the Fifth Edition of this standard-setting two-volume reference presents the most advanced diagnostic techniques and the latest information on all currently known disease entities. More than 90 preeminent surgical pathologists offer expert advice on the diagnostic evaluation of every type of specimen from every anatomic site. The Fifth Edition contains over 4,400 full-color photographs. This edition provides detailed coverage of the latest developments in the field, including new molecular and immunohistochemical markers for diagnosis and prognosis of neoplasia, improved classification systems for diagnosis and prognosis, the role of pathology in new diagnostic and therapeutic techniques, and the recognition of new entities or variants of entities. All full-color illustrations have been color-balanced to dramatically improve image quality.
A comprehensive, multidisciplinary resource for the entire radiation oncology team, Gunderson & Tepper’s Clinical Radiation Oncology, 5th Edition, thoroughly covers all aspects of this complex and dynamic field. Concise, templated chapters cover the basic biology of oncologic disease processes as well as updated treatment algorithms, the latest clinical guidelines, and state-of-the-art techniques and modalities. More than 1,000 images—detailed anatomy drawings, radiographic images, and more—provide outstanding visual support for every area of the text. Divides content into three distinct sections for quick access to information: Scientific Foundations, Techniques and Modalities, and Disease Sites. Disease Site chapters include overviews summarizing the most important issues and concluding discussions on controversies and problems. Features new and expanded content on molecular and cellular biology and its relevance in individualized treatment approaches, stereotactic radiation therapy, radiosurgery, proton therapy, biologic therapy, precision radiation therapy, targeted radiation, dosing guidelines for better quality of life and improved patient outcomes, and more. Includes new chapters on Radiation Physics: Particle Therapy, Interventional Radiology, Radiation Therapy in the Elderly, Palliative Care, Quality and Safety, and Immunotherapy with Radiotherapy. Provides guidance on single-modality and combined-modality approaches, as well as outcome data including disease control, survival, and treatment tolerance. Includes access to videos on Intraoperative Irradiation, Prostate Brachytherapy, Penile Brachytherapy, and Ocular Melanoma.
Over the last several decades there has been a renewed interest in finite field theory, partly as a result of important applications in a number of diverse areas such as electronic communications, coding theory, combinatorics, designs, finite geometries, cryptography, and other portions of discrete mathematics. In addition, a number of recent books have been devoted to the subject. Despite the resurgence in interest, it is not widely known that many results concerning finite fields have natural generalizations to abritrary algebraic extensions of finite fields. The purpose of this book is to describe these generalizations. After an introductory chapter surveying pertinent results about finite fields, the book describes the lattice structure of fields between the finite field $GF(q)$ and its algebraic closure $\Gamma (q)$. The authors introduce a notion, due to Steinitz, of an extended positive integer $N$ which includes each ordinary positive integer $n$ as a special case. With the aid of these Steinitz numbers, the algebraic extensions of $GF(q)$ are represented by symbols of the form $GF(q^N)$. When $N$ is an ordinary integer $n$, this notation agrees with the usual notation $GF(q^n)$ for a dimension $n$ extension of $GF(q)$. The authors then show that many of the finite field results concerning $GF(q^n)$ are also true for $GF(q^N)$. One chapter is devoted to giving explicit algorithms for computing in several of the infinite fields $GF(q^N)$ using the notion of an explicit basis for $GF(q^N)$ over $GF(q)$. Another chapter considers polynomials and polynomial-like functions on $GF(q^N)$ and contains a description of several classes of permutation polynomials, including the $q$-polynomials and the Dickson polynomials. Also included is a brief chapter describing two of many potential applications. Aimed at the level of a beginning graduate student or advanced undergraduate, this book could serve well as a supplementary text for a course in finite field theory.
Computational Fluid Mechanics: Selected Papers compiles papers on computational fluid dynamics written between 1967 and 1982. This book emphasizes the numerical solution of the equations of fluid mechanics in circumstances where the viscosity is small. The vortex and projection methods, numerical solution of problems in kinetic theory, combustion theory, and gas dynamics are also discussed. This publication elaborates that turbulence in fluids is dominated by the mechanics of vorticity, and many of the methods are based on vortex representations of the flow. The convergence of vortex calculations in three space dimensions and motion of vortex filaments are likewise deliberated. This compilation is a good source for physicists and students researching on computational fluid mechanics.
This issue of the Atlas of the Oral and Maxillofacial Surgery Clinics, edited by Dr. Joel J. Napeñas, focuses on Oral Manifestations of Systemic Diseases. Articles will feature Evaluation of the Patient; Oral Manifestations of Gastrointestinal Disorders; Oral Manifestations of Immunodeficiencies and Transplantation Medicine; Oral Manifestations of Autoimmune and Connective Tissue Disorders; Oral Manifestations of Drug-induced Disorders; Oral Manifestations of Neurologic Disorders; Oral Complications of Nonsurgicial Cancer Therapies; Oral Complications of Hematologic Disorders; Oral Complications of Systemic Viral Infections; Oral Complications of Allergies and Immunologically Mediated Diseases; Oral Complications of Multi-Organ Disorders; Oral Complications of Endocrine Disorders; Oral Complications of Systemic Bacterial and Fungal Infections; Dental and Periodontal Manifestations of Systemic Disease; Oral Complications of Dermatologic Disorders, and more!
Highly illustrated and easy to use, Dermatology in Pediatrics, by Drs. Donald Shenenberger, Bernard Cohen, Jonathan Glass, and Joel Spitz, is a practical, everyday reference not only for dermatologists and dermatology residents, but also for pediatricians, family medicine physicians, and other clinicians who care for children. For each dermatologic condition, you’ll find a two-page spread: on the left is concise, templated information on diagnosis and management; on the right are full-color illustrations and clinical photographs that provide real-world visual guidance. From cover to cover, an easy-to-navigate, open, and visually appealing layout speeds you to the information you need.
This issue of Primary Care: Clinics in Office Practice, guest edited by Drs. Vincent Morelli, Roger Zoorob, and Joel J. Heidelbaugh, is devoted to Primary Care of the Medically Underserved. This outstanding issue includes the following articles: Primary Care Issues in Rural Populations; Primary Care Issues in Inner City America and Internationally; Medical Care for Undocumented Immigrants: National and International Issues; Pediatric and Adolescent Issues in Underserved Populations; Women's Health issues in Underserved Populations; Geriatric Care Issues: American and International Perspectives; Medical Care of the Homeless: An American and International Issue; Cardiovascular Issues in the Underserved; Occupational Health and Sleep Issues in Underserved Populations; Infectious Diseases Issues in Underserved Populations; Cancer in the Underserved; Psychological Issues in Underserved Populations; Substance Abuse Issues Amongst the Underserved: American and International Perspectives; Diet and Obesity Issues in the Underserved; Exercise/Sports Medicine Issues in Underserved Populations; A Global Perspective on Climate Change and Health in Underserved Populations; and International Comparisons in Underserved Health: Issues, Policies, Needs and Projections.
Bart Goldstein was only sixteen when he suffered a traumatic brain injury (TBI) in a car accident in 2001. No Stone Unturned is the saga of Bart’s struggle to regain his life. Told from his father’s point of view, the book chronicles the family’s ordeal, and flashbacks fill in Bart’s life since he arrived from Korea at the age of five months. Considering every possibility in their search for remedies to Bart’s catastrophic injuries, the Goldsteins explored several promising alternatives, including craniosacral, hyperbaric oxygen, sensory learning, and vision restoration therapies. Bart’s remarkable recovery resulted from a combination of conventional medicine and alternative and emerging therapies. TBI has now become the "signature injury” for thousands of wounded warriors returning from Iraq and Afghanistan; this timely book offers profound insights into what survivors and their families must face. Anyone struggling with this "invisible” disability will find the book insightful, inspiring, and useful.
Synthesizing a wealth of recent neuropsychological research, this groundbreaking book focuses on the multiple pathways by which attention-deficit/hyperactivity disorder (ADHD) develops. Joel T. Nigg marshals the best available knowledge on what is actually going on in the symptomatic child's brain and why, tracing the intersecting causal influences of genetic, neural, and environmental factors. In the process, the book confronts such enduring controversies as the validity of ADHD as a clinical construct. Specific suggestions are provided for studies that might further refine the conceptualization of the disorder, with significant potential benefits for treatment and prevention.
Practical and clinically focused, Abeloff’s Clinical Oncology is a trusted medical reference book designed to capture the latest scientific discoveries and their implications for cancer diagnosis and management of cancer in the most accessible manner possible. Abeloff’s equips everyone involved - from radiologists and oncologists to surgeons and nurses - to collaborate effectively and provide the best possible cancer care. Consult this title on your favorite e-reader, conduct rapid searches, and adjust font sizes for optimal readability. Select the most appropriate tests and imaging studies for cancer diagnosis and staging of each type of cancer, and manage your patients in the most effective way possible by using all of the latest techniques and approaches in oncology. Enhance your understanding of complex concepts with a color art program that highlights key points and illustrates relevant scientific and clinical problems. Stay at the forefront of the latest developments in cancer pharmacology, oncology and healthcare policy, survivorship in cancer, and many other timely topics. See how the most recent cancer research applies to practice through an increased emphasis on the relevance of new scientific discoveries and modalities within disease chapters. Streamline clinical decision making with abundant new treatment and diagnostic algorithms as well as concrete management recommendations. Take advantage of the collective wisdom of preeminent multidisciplinary experts in the field of oncology, including previous Abeloff’s editors John E. Niederhuber, James O. Armitage, and Michael B. Kastan as well as new editors James H. Doroshow from the National Cancer Institute and Joel E. Tepper of Gunderson & Tepper: Clinical Radiation Oncology. Quickly and effortlessly access the key information you need with the help of an even more user-friendly, streamlined format. Access the complete contents anytime, anywhere at Expert Consult, and test your mastery of the latest knowledge with 500 online multiple-choice review questions.
Perfect for radiation oncology physicians and residents needing a multidisciplinary, treatment-focused resource, this updated edition continues to provide the latest knowledge in this consistently growing field. Not only will you broaden your understanding of the basic biology of disease processes, you'll also access updated treatment algorithms, information on techniques, and state-of-the-art modalities. The consistent and concise format provides just the right amount of information, making Clinical Radiation Oncology a welcome resource for use by the entire radiation oncology team. Content is templated and divided into three sections -- Scientific Foundations of Radiation Oncology, Techniques and Modalities, and Disease Sites - for quick access to information. Disease Sites chapters summarize the most important issues on the opening page and include a full-color format, liberal use of tables and figures, a closing section with a discussion of controversies and problems, and a treatment algorithm that reflects the treatment approach of the authors. Chapters have been edited for scientific accuracy, organization, format, and adequacy of outcome data (such as disease control, survival, and treatment tolerance). Allows you to examine the therapeutic management of specific disease sites based on single-modality and combined-modality approaches. Features an emphasis on providing workup and treatment algorithms for each major disease process, as well as the coverage of molecular biology and its relevance to individual diseases. Two new chapters provide an increased emphasis on stereotactic radiosurgery (SRS) and stereotactic body irradiation (SBRT). New Associate Editor, Dr. Andrea Ng, offers her unique perspectives to the Lymphoma and Hematologic Malignancies section. Key Points are summarized at the beginning of each disease-site chapter, mirroring the template headings and highlighting essential information and outcomes. Treatment algorithms and techniques, together with discussions of controversies and problems, reflect the treatment approaches employed by the authors. Disease Site Overviews allow each section editor to give a unique perspective on important issues, while online updates to Disease Site chapters ensure your knowledge is current. Disease Site chapters feature updated information on disease management and outcomes. Four videos accessible on Expert Consult include Intraoperative Irradiation, Prostate Brachytherapy, Penile Brachytherapy, and Ocular Melanoma. Thirty all-new anatomy drawings increase your visual understanding. Expert Consult eBook version included with purchase. This enhanced eBook experience allows you to search all of the text, figures, and references from the book on a variety of devices.
Easily accessible and clinically focused, Abeloff's Clinical Oncology, 6th Edition, covers recent advances in our understanding of the pathophysiology of cancer, cellular and molecular causes of cancer initiation and progression, new and emerging therapies, current trials, and much more. Masterfully authored by an international team of leading cancer experts, it offers clear, practical coverage of everything from basic science to multidisciplinary collaboration on diagnosis, staging, treatment and follow up. Includes new chapters on Cancer Metabolism and Clinical Trial Designs in Oncology and a standalone chapter on lifestyles and cancer prevention. Features extensive updates including the latest clinical practice guidelines, decision-making algorithms, and clinical trial implications, as well as new content on precision medicine, genetics, and PET/CT imaging. Includes revised diagnostic and treatment protocols for medical management, surgical considerations, and radiation oncology therapies, stressing a multispecialty, integrated approach to care. Helps you find information quickly with updated indexing related to management recommendations, focused fact summaries, updated key points at the beginning of each chapter ideal for quick reference and board review, and algorithms for patient evaluation, diagnosis, and treatment options. Offers more patient care coverage in disease chapters, plus new information on cancer as a chronic illness and cancer survivorship. Discusses today’s key topics such as immuno-oncology, functional imaging, precision medicine, the application of genetics in pathologic diagnosis and sub-categorization of tumors as well as the association of chronic infectious diseases such as HIV and cancer.
The most thorough text available on providing patients and families with quality end-of-life care "The study/learning questions at the end of each chapter make this book an excellent resource for both faculty who wish to test knowledge, and individual learners who wish to assess their own learning....The book is well written and easy to read. 3 Stars."--Doody's Review Service End of Life Care: A Practical Guide offers solution-oriented coverage of the real-world issues and challenges that arise daily for clinicians caring for those with life-limiting illnesses and conditions. End of Life Care: A Practical Guide includes specific clinical guidance for pain management and other common end of life symptoms. The second edition has been made even more essential with the addition of chapter-ending Q&A for self assessment and board review, new coverage of multicultural medicine, an increased number of algorithms to assist decision making on complicated clinical, legal, and ethical issues. Six sections walk you through the complexities of caring for patients who are nearing the end of life: Preparing Patients for End of Life Management of Symptoms Diagnostic and Invasive Interventions Ethical Dilemmas Special Populations Diversity No other text better assists physicians and other clinicians in providing patients near the end of life with support, guidance, and hope in the face of “hopelessness” than End of Life Care: A Practical Guide.
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