Praise for the Second Edition "This book is an excellent introduction to the wide field of boundary value problems."—Journal of Engineering Mathematics "No doubt this textbook will be useful for both students and research workers."—Mathematical Reviews A new edition of the highly-acclaimed guide to boundary value problems, now featuring modern computational methods and approximation theory Green's Functions and Boundary Value Problems, Third Edition continues the tradition of the two prior editions by providing mathematical techniques for the use of differential and integral equations to tackle important problems in applied mathematics, the physical sciences, and engineering. This new edition presents mathematical concepts and quantitative tools that are essential for effective use of modern computational methods that play a key role in the practical solution of boundary value problems. With a careful blend of theory and applications, the authors successfully bridge the gap between real analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and numerical analysis to provide a comprehensive foundation for understanding and analyzing core mathematical and computational modeling problems. Thoroughly updated and revised to reflect recent developments, the book includes an extensive new chapter on the modern tools of computational mathematics for boundary value problems. The Third Edition features numerous new topics, including: Nonlinear analysis tools for Banach spaces Finite element and related discretizations Best and near-best approximation in Banach spaces Iterative methods for discretized equations Overview of Sobolev and Besov space linear Methods for nonlinear equations Applications to nonlinear elliptic equations In addition, various topics have been substantially expanded, and new material on weak derivatives and Sobolev spaces, the Hahn-Banach theorem, reflexive Banach spaces, the Banach Schauder and Banach-Steinhaus theorems, and the Lax-Milgram theorem has been incorporated into the book. New and revised exercises found throughout allow readers to develop their own problem-solving skills, and the updated bibliographies in each chapter provide an extensive resource for new and emerging research and applications. With its careful balance of mathematics and meaningful applications, Green's Functions and Boundary Value Problems, Third Edition is an excellent book for courses on applied analysis and boundary value problems in partial differential equations at the graduate level. It is also a valuable reference for mathematicians, physicists, engineers, and scientists who use applied mathematics in their everyday work.
The unique materials properties of GaN-based semiconductors havestimulated a great deal of interest in research and developmentregarding nitride materials growth and optoelectronic andnitride-based electronic devices. High electron mobility andsaturation velocity, high sheet carrier concentration atheterojunction interfaces, high breakdown field, and low thermalimpedance of GaN-based films grown over SiC or bulk AlN substratesmake nitride-based electronic devices very promising.
Covering preventive, non-invasive, and natural treatments, Textbook of Natural Medicine, 4th Edition offers more than just alternative medicine. It promotes an integrated practice that can utilize natural medicine, traditional Western medicine, or a combination of both in a comprehensive, scientific treatment plan. Based on a combination of philosophy and clinical studies, Textbook of Natural Medicine helps you provide health care that identifies and controls the underlying causes of disease, is supportive of the body's own healing processes, and is considerate of each patient's unique biochemistry. Internationally known authors Joseph Pizzorno and Michael Murray include detailed pharmacologic information on herbs and supplements, plus evidence-based coverage of diseases and conditions to help you make accurate diagnoses and provide effective therapy. Comprehensive, unique coverage makes this book the gold standard in natural medicine. A scientific presentation includes the science behind concepts and treatments, and discusses Western medical treatments and how they can work with natural medicine in a comprehensive treatment plan; if natural medicine is not effective, this book recommends the Western treatment. Coverage of pharmacology of natural medicines includes the uses and potential dangers of nearly 80 herbal medicines, special nutrients, and other natural agents, addressing topics such as general information, chemical composition, history, pharmacology, clinical applications dosage, and toxicology. In-depth, evidence-based coverage of 73 diseases and conditions includes key diagnostic criteria, pathophysiology of diseases, and therapeutic rationales. Coverage of potential interactions between drugs, herbs, and supplements ensures the safest possible use for each of 79 herbs and supplements. Diagnostic procedures include practical, easy-to-follow descriptions of evidence-based techniques plus discussions of clinical application of diet analysis, food allergy testing, immune function assessment, fatty acid profiling, hair mineral analysis, and other diagnostic approaches. Common therapeutic modalities are described and reviewed, including botanical medicine, nutritional therapy, therapeutic fasting, exercise therapy, hydrotherapy, counseling, acupuncture, homeopathy, and soft tissue manipulation. Coverage of syndromes and therapies helps in understanding the underlying causes of diseases by discussing topics such as food reactions, functional toxicology, sports nutrition, stress management, and breathing pattern disorders. Coverage of the philosophy of natural medicine includes its history and background, with discussions of toxicity, detoxification, and scientific documentation of the healing actions of nature and natural substances. Internationally known authors Joseph Pizzorno and Michael Murray and more than 90 expert contributors provide material that is up to date, accurate, and informed. More than 10,000 research literature citations show that the content is based on science rather than opinions or anecdotes. 13 useful appendices offer quick lookup of frequently used charts, handouts, and information. New chapters are included on hot topics such as female infertility, medicinal mushrooms, natural products and quality control, pregnancy health and primary prevention, and Vitamin K; new appendices include a supplier certification questionnaire and cervical escharotics treatment. Thorough updates ensure that you use only the most current research and provide the most effective treatment of patients. Tabs in Specific Health Problems section separate more than 70 alphabetized diseases/conditions. One convenient volume replaces the cumbersome two-volume set for easy, convenient reference. Electronic access is available via Pageburst, making it easy to search topics, drugs, herbs and supplements, and diseases and conditions. Sold separately.
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