Newly updated accessible study covers parametric and non-parametric surfaces, isothermal parameters, Bernstein’s theorem, much more, including such recent developments as new work on Plateau’s problem and on isoperimetric inequalities. Clear, comprehensive examination provides profound insights into crucial area of pure mathematics. 1986 edition. Index.
Two-dimensional calculus is vital to the mastery of the broader field, and this text presents an extensive treatment. Advantages include the thorough integration of linear algebra and development of geometric intuition. 1986 edition.
This paper is devoted primarily to the study of properties of the Grassmannian of oriented 2-planes in [double-struck capital]R[superscript]n and to applications of these properties to understanding minimal surfaces in [double-struck capital]R[superscript]n via the generalized Gauss map. The extrinsic geometry of the Grassmannian, when considered as a submanifold of [double-struck capital]CP[superscript]n-2, is investigated, with special emphasis on the nature of the intersection of the Grassmannian with linear subspaces of [double-struck capital]CP[superscript]n-1. These results are the basis for a discussion of minimal surfaces that are degenerate in various ways; understanding the different types of degeneracy and their interrelations is a critical step toward obtaining a clear picture of the basic geometric properties of minimal surfaces in [double-struck capital]R[superscript]n.
In the bestselling literary tradition of Lewis Thomas's Lives of a Cell and James Watson's The Double Helix, Poetry of the Universe is a delightful and compelling narrative charting the evolution of mathematical ideas that have helped to illuminate the nature of the observable universe. In a richly anecdotal fashion, the book explores teh leaps of imagination and vision in mathematics that have helped pioneer our understanding of the world around us.
By 1940, immunological mechanisms had been proved to have fundamental influ ences on a great number and variety of skin reactions, and skin diseases had brought to light a great number of fundamental immunological mechanisms that were basic to a wide range of different diseases, dermatological and nondermato logical. The preeminence of dermatological research in the advancement of immu nological knowledge should not astonish anyone. For the skin is not only the most easily accessible tissue for producing and studying immunological reactions, it is also the great organ of protection that meets the first onslaughts of inimical environmental forces and agents-potential enemies, both living and dead. And protection is in essence what immunology is all about. To get an idea of the long-established role that testing the skin and the study of its many reactions has played in advancing general immunology, one need recall only smallpox vaccination; tuberculin testing; testing with fungal extracts; skin testing in hay fever, asthma, and serum sickness; skin tests with toxins and toxoids; the patch test; the passive transfer of skin-adhering antibodies (reagins); skin sensitization by simple chemicals; and similar dermatological procedures that have exerted their influence on medical and scientific disciplines far beyond dermatology.
The first of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Part 1 begins with a problem list by S.T. Yau, successor to his 1980 list ( Sem
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.
A Celebration of Representation Theory and Harmonic Analysis : an AMS Special Session Honoring the Memory of Harish-Chandra, January 9-10, 1998, Baltimore, Maryland
A Celebration of Representation Theory and Harmonic Analysis : an AMS Special Session Honoring the Memory of Harish-Chandra, January 9-10, 1998, Baltimore, Maryland
Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, "Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of Harish-Chandra", which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers. The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew Harish-Chandra well. Also reprinted are two articles entitled, "Some Recollections of Harish-Chandra", by A. Borel, and "Harish-Chandra's c-Function: A Mathematical Jewel", by S. Helgason. In addition, an expository paper, "An Elementary Introduction to Harish-Chandra's Work", gives an overview of some of his most basic mathematical ideas with references for further study. This volume offers a comprehensive retrospective of Harish-Chandra's professional life and work. Personal recollections give the book particular significance. Readers should have an advanced-level background in the representation theory of Lie groups and harmonic analysis.
Clinical Anesthesia, Seventh Edition covers the full spectrum of clinical options, providing insightful coverage of pharmacology, physiology, co-existing diseases, and surgical procedures. This classic book is unmatched for its clarity and depth of coverage. *This version does not support the video and update content that is included with the print edition. Key Features: • Formatted to comply with Kindle specifications for easy reading • Comprehensive and heavily illustrated • Full color throughout • Key Points begin each chapter and are labeled throughout the chapter where they are discussed at length • Key References are highlighted • Written and edited by acknowledged leaders in the field • New chapter on Anesthesia for Laparoscopic and Robotic Surgery Whether you’re brushing up on the basics, or preparing for a complicated case, the digital version will let you take the content wherever you go.
Plasma cell dyscrasias are common causes of peripheral neuropathy. Peri pheral neuropathy may be the first manifestation of multiple myeloma, amyloidosis, or monoclonal gammopathy of undetermined significance (MGUS). Peripheral neuropathy occurs in more than one-half of patients with osteosclerotic myeloma. The hematologic disorders are such an important association with peripheral polyneuropathy that, for the last decade, we have obtained a metastatic bone survey and immunoelectrophoresis of serum and a 24-hour urine specimen on all patients older than 40 years with undiagnosed peripheral neuropathy. This textbook on polyneuropathies and plasma cell dyscrasia is welcome, because the subject is of considerable medical importance and because the authors are expert in these disorders. Kelly's studies have shown that a systematic search for monoclonal proteins in plasma and urine among patients with neuropathy of unknown cause increases diagnostic yield. Latov's studies have focused on the role of myelin associated glycoproteins (MAG) in the induction of neuropathy. Kyle, director of the Special Protein Laboratory at Mayo Clinic, brings a broad clinical and laboratory perspective and experi ence. The timing of the textbook is just right, because there is much new information which needs to be summarized.
This text provides a comprehensive review of paraneoplastic syndromes from considering both clinical and pathophysiologic aspects. The book provides an overview, classifying the disorders, describes a clinical approach to the diagnosis and treatment of paraneoplastic syndromes in general, and much more.
Proceedings in Memory of Robert Brooks, December 29, 2003-January 2, 2004 [and] January 5-9, 2004, Technion-Israel Institute of Technology, Haifa, Israel
Proceedings in Memory of Robert Brooks, December 29, 2003-January 2, 2004 [and] January 5-9, 2004, Technion-Israel Institute of Technology, Haifa, Israel
This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa). Robert Brooks' (1952 - 2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and numbertheory. A survey of Brooks' work has been written by his close colleague, Peter Buser. Also included in the volume are articles on analytic topics, such as Szego's theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate studentsand researchers interested in various aspects of geometry and global analysis.
Concise text, designed for one-semester course, covers classical Maxwell-Boltzmann-Planck statistics and two quantum statistics. Physical applications. Useful problems. 1971 edition.
The second of three parts comprising Volume 54, the proceedings of the Summer Research Institute on Differential Geometry, held at the University of California, Los Angeles, July 1990 (ISBN for the set is 0-8218-1493-1). Among the subjects of Part 2 are gauge theory, symplectic geometry, complex ge
This book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation. The connection between topology and electromagnetism has been known since the 19th century, but there has been little exposition of its relevance to computational methods in modern topological language. This book is an effort to close that gap. It will be of interest to people working in finite element methods for electromagnetic computation and those who have an interest in numerical and industrial applications of algebraic topology.
This authoritative text presents the classical theory of functions of a single complex variable in complete mathematical and historical detail. Requiring only minimal, undergraduate-level prerequisites, it covers the fundamental areas of the subject with depth, precision, and rigor. Standard and novel proofs are explored in unusual detail, and exercises – many with helpful hints – provide ample opportunities for practice and a deeper understanding of the material. In addition to the mathematical theory, the author also explores how key ideas in complex analysis have evolved over many centuries, allowing readers to acquire an extensive view of the subject’s development. Historical notes are incorporated throughout, and a bibliography containing more than 2,000 entries provides an exhaustive list of both important and overlooked works. Classical Analysis in the Complex Plane will be a definitive reference for both graduate students and experienced mathematicians alike, as well as an exemplary resource for anyone doing scholarly work in complex analysis. The author’s expansive knowledge of and passion for the material is evident on every page, as is his desire to impart a lasting appreciation for the subject. “I can honestly say that Robert Burckel’s book has profoundly influenced my view of the subject of complex analysis. It has given me a sense of the historical flow of ideas, and has acquainted me with byways and ancillary results that I never would have encountered in the ordinary course of my work. The care exercised in each of his proofs is a model of clarity in mathematical writing...Anyone in the field should have this book on [their bookshelves] as a resource and an inspiration.”- From the Foreword by Steven G. Krantz
The skin, uniquely positioned at the interface between the human body and the external world, plays a multifaceted role in the expression of cancer. Primary skin cancer is the most common cancer afflicting mankind and is rising in inci dence, despite the fact that it is often preventable. Besides primary cancer, the skin may show direct and indirect evidence of internal cancer, thus serving as a window to the body for both laymen and physicians alike. In addition, the acces sibility of the skin is useful for the study of carcinogenesis as well as cancer treat ment options. lowe much of my interest in skin cancer to Dr. Leon Goldman, the father of dermatologic laser surgery, and to Dr. Edmund Klein, the father of modern immunotherapy. We, at the Roswell Park Memorial Institute, were indeed for tunate to have a wealth of patients available for study. Many of the illustrations used in this book were of my patients at the Institute, and I kindly thank the fol lowing publications and their respective publishers for allowing me to reuse some of my photographs, most notably: Cancer Medicine (2nd edition), Journal of Surgical Oncology, Journal of the American Academy of Dermatology, Archives of Dermatology, Cancer, and Journal of Dermatologic Surgery and Oncology. We are very fortunate in this work to have some of the world's foremost authorities in their areas as contributors, such as Drs. Zackheim, Lambert, J.W. Trimble, J.R. Trimble, Jackson, Crutcher, Mashberg, Wick, Sidell, F. Helm, G.
Computer application techniques are applied to routine short-term forecasting and prediction in this classic of operations research. The text begins with a consideration of data sources and sampling intervals, progressing to discussions of time series models and probability models. An extensive overview of smoothing techniques surveys the mathematical techniques for periodically raising the estimates of coefficients in forecasting problems. Sections on forecasting and error measurement and analysis are followed by an exploration of alternatives and the applications of the forecast to specific problems, and a treatment of the handling of systems design problems ranges from observed data to decision rules. 1963 ed.
This volume is the outgrowth of a Special Session on Geometry, held at the November 1987 meeting of the AMS at the University of California at Los Angeles. The unusually well-attended session attracted more than sixty participants and featured over forty addresses by some of the day's outstanding geometers. By common consent, it was decided that the papers to be collected in the present volume should be surveys of relatively broad areas of geometry, rather than detailed presentations of new research results. A comprehensive survey of the field is beyond the scope of a volume such as this. Nonetheless, the editors have sought to provide all geometers, whatever their specialties, with some insight into recent developments in a variety of topics in this active area of research.
The original title for this work was “Mathematical Literacy, What Is It and Why You Need it”. The current title reflects that there can be no real learning in any subject, unless questions of who, what, when, where, why and how are raised in the minds of the learners. The book is not a mathematical text, and there are no assigned exercises or exams. It is written for reasonably intelligent and curious individuals, both those who value mathematics, aware of its many important applications and others who have been inappropriately exposed to mathematics, leading to indifference to the subject, fear and even loathing. These feelings are all consequences of meaningless presentations, drill, rote learning and being lost as the purpose of what is being studied. Mathematics education needs a radical reform. There is more than one way to accomplish this. Here the author presents his approach of wrapping mathematical ideas in a story. To learn one first must develop an interest in a problem and the curiosity to find how masters of mathematics have solved them. What is necessary to be mathematically literate? It’s not about solving algebraic equations or even making a geometric proof. These are valuable skills but not evidence of literacy. We often seek answers but learning to ask pertinent questions is the road to mathematical literacy. Here is the good news: new mathematical ideas have a way of finding applications. This is known as “the unreasonable effectiveness of mathematics.”
Long recognized as the leading text in this dynamic field, Rogers’ Textbook of Pediatric Intensive Care provides comprehensive, clear explanations of both the principles underlying pediatric critical care disease and trauma as well as how these principles are applied. Led by Drs. Donald H. Shaffner, John J. McCloskey, Elizabeth A. Hunt, and Robert C. Tasker, along with a team of 27 section editors as well as more than 250 expert global contributors, the fully revised Sixth Edition brings you completely up to date on today’s understanding, treatments, technologies, and outcomes regarding critical illness in children.
The Handbook of Clinical Anesthesia, Seventh Edition, closely parallels Clinical Anesthesia, Seventh Edition, and presents the essential information found in the larger text in a concise, portable format. Extensive changes made to the parent textbook are reflected in the Handbook; chapters have been completely updated and a new chapter covering anesthesia for laparoscopic and robotic surgeries has been added. The Handbook makes liberal use of tables and graphics to enhance rapid access to information. This comprehensive, pocket-sized reference guides you through virtually every aspect of perioperative, intraoperative, and postoperative patient care.
Clinical Anesthesia, Seventh Edition covers the full spectrum of clinical options, providing insightful coverage of pharmacology, physiology, co-existing diseases, and surgical procedures. This classic book is unmatched for its clarity and depth of coverage. *This version does not support the video and update content that is included with the print edition. Key Features: • Formatted to comply with Kindle specifications for easy reading • Comprehensive and heavily illustrated • Full color throughout • Key Points begin each chapter and are labeled throughout the chapter where they are discussed at length • Key References are highlighted • Written and edited by acknowledged leaders in the field • New chapter on Anesthesia for Laparoscopic and Robotic Surgery Whether you’re brushing up on the basics, or preparing for a complicated case, the digital version will let you take the content wherever you go.
Contains lecture notes from most of the courses presented at the 50th anniversary edition of the Seminaire de Mathematiques Superieure in Montreal. This 2011 summer school was devoted to the analysis and geometry of metric measure spaces, and featured much interplay between this subject and the emergent topic of optimal transportation.
Comprehensive in scope and thoroughly up to date, Wintrobe’s Clinical Hematology, 15th Edition, combines the biology and pathophysiology of hematology as well as the diagnosis and treatment of commonly encountered hematological disorders. Editor-in-chief Dr. Robert T. Means, Jr., along with a team of expert section editors and contributing authors, provide authoritative, in-depth information on the biology and pathophysiology of lymphomas, leukemias, platelet destruction, and other hematological disorders as well as the procedures for diagnosing and treating them. Packed with more than 1,500 tables and figures throughout, this trusted text is an indispensable reference for hematologists, oncologists, residents, nurse practitioners, and pathologists.
Publisher's Note: Products purchased from 3rd Party sellers are not guaranteed by the Publisher for quality, authenticity, or access to any online entitlements included with the product. This extensive title, which combines scientific principles with up-to-date clinical procedures, has been thoroughly updated for the fourteenth edition. You’ll find in-depth material on the biology and pathophysiology of lymphomas, leukemias, platelet destruction, and other hematological disorders as well as the procedures for diagnosing and treating them.
The premier single-volume reference in the field of anesthesia, Clinical Anesthesia is now in its Sixth Edition, with thoroughly updated coverage, a new full-color design, and a revamped art program featuring 880 full-color illustrations. More than 80 leading experts cover every aspect of contemporary perioperative medicine in one comprehensive, clinically focused, clear, concise, and accessible volume. Two new editors, Michael Cahalan, MD and M. Christine Stock, MD, join Drs. Barash, Cullen, and Stoelting for this edition. A companion Website will offer the fully searchable text, plus access to enhanced podcasts that can be viewed on your desktop or downloaded to most Apple and BlackBerry devices. This is the tablet version which does not include access to the supplemental content mentioned in the text.
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