This text surveys practical elements of real function theory, general topology, and functional analysis. Discusses the maximality principle, the notion of convergence, the Lebesgue-Stieltjes integral, function spaces and harmonic analysis. Includes exercises. 1959 edition.
Many of the challenges of medical ethics today were nonexistent during the time when Hippocrates wrote his famous oath. In an increasingly complex world, many more new ethical issues will impact on the practice of medicine in the 21st century: quality care, growing patient demand, high technology, the definition of death, and controversies relating to the right to live and the right to die. In addition, there will be questions raised with regard to issues and practices such as research on embryos, genetic engineering, experiments on animals and clinical trials, and the problems of limited medical resources. These can lead to grave dilemmas, causing uncertainty and confusion in the medical profession.This book is based on the lectures and essays on medical ethics by a number of leading Singapore doctors. It records the thoughts of the leaders on medical ethics, and discusses a range of important and controversial issues. It will be a valuable reference for medical students as well as interesting and informative reading for both the professional and the lay reader.
This book provides new presentations of standard computational models that help avoid pitfalls of the conventional description methods. It also includes novel approaches to some of the topics that students normally find the most challenging. The presentations have evolved in response to student feedback over many years of teaching and have been well received by students. The book covers the topics suggested in the ACM curriculum guidelines for the course on “Theory of Computation”, and in the course on “Foundations of Computing” in the model liberal arts curriculum. These are standard courses for upper level computer science majors and beginning graduate students. The material in this area of computing is intellectually deep, and students invariably find it challenging to master. This book blends the three key ingredients for successful mastery. The first is its focus on the mingling of intuition and rigor that is required to fully understand the area. This is accomplished not only in the discussion and in examples, but also especially in the proofs. Second, a number of practical applications are presented to illustrate the capacity of the theoretical techniques to contribute insights in a variety of areas; such presentations greatly increase the reader's motivation to grasp the theoretical material. The student's active participation is the third and final major element in the learning process, and to this end an extensive collection of problems of widely differing difficulty is incorporated.
Many approximations are linear, that is, conform to the principle of super-position, and may profitably be studied by means of the theory of linear spaces. This book sets forth the pertinent parts of that theory, with particular attention to the key spaces $C_n, B, K$, and Hilbert space.
Suitable for trainees and practitioners in ob/gyn and radiology who seek to gain an understanding of diagnostic ultrasound in gynecology and obstetrics. This title is presented in bulleted format that emphasizes key points regarding the clinical use of diagnostic ultrasound in gynecology and obstetrics. It also contains 800 ultrasound images.
I am unaware of any textbook which provides such comprehensive coverage of the field and doubt that this work will be surpassed in the foreseeable future, if ever!' From the foreword by Robert C. Moellering, Jr., M.D, Shields Warren-Mallinckrodt Professor of Medical Research, Harvard Medical School, USA Kucers' The Use of Antibiotics is the leading major reference work in this vast and rapidly developing field. More than doubled in length compared to the fifth edition, the sixth edition comprises 3000 pages over 2-volumes in order to cover all new and existing therapies, and emerging drugs not yet fully licensed. Concentrating on the treatment of infectious diseases, the content is divided into 4 sections: antibiotics, anti-fungal drugs, anti-parasitic drugs and anti-viral drugs, and is highly structured for ease of reference.Within each section, each chapter is structured to cover susceptibility, formulations and dosing (adult and paediatric), pharmacokinetics and pharmacodynamics, toxicity and drug distribution, detailed discussion regarding clinical uses, a feature unique to this title. Compiled by an expanded team of internationally renowned and respected editors, with a vast number of contributors spanning Europe, Africa, Asia, Australia, South America, the US and Canada, the sixth edition adopts a truly global approach. It will remain invaluable for anyone using antimicrobial agents in their clinical practice and provides in a systematic and concise manner all the information required when treating infections requiring antimicrobial therapy. Kucers' The Use of Antibiotics is available free to purchasers of the books as an electronic version on line or on your desktop: It provides access to the entire 2-volume print material It is fully searchable, so you can find the relevant information you need quickly Live references are linked to PubMed referring you to the latest journal material Customise the contents - you can highlight sections and make notes Comments can be shared with colleagues/tutors for discussion, teaching and learning The text can also be reflowed for ease of reading Text and illustrations copied will be automatically referenced to Kucers' The Use of Antibiotics
This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and Yang-Mills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anti-commute in the case of fer mions) at space-like separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields.
Just 10 years ago, ophthalmic research was almost unheard of in Singapore. With little money and no infrastructure, ophthalmologists and scientists expressed scant interest in research. Today, however, ophthalmic research in Singapore is at a high international level, as exemplified by the activities of the Singapore Eye Research Institute (SERI), which is capable of competing with and challenging the world's leading eye research centers. Indeed, the world-class research carried out at SERI has helped to extend Singapore's international reach as the country moves towards its goal of becoming a global city and a leading nation influencing developments across Asia and the world.This book summarizes a decade of hard work, dedication, and commitment by a handful of doctors and researchers in their efforts to establish SERI and ensure its success. In particular, the remarkable contributions of two of Singapore's ophthalmic pioneers, the late Associate Professor Chew Sek Jin and current Professor Donald Tan, are acknowledged. The book will inspire leaders of developing nations in visualizing how research can develop rapidly in their own country, and how support and facilities may materialize if they can gather a few dedicated, intelligent researchers.
This book is exclusively devoted to the tables of mathematical statistics. It catalogues a large selection of tables in the field of mathematical statistics, with a small selection of mathematical tables lying outside statistics but often used with statistical tables. Originally published in 1962. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.
Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieties in positive characteristic. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Suitable for advanced undergraduates and graduate students in engineering, this text introduces the concepts of plasma physics and magnetohydrodynamics from a physical viewpoint. The first section of the three-part treatment deals mainly with the properties of ionized gases in magnetic and electric fields, essentially following the microscopic viewpoint. An introduction surveys the concepts of ionized gases and plasmas, together with a variety of magnetohydrodynamic regimes. A review of electromagnetic field theory follows, including motion of an individual charged particle and derivations of drift motions and adiabatic invariants. Additional topics include kinetic theory, derivation of electrical conductivity, development of statistical mechanics, radiation from plasma, and plasma wave motion. Part II addresses the macroscopic motion of electrically conducting compressible fluids: magnetohydrodynamic approximations; description of macroscopic fluid motions; magnetohydrodynamic channel flow; methods of estimating channel-flow behavior; and treatment of magnetohydrodynamic boundary layers. Part III draws upon the material developed in previous sections to explore applications of magnetohydrodynamics. The text concludes with a series of problems that reinforce the teachings of all three parts.
In addition to expanding and clarifying a number of sections of the first edition, it generalizes the analysis that eliminates the noncausal pre-acceleration so that it applies to removing any pre-deceleration as well. It also introduces a robust power series solution to the equation of motion that produces an extremely accurate solution to problems such as the motion of electrons in uniform magnetic fields.
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