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Combinatorial and Additive Number Theory
This proceedings volume is based on papers presented at the Workshops on Combinatorial and Additive Number Theory (CANT), which were held at the Graduate Center of the City University of New York in 2011 and 2012. The goal of the workshops is to survey recent progress in combinatorial number theory and related parts of mathematics. The workshop attracts researchers and students who discuss the state-of-the-art, open problems and future challenges in number theory.
The Collected Works of J. Richard Büchi
J. Richard Biichi is well known for his work in mathematical logic and theoretical computer science. (He himself would have sharply objected to the qualifier "theoretical," because he more or less identified science and theory, using "theory" in a broader sense and "science" in a narrower sense than usual.) We are happy to present here this collection of his papers. I (DS)1 worked with Biichi for many years, on and off, ever since I did my Ph.D. thesis on his Sequential Calculus. His way was to travel locally, not globally: When we met we would try some specific problem, but rarely dis cussed research we had done or might do. After he died in April 1984 I sifted through the manuscripts and notes left behind and was dumbfounded to see what areas he had been in. Essentially I knew about his work in finite au tomata, monadic second-order theories, and computability. But here were at least four layers on his writing desk, and evidently he had been working on them all in parallel. I am sure that many people who knew Biichi would tell an analogous story.
Perspectives on the History of Mathematical Logic
This volume offers insights into the development of mathematical logic over the last century. Arising from a special session of the history of logic at an American Mathematical Society meeting, the chapters explore technical innovations, the philosophical consequences of work during the period, and the historical and social context in which the logicians worked. The discussions herein will appeal to mathematical logicians and historians of mathematics, as well as philosophers and historians of science.
Medicine Meets Virtual Reality 21
This book presents the proceedings of the 21st NextMed/MMVR conference, held in Manhattan Beach, California, in February 2014. These papers describe recent developments in medical simulation, modeling, visualization, imaging, haptics, robotics, sensors, interfaces, and other IT-enabled technologies that benefit healthcare. The wide range of applications includes simulation for medical education and surgical training, information-guided therapies, mental and physical rehabilitation tools, and intelligence networks. Since 1992, Nextmed/MMVR has engaged the problem-solving abilities of scientists, engineers, clinicians, educators, the military, students, and healthcare futurists. Its multidisciplinary participation offers a fresh perspective on how to make patient care and medical education more precise and effective.
Medicine Meets Virtual Reality 13
Magical describes conditions that are outside our understanding of cause and effect. Even in modern societies, magic-based explanations are powerful because, given the complexity of the universe, there are so many opportunities to use them. The history of medicine is defined by progress in understanding the human body - from magical explanations to measurable results. To continue medical progress, physicians and scientists must openly question traditional models. For thirteen years, MMVR has been an incubator for technologies that create new medical understanding via the simulation, visualization, and extension of reality. Researchers create imaginary patients because they offer a more reliable and controllable experience to the novice surgeon. With imaging tools, reality is purposefully distorted to reveal to the clinician what the eye alone cannot see. Robotics and intelligence networks allow the healer's sight, hearing, touch, and judgment to be extended across distance, as if by magic. The moments when scientific truth is suddenly revealed after lengthy observation, experimentation, and measurement is the real magic. These moments are not miraculous, however. book.
A First Course in the Calculus of Variations
This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields. The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics. Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.
Medicine Meets Virtual Reality 19
A physician who is treating a patient confronts a complex and incompletely understood living system that is sensitive to pain. An engineer or programmer who develops a new device, on the other hand, operates within the less emotional domains of materials and mathematics. The Medicine Meets Virtual Reality (MMVR) conference brings together physicians, scientists, engineers, educators, students, and others to bridge the gap between clinicians and technologists, and to create collaborative solutions to healthcare challenges. This book presents the proceedings of the Medicine Meets Virtual Reality conference (MMVR19), held in Newport Beach, California, USA, in February 2012. It includes papers on modeling and simulation, imaging, data visualization and fusion, haptics, robotics, telemedicine and medical intelligence networking, virtual and augmented reality, psychotherapy and physical rehabilitation tools, serious games, and other topics. MMVR stimulates interaction between developers and end users and promotes unorthodox problem-solving as a complement to rigorous scientific methodology. This book will interest all who are involved with the future of medicine. close
Medicine Meets Virtual Reality 17
The 17th annual Medicine Meets Virtual Reality (MMVR17) was held January 19-22, 2009, in Long Beach, CA, USA. The conference is well established as a forum for emerging data-centered technologies for medical care and education. This proceedings volume is of interest to physicians, surgeons and other medical professionals.
Medicine Meets Virtual Reality 14
Machine intelligence will eclipse human intelligence within the next few decades - extrapolating from Moore’s Law - and our world will enjoy limitless computational power and ubiquitous data networks. Today’s iPod® devices portend an era when biology and information technology will fuse to create a human experience radically different from our own. Already, our healthcare system now appears on the verge of crisis; accelerating change is part of the problem. Each technological upgrade demands an investment of education and money, and a costly infrastructure more quickly becomes obsolete. Practitioners can be overloaded with complexity: therapeutic options, outcomes data, procedural codin...
