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Lie Sphere Geometry
Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds. It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere transformations. This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. Completely new material on isoparametric hypersurfaces in spheres and Dupin hypersurfaces with three and four principal curvatures is also included. The author surveys the known results in these fields and indicates directions for further research and wider application of the methods of Lie sphere geometry.
Cecil Essentials of Medicine
This text provides readable as well as comprehensive coverage of the essential elements required to conduct a biologically effective practice of internal medicine coupled with the compassionate approach that is indispensable to healing. This new edition offers a review of all current knowledge and advances - physiologic, biomedical, pathophysiological, clinical, diagnostic, and therapeutic.
Andreoli and Carpenter's Cecil Essentials of Medicine E-Book
Students, residents, and instructors swear by Andreoli and Carpenter’s Cecil Essentials of Medicine because it presents just the right amount of information, just the right way. Edited by the late Thomas E. Andreoli, MD as well as Ivor Benjamin, MD, Robert C. Griggs, MD, and Edward J. Wing, MD, it focuses on core principles and how they apply to patient care, covering everything you need to know to succeed on a medical rotation or residency. Masterful editing and a user-friendly full-color design make absorbing and retaining information as effortless as possible. New chapters on "Pre- and Post-Operative Care" and "Palliative Care," plus the integration of molecular biology and other new horizons in medicine, familiarize you with the most current clinical concepts. An expanded International Editorial Board provides increased input from respected practitioners worldwide. Excellent images and clinical photographs vividly illustrate the appearance and clinical features of disease. Masterful editing and a user-friendly full-color design make absorbing and retaining information as effortless as possible.
Tight and Taut Submanifolds
First published in 1997, this book contains six in-depth articles on various aspects of the field of tight and taut submanifolds and concludes with an extensive bibliography of the entire field. The book is dedicated to the memory of Nicolaas H. Kuiper; the first paper is an unfinished but insightful survey of the field of tight immersions and maps written by Kuiper himself. Other papers by leading researchers in the field treat topics such as the smooth and polyhedral portions of the theory of tight immersions, taut, Dupin and isoparametric submanifolds of Euclidean space, taut submanifolds of arbitrary complete Riemannian manifolds, and real hypersurfaces in complex space forms with special curvature properties. Taken together these articles provide a comprehensive survey of the field and point toward several directions for future research.
