Discover the remarkable story of an orphaned Black boy who grew up to become the groundbreaking architect to the stars, Paul R. Williams. A stunning nonfiction picture-book biography from the Caldecott Honor–winning author and NAACP Image Award–nominated artist. As an orphaned Black boy growing up in America in the early 1900s, Paul R. Williams became obsessed by the concept of "home." He not only dreamed of building his own home, he turned his dreams into drawings. Defying the odds and breaking down the wall of racism, Williams was able to curve around the obstacles in his way to become a world-renowned architect. He designed homes for the biggest celebrities of the day, such as Frank Sinatra and Lucille Ball, and created a number of buildings in Los Angeles that are now considered landmarks. From Andrea J. Loney, the author of the Caldecott Honor Book Double Bass Blues, and award-winning artist Keith Mallett comes a remarkable story of fortitude, hope, and positivity.
``Mean curvature flow'' is a term that is used to describe the evolution of a hypersurface whose normal velocity is given by the mean curvature. In the simplest case of a convex closed curve on the plane, the properties of the mean curvature flow are described by Gage-Hamilton's theorem. This theorem states that under the mean curvature flow, the curve collapses to a point, and if the flow is diluted so that the enclosed area equals $\pi$, the curve tends to the unit circle. In thisbook, the author gives a comprehensive account of fundamental results on singularities and the asymptotic behavior of mean curvature flows in higher dimensions. Among other topics, he considers in detail Huisken's theorem (a generalization of Gage-Hamilton's theorem to higher dimension), evolutionof non-convex curves and hypersurfaces, and the classification of singularities of the mean curvature flow. Because of the importance of the mean curvature flow and its numerous applications in differential geometry and partial differential equations, as well as in engineering, chemistry, and biology, this book can be useful to graduate students and researchers working in these areas. The book would also make a nice supplementary text for an advanced course in differential geometry.Prerequisites include basic differential geometry, partial differential equations, and related applications.
In image processing, "motions by curvature" provide an efficient way to smooth curves representing the boundaries of objects. In such a motion, each point of the curve moves, at any instant, with a normal velocity equal to a function of the curvature at this point. This book is a rigorous and self-contained exposition of the techniques of "motion by curvature". The approach is axiomatic and formulated in terms of geometric invariance with respect to the position of the observer. This is translated into mathematical terms, and the author develops the approach of Olver, Sapiro and Tannenbaum, which classifies all curve evolution equations. He then draws a complete parallel with another axiomatic approach using level-set methods: this leads to generalized curvature motions. Finally, novel, and very accurate, numerical schemes are proposed allowing one to compute the solution of highly degenerate evolution equations in a completely invariant way. The convergence of this scheme is also proved.
Extrinsic geometric flows are characterized by a submanifold evolving in an ambient space with velocity determined by its extrinsic curvature. The goal of this book is to give an extensive introduction to a few of the most prominent extrinsic flows, namely, the curve shortening flow, the mean curvature flow, the Gauß curvature flow, the inverse-mean curvature flow, and fully nonlinear flows of mean curvature and inverse-mean curvature type. The authors highlight techniques and behaviors that frequently arise in the study of these (and other) flows. To illustrate the broad applicability of the techniques developed, they also consider general classes of fully nonlinear curvature flows. The book is written at the level of a graduate student who has had a basic course in differential geometry and has some familiarity with partial differential equations. It is intended also to be useful as a reference for specialists. In general, the authors provide detailed proofs, although for some more specialized results they may only present the main ideas; in such cases, they provide references for complete proofs. A brief survey of additional topics, with extensive references, can be found in the notes and commentary at the end of each chapter.
Respiratory Care: Patient Assessment and Care Plan Development, Second Edition describes the purpose of patient assessment and then guides the reader through the process of reviewing existing data in the medical record
Learn everything you need to safely and compassionately care for patients requiring ventilator support with Pilbeam's Mechanical Ventilation: Physiological and Clinical Applications, 6th Edition. Known for its simple explanations and in-depth coverage of patient-ventilator management, this evidence-based text walks readers through the most fundamental and advanced concepts surrounding mechanical ventilation and guides them in properly applying these principles to patient care. This new edition features a completely revised chapter on ventilator graphics, additional case studies and clinical scenarios, plus all the reader-friendly features that promote critical thinking and clinical application - like key points, AARC clinical practice guidelines, and critical care concepts - that have helped make this text a household name among respiratory care professionals. UNIQUE! Chapter on ventilator associated pneumonia provides in-depth, comprehensive coverage of this challenging issue. Brief patient case studies list important assessment data and pose a critical thinking question to readers. Critical Care Concepts are presented in short questions to engage readers in applying knowledge to difficult concepts. Clinical scenarios cover patient presentation, assessment data, and treatment options to acquaint readers with different clinical situations. NBRC exam-style assessment questions at the end of each chapter offer practice for the certification exam. Key Point boxes highlight need-to-know information. Logical chapter sequence builds on previously learned concepts and information. Bulleted end-of-chapter summaries help readers to review and assess their comprehension. Excerpts of Clinical Practice Guidelines developed by the AARC (American Association for Respiratory Care) make it easy to access important information regarding indications/contraindications, hazards and complications, assessment of need, assessment of outcome, and monitoring. Chapter outlines show the big picture of each chapter's content. Glossary of mechanical ventilation terminology includes definitions to highlighted key terms in each chapter. NEW! Completely revised chapter on ventilator graphics offers a more practical explanation of ventilator graphics and what readers need to know when looking at abnormal graphics. NEW! Additional case studies and clinical scenarios cover real-life scenarios that highlight the current trends in pathologies in respiratory care.
