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Uniquely, this book presents a coherent, concise and unified way of combining elements from two distinct “worlds,” functional analysis (FA) and partial differential equations (PDEs), and is intended for students who have a good background in real analysis. This text presents a smooth transition from FA to PDEs by analyzing in great detail the simple case of one-dimensional PDEs (i.e., ODEs), a more manageable approach for the beginner. Although there are many books on functional analysis and many on PDEs, this is the first to cover both of these closely connected topics. Moreover, the wealth of exercises and additional material presented, leads the reader to the frontier of research. This book has its roots in a celebrated course taught by the author for many years and is a completely revised, updated, and expanded English edition of the important “Analyse Fonctionnelle” (1983). Since the French book was first published, it has been translated into Spanish, Italian, Japanese, Korean, Romanian, Greek and Chinese. The English version is a welcome addition to this list. The first part of the text deals with abstract results in FA and operator theory. The second part is concerned with the study of spaces of functions (of one or more real variables) having specific differentiability properties, e.g., the celebrated Sobolev spaces, which lie at the heart of the modern theory of PDEs. The Sobolev spaces occur in a wide range of questions, both in pure and applied mathematics, appearing in linear and nonlinear PDEs which arise, for example, in differential geometry, harmonic analysis, engineering, mechanics, physics etc. and belong in the toolbox of any graduate student studying analysis.
Differential equations, Partial. --- Functional analysis. --- Sobolev spaces. --- Sobolev spaces --- Sobolev, Espaces de --- Partial differential equations: difference methods elliptic equations finite element methods hyperbolic equations method of lines parabolic equations (Numerical analysis) --- 681.3 *G18 Partial differential equations: difference methods elliptic equations finite element methods hyperbolic equations method of lines parabolic equations (Numerical analysis) --- Spaces, Sobolev --- Mathematics. --- Difference equations. --- Functional equations. --- Partial differential equations. --- Functional Analysis. --- Partial Differential Equations. --- Difference and Functional Equations. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Partial differential equations --- Equations, Functional --- Functional analysis --- Calculus of differences --- Differences, Calculus of --- Equations, Difference --- Math --- Science --- Differential equations, Partial --- 517.95 --- 517.98 --- 681.3*G18 --- Function spaces --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 517.95 Partial differential equations --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- Analytical spaces --- 681.3 *G18 --- Analyse fonctionnelle --- Equations aux dérivées partielles --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Differential equations, partial. --- Analyse fonctionnelle. --- Équations aux dérivées partielles. --- Sobolev, Espaces de.
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Moving mesh methods are an effective, mesh-adaptation-based approach for the numerical solution of mathematical models of physical phenomena. Currently there exist three main strategies for mesh adaptation, namely, to use mesh subdivision, local high order approximation (sometimes combined with mesh subdivision), and mesh movement. The latter type of adaptive mesh method has been less well studied, both computationally and theoretically. This book is about adaptive mesh generation and moving mesh methods for the numerical solution of time-dependent partial differential equations. It presents a general framework and theory for adaptive mesh generation and gives a comprehensive treatment of moving mesh methods and their basic components, along with their application for a number of nontrivial physical problems. Many explicit examples with computed figures illustrate the various methods and the effects of parameter choices for those methods. The partial differential equations considered are mainly parabolic (diffusion-dominated, rather than convection-dominated). The extensive bibliography provides an invaluable guide to the literature in this field. Each chapter contains useful exercises. Graduate students, researchers and practitioners working in this area will benefit from this book. Weizhang Huang is a Professor in the Department of Mathematics at the University of Kansas. Robert D. Russell is a Professor in the Department of Mathematics at Simon Fraser University.
519.63 --- 681.3*G18 --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.63 Numerical methods for solution of partial differential equations --- Numerical methods for solution of partial differential equations --- Delay differential equations. --- Differential equations. --- Electronic books. -- local. --- Delay differential equations --- Engineering & Applied Sciences --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Theory --- Calculus --- Applied Mathematics --- Numerical analysis --- Computer. Automation --- informatica --- numerieke analyse --- differentiaalvergelijkingen --- wiskunde --- Partial differential equations --- Mathematical Sciences --- Mathematics. --- Partial differential equations. --- Computer mathematics. --- Numerical analysis. --- Numerical Analysis. --- Computational Mathematics and Numerical Analysis. --- Partial Differential Equations. --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Math --- Science --- Delay equations (Differential equations) --- Delay functional differential equations --- Differential delay equations --- Differential equations --- Differential equations with lag --- Functional differential equations --- Retarded argument (Differential equations) --- Retarded differential equations --- Retarded functional differential equations --- Time-lag systems (Differential equations) --- Delay equations --- Retarded argument --- Time-lag equations --- 681.3 *G18 --- 517.91 Differential equations --- Computer science --- Differential equations, partial.
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Principles of Airway Management is the leading text on the essentials of airway management. First published in 1988 and now in its Fourth Edition, it remains the text of choice for clinicians and trainees across a range of specialties – anesthesiology, emergency medicine, critical care medicine, surgery, and acute care medicine – who confront the issue of airway management. Highlights: · Step-by-step guidance on airway management · More than 400 illustrations, tables, and boxes – many now in color! · New chapter on innovations in airway equipment · New chapter on extubation strategies · Major update on the pediatric airway · The latest on equipment, techniques, surgical approaches, and the Laryngeal Mask Airway · Comprehensive coverage of complications · Well referenced, with suggestions for additional reading · Thorough coverage of applied anatomy From the reviews of the Third Edition: “Airway texts tend to fall into one of two extremes: the oversimplified handbook... or the comprehensive text that can be overburdening to read. Principles of Airway Management is a superb bridge of these two worlds." --Anesthesia & Analgesia “Covers well the basic principles of airway management...I would definitely recommend it for Anaesthetic or Emergency Department Libraries." -- Anaesthesia + Intensive Care “A worthy reference for those in any specialty concerned with airway management. It is readable for the student as well as the senior practitioner... [it] should remain a valuable selection on a critical care or anesthesia reference shelf for years to come.” --Doody’s.
Logic and law --- Medicine. --- Anesthesiology. --- Emergency medicine. --- Critical care medicine. --- Pain medicine. --- Medicine & Public Health. --- Intensive / Critical Care Medicine. --- Emergency Medicine. --- Pain Medicine. --- Ordered algebraic structures --- Airway (Medicine) --- Respiration. --- Animal respiration --- Animals --- Breathing --- Ventilation (Physiology) --- Physiology --- Vital signs --- Aerobic exercises --- Breathing exercises --- Respiration --- Airway (Medicine). --- Airway Management --- Airway Obstruction --- Cardiopulmonary Resuscitation --- Lie algebras. --- Modules (Algebra). --- Representations of algebras. --- Respiratory Therapy. --- Trachea --- instrumentation. --- methods. --- therapy. --- Intubation. --- Finite element method. --- Navier-Stokes equations --- Viscous flow. --- Numerical solutions. --- Medicine --- Medicine, Emergency --- Critical care medicine --- Disaster medicine --- Medical emergencies --- Intensive care --- Intensive medicine --- Emergency medicine --- Intensive care units --- Anaesthesiology --- Surgery --- Lie, Algèbres de. --- Algiatry --- Finite element method --- Éléments finis, Méthode des --- Équations aux dérivées partielles --- Lie, Algèbres de --- Lie, Groupes de --- Représentations d'algèbres --- Lie, Algèbres de --- Représentations d'algèbres --- Représentations de groupes de Lie --- Éléments finis, Méthode des. --- Équations aux dérivées partielles --- Problèmes aux limites --- Numerical solutions of differential equations --- 532.516 --- 519.6 --- 681.3 *G18 --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 532.516 Classical theory of viscous liquids. Friction in lubricants --- Classical theory of viscous liquids. Friction in lubricants
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Principles of Airway Management is the leading text on the essentials of airway management. First published in 1988 and now in its Fourth Edition, it remains the text of choice for clinicians and trainees across a range of specialties - anesthesiology, emergency medicine, critical care medicine, surgery, and acute care medicine - who confront the issue of airway management. Highlights: · Step-by-step guidance on airway management · More than 400 illustrations, tables, and boxes - many now in color! · New chapter on innovations in airway equipment · New chapter on extubation strategies · Major update on the pediatric airway · The latest on equipment, techniques, surgical approaches, and the Laryngeal Mask Airway · Comprehensive coverage of complications · Well referenced, with suggestions for additional reading · Thorough coverage of applied anatomy From the reviews of the Third Edition: Airway texts tend to fall into one of two extremes: the oversimplified handbook... or the comprehensive text that can be overburdening to read. Principles of Airway Management is a superb bridge of these two worlds." --Anesthesia & Analgesia Covers well the basic principles of airway management...I would definitely recommend it for Anaesthetic or Emergency Department Libraries." -- Anaesthesia + Intensive Care A worthy reference for those in any specialty concerned with airway management. It is readable for the student as well as the senior practitioner... [it] should remain a valuable selection on a critical care or anesthesia reference shelf for years to come. --Doody's
Anesthesiology --- Pharmacology. Therapy --- Orthopaedics. Traumatology. Plastic surgery --- Human medicine --- farmacologie --- anesthesie --- spoedgevallen --- intensieve zorgen --- analgesie --- pijn --- Viscous flow --- Navier-Stokes equations --- Finite element method --- Ecoulement visqueux --- Navier-Stokes, Equations de --- Méthode des éléments finis --- Numerical solutions --- Solutions numériques --- EPUB-LIV-FT LIVMEDEC SPRINGER-B --- 532.516 --- 519.6 --- 681.3 *G18 --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- Computational mathematics. Numerical analysis. Computer programming --- 532.516 Classical theory of viscous liquids. Friction in lubricants --- Classical theory of viscous liquids. Friction in lubricants --- Airway (Medicine) --- Trachea --- Airway Management --- Airway Obstruction --- Cardiopulmonary Resuscitation --- Respiratory Therapy. --- Therapy, Inhalation --- Therapy, Respiratory --- Inhalation Therapy --- Inhalation Therapies --- Respiratory Therapies --- Therapies, Inhalation --- Therapies, Respiratory --- Administration, Inhalation --- Respiration --- Intubation --- instrumentation --- methods --- therapy --- Numerical solutions of differential equations --- Respiratory Therapy --- Éléments finis, Méthode des
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Bayesian statistical decision theory --- Inverse problems (Differential equations) --- Mathematical optimization --- 519.63 --- 519.65 --- 681.3*G17 --- Mathematical optimization. --- 517.9 --- 519.21 --- 681.3 *G18 --- 681.3*G3 --- Bayes' solution --- Bayesian analysis --- Statistical decision --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Differential equations --- Numerical methods for solution of partial differential equations --- Approximation. Interpolation --- Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- Probability theory. Stochastic processes --- Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis) --- Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- Bayesian statistical decision theory. --- Inverse problems (Differential equations). --- 517.9 Differential equations. Integral equations. Other functional equations. Finite differences. Calculus of variations. Functional analysis --- 519.21 Probability theory. Stochastic processes --- 681.3*G17 Ordinary differential equations: boundary value problems; convergence and stability; error analysis; initial value problems; multistep methods; single step methods; stiff equations (Numerical analysis) --- 519.65 Approximation. Interpolation --- 519.63 Numerical methods for solution of partial differential equations --- 681.3*G3 Probability and statistics: probabilistic algorithms (including Monte Carlo);random number generation; statistical computing; statistical software (Mathematics of computing) --- 681.3 *G18 Partial differential equations: difference methods; elliptic equations; finite element methods; hyperbolic equations; method of lines; parabolic equations (Numerical analysis)
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