الصفحة 8
الصفحة 8
Methods in Nonlinear Analysis
Nonlinear analysis has developed rapidly in the last three decades. Theories, techniques and results in many different branches of mathematics have been combined in solving nonlinear problems. This book collects and reorganizes up-to-date materials scattered throughout the literature from the methodology point of view, and presents them in a systematic way. It contains the basic theories and methods with many interesting problems in partial and ordinary differential equations, differential geometry and mathematical physics as applications.There are five chapters that cover linearization, fixed-point theorems based on compactness and convexity, topological degree theory, minimization and topological variational methods. Each chapter combines abstract, classical and applied analysis. Particular topics included are bifurcation, perturbation, gluing technique, transversality, Nash–Moser technique, Ky Fan's inequality and Nash equilibrium in game theory, setvalued mappings and differential equations with discontinuous nonlinear terms, multiple solutions in partial differential equations, direct method, quasiconvexity and relaxation, Young measure, compensation compactness method and Hardy space, concentration compactness and best constants, Ekeland variational principle, infinite-dimensional Morse theory, minimax method, index theory with group action, and Conley index theory.
Metal Catalysed Reactions in Ionic Liquids
Metal Catalysed Reactions in Ionic Liquids is the first non-edited book on the subject of metal catalysed reactions in ionic liquids and covers the literature from its origins until early 2005.The book begins with a general introduction to the field of biphasic/multiphasic catalysis and describes the synthesis, functionalisation and fundamental properties of ionic liquids relevant to catalysis.This book is an invaluable resource for all those working in catalysis, green chemistry, and advanced synthetic methods,
Messung von Ressourceneffizienz mit der ESSENZ-Methode : Integrierte Methode zur ganzheitlichen Bewertung = Measuring resource efficiency with the ESSENCE method : Integrated method for holistic evaluation
Develops a reliable method for evaluating the use of resources. This is necessary because the strong economic growth of the last decades has led to an intensive use of natural resources. With their increasing use, there are also additional burdens on the environment and restrictions on the availability of resources. For these reasons, efficient use of resources is required as an important contribution to sustainable development.
Mesoscale Analysis of Hydraulics
Presents a series of complicated hydraulic phenomena and related mechanism of high-speed flows in head-head dam. According to the basic hydraulic theory, detailed experiments and numerical simulations, microscopic scale analysis on cavitation bubbles, air bubbles, turbulent eddy vortices and sand grains are examined systemically. These investigations on microscopic fluid mechanics, including cavitation erosion, aeration protection, air–water flow, energy dissipation and river-bed scouring, allow a deep understanding of hydraulics in high-head dams. This book provides reference for designers and researchers in hydraulic engineering, environment engineering and fluid mechanics.
Meshless Methods in Solid Mechanics
The main objective of this book is to provide a textbook for graduate courses on the computational analysis of continuum and solid mechanics based on meshless (also known as mesh free) methods. It can also be used as a reference book for engineers and scientists who are exploring the physical world through computer simulations. Emphasis of this book is given to the understanding of the physical and mathematical characteristics of the procedures of computational solid mechanics. It naturally brings the essence, advantages and challenging problems of meshless methods into the picture. The subjects in this book cover the fundamentals of continuum mechanics, the integral formulation methods of continuum problems, the basic concepts of finite element methods, and the methodologies, formulations, procedures, and applications of various meshless methods. It also provides general and detailed procedures of meshless analysis on elastostatics, elastodynamics, non-local continuum mechanics and plasticity with a large number of numerical examples. Some basic and important mathematical methods are included in the Appendixes. For the readers who want to gain knowledge through hands-on experience, the meshless programs for elastostatics and elastodynamics are also introduced in the book and included in the disc.
Memories : Molecules and Circuits
This volume surveys the recent advances and provides an integrative view of molecular, cellular, and systems level mechanisms underlying cognitive processes in both animals and humans. Current state of the art and future avenues are discussed by distinguished scientists who provide not only an overview of the underlying neurobiology of cognitive processes from a basic science standpoint, but who also focus on clinical and therapeutic aspects surrounding impairments associated with disorders that affect cognition.
Meeting Basic Learning Needs in the Informal Sector : Integrating Education and Training for Decent Work, Empowerment and Citizenship
This anthology brings together basic facts and features about basic learning needs and skills of people working and living in the informal economy and presents case studies from different countries examining educational and training strategies for meeting these learning needs. It portrays the grave problems facing educational and training systems vis-á-vis informal sector workers, even as they look at holistic solutions that take into account principles of lifelong learning and innovations in informal, non-formal and formal adult learning, and show a growing awareness that education is a human right of fundamental significance to promoting decent work and humane living conditions.
Medical Retina
Although the treatment of retinal diseases remains one of the most challenging fields in ophthalmology, the standard of knowledge has improved substantially over the past few years. The insight into basic mechanisms of disease has been expanded and novel diagnostic and therapeutic strategies have been developed, bridging the gap between laboratory and clinical science.
Medical Pharmacology and Therapeutics
Provides all the information medical and healthcare students need throughout their degree programme and beyond, including for professional qualifications such as the PSA. This all-round textbook covers basic pharmacology through to drug prescribing in clinical contexts, covering the pathogenic mechanisms of disease; drug actions, side effects, and the therapeutic principles of drug use. It takes a helpful systems-based approach that orders information according to body systems and disease areas, rather than by drug class. Now in its sixth edition, the book has been fully updated to include latest scientific understanding of drug action and administration and current best practice in prescribing medications, informed by the latest national guidelines.
Medical Informatics : Knowledge Management and Data Mining in Biomedicine
Knowledge Management and Data Mining in Biomedicine covers the basic foundations of the area while extending the foundational material to include the recent leading-edge research in the field. The newer concepts, techniques, and practices of biomedical knowledge management and data mining are introduced and examined in detail. It is the research and applications in these areas that are raising the technical horizons and expanding the utility of informatics to an increasing number of biomedical professionals and researchers. These concepts and techniques are illustrated with detailed case studies.
Medical genetics and law : An international perspective
Essential resource to understanding the intersection of medical genetics and law. In a unique approach, it provides an overview on the biological principles of DNA basics and genetic inheritance linking the knowledge with the ethical and legal challenges presented by modern developments in genetics.
Mechanisms of Insulin Action
More than 18 million people in the United States have diabetes mellitus, and about 90% of these have the type 2 form of the disease. In addition, between 17 and 40 million people have insulin resistance, impaired glucose tolerance, or the cluster of abnormalities referred to variably as the metabolic syndrome, the dysmetabolic syndrome, syndrome X, or the insulin resistance syndrome. In all of these disorders, a central component of the pathophysiology is insulin resistance, i.e., reduced responsiveness to insulin in tissues such as muscle, fat and liver. Insulin resistance is also closely linked to other common health problems, including obesity, polycystic ovarian disease, hyperlipidemia, hypertension, and atherosclerosis. In this book, we will attempt to dissect the complexity of the molecular mechanisms of insulin action with a special emphasis on those features of the system that are subject to alteration in type 2 diabetes and other insulin resistant states. We explore insulin action at the most basic levels, through complex systems. The book will be appealing to basic and clinical scientists.
Mechanics of Structural Elements : Theory and Applications
The book systematically presents variational principles and methods of analysis for applied elasticity and structural mechanics. The variational approach is used consistently for both, constructing numerical procedures and deriving basic governing equations of applied mechanics of solids; it is the derivation of equations where this approach is most powerful and best grounded by mathematics. The book is oriented towards experts in civil engineering, researchers, developers of software for mechanical strength, stability, and oscillation analysis; it can be used by practical engineers who employ software tools to do their job and who want to know more about the theoretical background of the strength analysis. The book will be useful to senior and postgraduate students of engineering, to professors of structural analysis at civil or mechanical engineering departments of technical universities.
Mechanics of Elastic Structures with Inclined Members : Analysis of vibration, buckling and Bending of X-Braced Frames and Conical Shells
This monograph presents the mechanics of vibration, buckling and bending of elastic structures with inclined members such as x-braced high rise frames and conical shells. More than giving detailed derivations of basic equations.
Mechanics of Civil Engineering Structures
Presents the material needed by practicing engineers engaged in the design of civil engineering structures, and students of civil engineering. The book covers the fundamental principles of mechanics needed to understand the responses of structures to different types of load and provides the analytical and empirical tools for design. The title presents the mechanics of relevant structural elements—including columns, beams, frames, plates and shells—and the use of mechanical models for assessing design code application. Eleven chapters cover topics including stresses and strains; elastic beams and columns; inelastic and composite beams and columns; temperature and other kinematic loads; energy principles; stability and second-order effects for beams and columns; basics of vibration; indeterminate elastic-plastic structures; plates and shells.
Mechanical System Dynamics
This textbook gives a clear and thorough presentation of the fundamental principles of mechanical systems and their dynamics. It provides both the theory and applications of mechanical systems in an intermediate theoretical level, ranging from the basic concepts of mechanics, constraint and multibody systems over dynamics of hydraulic systems and power transmission systems to machine dynamics and robotics.
Mechanical Behavior of Materials : Fundamentals, Analysis, and Calculations
Provides a holistic understanding of mechanical behavior of materials, and enables critical thinking through mathematical modeling and problem solving.Each of the 15 chapters first introduces readers to the technologic importance of the topic and provides basic concepts with diagrammatic illustrations; and then its engineering analysis/mathematical modelling along with calculations are presented.
Meccanica delle strutture e Controllo attivo strutturale: Modellistica di edifici, ponti, camini, strutture speciali
The basic texts of Structural Engineering, present in the literature, mostly give introductory examples. This text, however, after having given the disciplinary foundations, goes further to guide the reader in the construction of advanced mathematical models ... It is an unprecedented "compromise" between basic theory text and advanced text for advanced-professionals and researchers. Furthermore, the presence in the volume of "synoptic panels" and software cards gives the reader the possibility of always having at hand the foundations of a complex discipline.
Measurement Uncertainties in Science and Technology
At the turn of the 19th century, Carl Friedrich Gauß founded error calculus by predicting the then unknown position of the planet Ceres. Ever since, error calculus has occupied a place at the heart of science. In this book, Grabe illustrates the breakdown of traditional error calculus in the face of modern measurement techniques. Revising Gauß’ error calculus ab initio, he treats random and unknown systematic errors on an equal footing from the outset. Furthermore, Grabe also proposes what may be called well defined measuring conditions, a prerequisite for defining confidence intervals that are consistent with basic statistical concepts. The resulting measurement uncertainties are as robust and reliable as required by modern-day science, engineering and technology.
Measure Theory and Probability Theory
The book can be used as a text for a two semester sequence of courses in measure theory and probability theory, with an option to include supplemental material on stochastic processes and special topics.Prerequisites are kept to the minimal level of an understanding of basic real analysis concepts such as limits, continuity, differentiability, Riemann integration, and convergence of sequences and series. A review of this material is included in the appendix. The book starts with an informal introduction that provides some heuristics into the abstract concepts of measure and integration theory, which are then rigorously developed. The first part of the book can be used for a standard real analysis course for both mathematics and statistics Ph.D. students as it provides full coverage of topics such as the construction of Lebesgue-Stieltjes measures on real line and Euclidean spaces, the basic convergence theorems, L^p spaces, signed measures, Radon-Nikodym theorem, Lebesgue's decomposition theorem and the fundamental theorem of Lebesgue integration on R, product spaces and product measures, and Fubini-Tonelli theorems. It also provides an elementary introduction to Banach and Hilbert spaces, convolutions, Fourier series and Fourier and Plancherel transforms.
