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Methods of nonlinear analysis : Applications to differential equations
In this book, fundamental methods of nonlinear analysis are introduced, discussed and illustrated in straightforward examples. Every method considered is motivated and explained in its general form, but presented in an abstract framework as comprehensively as possible. Applications and generalizations are shown. In particular, a large number of methods is applied to boundary value problems for partial differential equations.
Methods of Legal Reasoning
The book attempts to describe and criticize four methods used in legal practice, legal dogmatics and legal theory: logic, analysis, argumentation and hermeneutics. Apart from a presentation of basic ideas connected with the above mentioned methods, the essays contained in this book seek to answer questions concerning the assumptions standing behind these methods, the limits of using them and their usefulness in the practice and theory of law. A specific feature of the book is that in one study four different, sometimes competing concepts of legal method are discussed. The panorama, sketched like this, allows one to reflect deeply on the questions concerning the methodological conditioning of legal science and the existence of a unique, specific legal method. The authors argue that there exists no such method.
Methods of Celestial Mechanics: Vol. I: Physical, Mathematical, and Numerical Principles
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students in physics, mathematics and engineering as well as an excellent reference for practitioners. This Volume I gives a thorough treatment of celestial mechanics and presents all the necessary mathematical details that a professional would need. After a brief review of the history of celestial mechanics, the equations of motion (Newtonian and relativistic versions) are developed for planetary systems (N-body-problem), for artificial Earth satellites, and for extended bodies (which includes the problem of Earth and lunar rotation). Perturbation theory is outlined in an elementary way from generally known mathematical principles without making use of the advanced tools of analytical mechanics. The variational equations associated with orbital motion - of fundamental importance for parameter estimation (e.g., orbit determination), numerical error propagation, and stability considerations - are introduced and their properties discussed in considerable detail. Numerical methods, especially for orbit determination and orbit improvement, are discussed in considerable depth. The algorithms may be easily applied to objects of the planetary system and to Earth satellites and space debris.
Methods of Celestial Mechanics ; Vol. II : Application to Planetary System, Geodynamics and Satellite Geodesy
G. Beutler's Methods of Celestial Mechanics is a coherent textbook for students as well as an excellent reference for practitioners. Volume II is devoted to the applications and to the presentation of the program system CelestialMechanics. Three major areas of applications are covered: (1) Orbital and rotational motion of extended celestial bodies. The properties of the Earth-Moon system are developed from the simplest case (rigid bodies) to more general cases, including the rotation of an elastic Earth, the rotation of an Earth partly covered by oceans and surrounded by an atmosphere, and the rotation of an Earth composed of a liquid core and a rigid shell (Poincaré model). (2) Artificial Earth Satellites. The oblateness perturbation acting on a satellite and the exploitation of its properties in practice is discussed using simulation methods (CelestialMechanics) and (simplified) first order perturbation methods. The perturbations due to the higher-order terms of the Earth's gravitational potential and resonant perturbations are considered thereafter. Special attention is paid to satellites of the Global Navigation Satellite Systems and to geostationary satellites. The characteristics of and models for the two most important non-gravitational forces, atmospheric drag and radiation pressure, are presented as well as the most relevant forces acting on high- and low-orbiting satellites. (3) Evolution of the Planetary System. The outer planetary system consisting of the planets Jupiter to Pluto is studied over long time intervals using simulation methods and spectral analysis (CelestialMechanics). The properties of the inner systems, in particular of the Earth's orbit, are made visible by integrating the entire system over long time intervals relevant for climate change. The distribution of minor planets and their orbital properties, regular orbits, and chaotic orbits are easily generated and analyzed using CelestialMechanics. The volume concludes with the discussion of important mathematical tools of the program system and of the principles of spectral analysis.
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.
Methods in Modern Biophysics
Incorporating recent dramatic advances, this textbook presents a fresh and timely introduction to modern biophysical methods. An array of new, faster and higher-power biophysical methods now enables scientists to examine the mysteries of life at a molecular level. This innovative text surveys and explains the ten key biophysical methods, including those related to biophysical nanotechnology, scanning probe microscopy, X-ray crystallography, ion mobility spectrometry, mass spectrometry, proteomics, and protein folding and structure. Incorporating much information previously unavailable in tutorial form, Nölting employs worked examples and 267 illustrations to fully detail the techniques and their underlying mechanisms.
Methods in Gut microbial ecology for ruminants
As a result of various human activities, such as increase in human population,decrease in arable land due to soil degradation, urbanization, industrialization and associated increase in the demand for livestock products, dramatic changes are occurring in the global ruminant livestock sector. These changes includeshift inthesize of regional livestock populations and in the types of management and feeding systems under which ruminant livestock are held, and increased demand of a wider range of quality attributes from animal agriculture, not just of the products themselves but also of the methods used in their production. The livestock sector will need to respond to new challenges of increasing live stock productivity while protecting environment and human health and conservingbiodiversity and natural resources. The micro-organisms in the digestive tracts of ruminant livestock have a profound in?uence on the conversion offeedinto end products, which can impact on the- imal and theenvironment. As the livestock sector grows particularly in developing countries, there will be an increasing need to understand these processes for b- ter management and use ofbothfeed and other natural resources that underpinthe development of sustainable feeding systems.
Methods for measuring greenhouse Gas balances and evaluating mitigation options in smallholder agriculture
This book provides standards and guidelines for quantifying greenhouse gas emissions and removals in smallholder agricultural systems and comparing options for climate change mitigation based on emission reductions and livelihood trade-offs. Globally, agriculture is directly responsible for about 11% of annual greenhouse gas (GHG) emissions and induces an additional 17% through land use change, mostly in developing countries. Farms in the developing countries of sub-Saharan Africa and Asia are predominately managed by smallholders, with 80% of land holdings smaller than ten hectares. However, little to no information exists on greenhouse gas emissions and mitigation potentials in smallholder agriculture.
Methods for Constructing Exact Solutions of Partial Differential Equations: Mathematical and Analytical Techniques with Applications to Engineering
The book is primarily designed to present both fundamental theoretical and algorithmic aspects of these methods. The description of algorithms contains illustrative examples which are typically taken from continuum mechanics. Some sections of the book introduce new applications and extensions of these methods.
Methods for Analysing and Reporting EQ-5D Data
This book is the first published guide about how to analyse data produced by the EQ-5D, one of the most widely used Patient Reported Outcomes questionnaires world wide. The authors provide practical, clear and comprehensive guidance in five concise chapters.
Methods and Tools for Effective Knowledge Life-Cycle-Management
This book provides an understanding of what knowledge is and of why it is one of the most strategic issues in future manufacturing competitiveness, which will be based primarily on high-level technologies and innovative products.
Methods and Tools for Drought Analysis and Management
Implementation of effective drought management policies requires both advanced technologies and appropriate methods. Monitoring and forecasting systems, practical tools for risk assessment, as well as simple and objective criteria to select and implement appropriate drought mitigation measures are key elements for a successful drought management strategy.These key issues have been tackled by universities and public agencies involved in the EU projects Sedemed and Sedemed II (Programme Interreg IIIB MEDOCC), aimed at the definition of an integrated network for real time monitoring of drought, the development of common methodologies for drought analysis and forecasting, as well as the definition of proper mitigation strategies for the Mediterranean countries.The book presents the main outcomes of such projects with a special focus on: drought monitoring and forecasting echniques at different spatial scales; new or modified agrometeorological indices and remote sensing technique for drought identification and characterization; tools to improve surface water resources management under drought conditions; methods and tools for groundwater resources monitoring and management, based on hydrogeological and hydrodynamics characteristics of aquifers; general criteria to select and implement mitigation strategies to prevent or minimize drought impacts.
Methods and Tools for Collaborative Networked Organizations
Provides a comprehensive set of reference materials derived from the results of the ECOLEAD project in one organized volume. The ECOLEAD project, a large 4-year European initiative, involved 28 organizations (from academia, research and industry), from 14 countries (in Europe and Latin America).Three main types of results from ECOLEAD are presented: (i) Conceptual frameworks and models, (ii) Methods and processes, and (iii) Software tools and systems.
Methods and Models in Transport and Telecommunications : Cross Atlantic Perspectives
One aspect of the new economy is a transition to a networked society, and the emergence of a highly interconnected, interdependent and complex system of networks to move people, goods and information. An example of this is the in creasing reliance of networked systems (e. g. , air transportation networks, electric power grid, maritime transport, etc. ) on telecommunications and information in frastructure. Many of the networks that evolved today have an added complexity in that they have both a spatial structure , they are located in physical space but also an a spatial dimension brought on largely by their dependence on infor mation technology. They are also often just one component of a larger system of geographically integrated and overlapping networks operating at different spatial levels. An understanding of these complexities is imperative for the design of plans and policies that can be used to optimize the efficiency, performance and safety of transportation, telecommunications and other networked systems. In one sense, technological advances along with economic forces that encourage the clustering of activities in space to reduce transaction costs have led to more efficient network structures.
Methodology for the Digital Calibration of Analog Circuits and Systems : with Case Studies
Methodology for the Digital Calibration of Analog Circuits and Systems shows how to relax the extreme design constraints in analog circuits, allowing the realization of high-precision systems even with low-performance components. A complete methodology is proposed, and three applications are detailed.
Methodological Investigations in Agent-Based Modelling : With Applications for the Social Sciences
Examines the methodological complications of using complexity science concepts within the social science domain. The opening chapters take the reader on a tour through the development of simulation methodologies in the fields of artificial life and population biology, then demonstrates the growing popularity and relevance of these methods in the social sciences. Following an in-depth analysis of the potential impact of these methods on social science and social theory, the text provides substantive examples of the application of agent-based models in the field of demography. This work offers a unique combination of applied simulation work and substantive, in-depth philosophical analysis, and as such has potential appeal for specialist social scientists, complex systems scientists, and philosophers of science interested in the methodology of simulation and the practice of interdisciplinary computing research.
Méthodes Numériques : Algorithmes, analyse et applications = Numerical Methods : Algorithms, Analysis and Applications
This book aims to present the theoretical and methodological foundations of numerical analysis. Particular attention is paid to the concepts of stability, precision and complexity of algorithms. Modern methods relating to the following topics are presented and analyzed in detail: solving linear and nonlinear systems, polynomial approximation, optimization, numerical integration, orthogonal polynomials, rapid transformations, ordinary differential equations. The techniques presented are illustrated by numerous tables and figures. Many examples and counter-examples are offered to allow the reader to develop his critical sense.
Méthodes mathématiques en chimie quantique : Une introduction = Mathematical methods in quantum chemistry : An introduction
This book presents the mathematical foundations of several models of quantum chemistry. It is intended for graduate students in mathematics (and possibly also for scientists from physics or chemistry interested in understanding the formal underpinnings of their models), and introduces techniques and methods from several mathematical fields, in particular variational techniques, nonlinear analysis, spectral theory and partial differential equations theory.
Method validation in pharmaceutical analysis
Provides hands-on information for readers involved in development, validation, and continued maintenance and evaluation of analytical procedures in pharmaceutical analysis. This newly revised and updated Third Edition includes much-needed interpretation of the most recent ICH guidelines for validation and method development, as well as recent publications of the USP on Analytical Procedure Lifecycle Management and the activities of the British Pharmacopeia AQbD Working Party. It also addresses hot topics in the field such as data integrity and continuous monitoring of analytical performance.
Metathesis Chemistry : From Nanostructure Design to Synthesis of Advanced Materials
Recently, an important scientific event in metathesis chemistry, the NATO-Advanced Study Institute New Frontiers in Metathesis Chemistry: From Nanostructure Design to Sustainable Technologies for . Synthesis of Advanced Materials was organized in Antalya, Turkey (September 4-16, 2006). Prominent scientists, young researchers and students, convened for two weeks to debate on the newest trends in olefin metathesis and identify future perspectives in this fascinating field of synthetic organic, organometallic and polymer chemistry with diverse potential applications in materials science and technology. Following the fruitful practice of the previous NATO ASI meetings, selected contributions comprising plenary lectures, short communications and posters are compiled in this special volume dedicated to this outstanding international scientific meeting.
