الصفحة 4
الصفحة 4
Metric Spaces
The abstract concepts of metric ces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.
Metric Spaces
This volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions.
Metric Handbook : Planning and Design Data
A major handbook of planning and design data for architects and architecture students. Covering basic design data for all the major building types, it is the ideal starting point for any project. For each building type, the book gives the basic design requirements and all the principal dimensional data, and succinct guidance on how to use the information and what regulations the designer needs to be aware of.
Metodi Matematici della Fisica = Mathematical Methods of Physics
This text draws its origin from my old notes, prepared for the course of Mathematical Methods of Physics and gradually arranged, refined and updated over the course of many years of teaching. The aim has always been to provide as simple and direct a presentation as possible of the mathematical methods relevant to Physics: Fourier series, Hilbert spaces, linear operators, functions of complex variables, Fourier and Laplace transforms, distributions. In addition to these basic topics, a brief introduction to the first notions of group theory, Lie algebras and symmetries in view of their applications to Physics is presented in the Appendix.
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 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 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.
Methodological approaches to societies in transformation : How to make sense of change
This book provides methodological devices and analytical frameworks for the study of societies in transformation. It explores a central paradox in the study of change: making sense of change requires long-term perspectives on societal transformations and on the different ways people experience social change, whereas the research carried out to study change is necessarily limited to a relatively short space of time. This volume offers a range of methodological responses to this challenge by paying attention to the complex entanglement of qualitative research and the metanarratives generally used to account for change.
Metal Matrix Composites
Metal matrix composites (MMCs) have become real engineering materials. MMCs have gone from "niche" materials to several high performance applications in aerospace, electronic packaging, automotive, and recreational products. This text focuses on the synergistic relationships among processing, microstructure, and properties of metal matrix composites. An introductory chapter is followed by a chapter each on reinforcements and common matrix materials. A chapter on the very important topic of processing of MMC is then presented. This is followed by a chapter on interfaces in MMCs, their characterization and techniques to obtain interfacial properties. Next there are chapters on monotonic mechanical and physical properties; followed by cyclic fatigue, creep, and wear resistance. We conclude with a chapter on applications of MMCs. The book is well-suited for upper level undergraduate students, graduate students, and as general source of reference on the subject for the professionals in the field.
Metaheuristics : Progress as Real Problem Solvers
Metaheuristics: Progress as Real Problem Solvers is a peer-reviewed volume of eighteen current, cutting-edge papers by leading researchers in the field. Included are an invited paper by F. Glover and G. Kochenberger, which discusses the concept of Metaheuristic agent processes, and a tutorial paper by M.G.C. Resende and C.C. Ribeiro discussing GRASP with path-relinking. Other papers discuss problem-solving approaches to timetabling, automated planograms, elevators, space allocation, shift design, cutting stock, flexible shop scheduling, colorectal cancer and cartography. A final group of methodology papers clarify various aspects of Metaheuristics from the computational view point
Mercury
Mercury, the planet closest to the Sun, is different in several respects from the other three terrestrial planets. In appearance, it resembles the heavily cratered surface of the Moon, but its density is high, it has a magnetic field and magnetosphere, but no atmosphere or ionosphere. This book reviews the progress made in Mercury studies since the flybys by Mariner 10 in 1974-75, based on the continued research using the Mariner 10 archive, on observations from Earth, and on increasingly realistic models of its interior evolution.
Men’s care center
"سين" مركزٌ للعافية والاسترخاء، مصمم بمزيج فريد من العناصر الطبيعية والهندسة المعمارية الحديثة ليمنح الزوار تجربة حسية متكاملة. يدمج المشروع المساحات الخضراء الداخلية والإضاءة الهادئة وخطوط التصميم المعاصرة لخلق بيئة فاخرة وهادئة. تشمل المساحات الرئيسية الحديقة الداخلية، والحمام التركي التقليدي، وغرف كبار الشخصيات، ومنطقة الاستقبال - جميعها مُرتبة بعناية لتعزيز الهدوء والتوازن. يركز التصميم على التفاصيل المعمارية والوظيفية، موفرًا للضيوف ملاذًا من ضغوط الحياة اليومية. خضعت التصاميم الداخلية والخارجية لدراسة دقيقة لضمان تجربة راقية وشاملة. “Sén” is a wellness and re laxation center designed with a unique blend of natural elements and modern architecture to provide visitors with a complete sensor experience. The project integrates indoor greenery, calming lighting, and con temporary design lines to create a luxurious and peaceful environment. Key spaces include the indoor garden, traditional hammam, VI P rooms, and reception area — all carefully arranged to promote tranquility and balance. The design focuses on architectural and functional details, offering guests a retreat from the stresses of everyday life. Both interior and exterior designs were carefully studied to ensure a refined and holistic experience.
Mediterranean Land-surface Processes Assessed from Space
1. 1 Space View and Ground Observations 1 1. 2 Mediterranean Climatic Environment 2 1. 3 Processes at Surfaces 10 1. 3. 1 Deforestation and Land-use Changes 10 1. 3. 2 Water Related Problems 16 1. 3. 3 Fire, Grazing, and Land Degradation 19 1. 3. 4 Drought, Floods, Frost, and Desertification 21 1. 3. 5 Coupling Between Surface and Atmosphere: The Role of the Atmospheric Boundary Layer 25 1. 4 Role and Capabilities of Measurements Made From Space 30 1. 4. 1 Research Programmes 30 1. 4. 2 Expected Information 32 1. 4. 3 Research Strategy 33 1. 4. 4 Observation of Changes in Heterogeneous Landscapes: Spatial and Temporal Scales 35 1. 4. 5 Land-surface Change Indicators Observable from Space 36 Spectral Characteristics of Vegetation and Soils (36); Responses of Remote Sensing Signals to Changes of Land-surface Properties (40) 1. 5 About this Book 48 Chapter 2 Processing and Archiving of Satellite and Ancillary Data 51 2. 1 Introduction 51 2. 2 The Remote Sensing Data Base 55 2. 2. 1 Satellite Instruments 55 The NOAA Observing System (55); Meteosat (57); Nimbus-7 (59); Landsat (59); SPOT (61); DMSP (62); ERS-1 and ERS-2 (62); TRMM (63); Terra (64); Envisat (65); Aqua (66) 2. 2. 2 Aircraft Instruments 66 The Use of Aircraft for Land-surface Process Studies (66); AVIRIS (67); TMS (68); AIRSAR (68); DIAL (69) 2. 3 Reception, Acquisition and Availability of Satellite Data 70 2. 3.
Mechanics of Material Forces
The book covers both theoretical and numerical developments. Conceptually speaking, common continuum mechanics in the sense of Newton—which gives rise to the notion of spatial (mechanical) forces—considers the response to variations of spatial placements of "physical particles” with respect to the ambient space, whereas continuum mechanics in the sense of Eshelby—which gives rise to the notion of material (configurational) forces—is concerned with the response to variations of material placements of "physical particles” with respect to the ambient material. Well-known examples of material forces are driving forces on defects like the Peach-Koehler forece, the J-Integral in fracture mechanics, and energy release. The consideration of material forces goes back to the works of Eshelby, who investigated forces on defects; therefore this area of continuum mechanics is sometimes denoted Eshelbian mechanics.
Mécanique céleste et contrôle des véhicules spatiaux = Celestial mechanics and spacecraft control
The textbook contains two parts: Part 1 is an introduction to celestial mechanics, and part II is devoted to the control of cosmic vehicles motion.The book is written in a clear mathematical style-Definition-Proposition-Lemma-Theorem-Corollary-and is almost self contained.
Measuring Precipitation from Space : EURAINSAT and the Future
More than 20 years after the last book on the subject the worldwide precipitation community has produced a comprehensive overview of its activities, achievements, ongoing research and future plans. Measuring Precipitation from Space presents state-of-the-art rainfall estimation algorithms, validation strategies, precipitation modelling, and assimilation in numerical weather prediction models. Clouds and precipitation observations and modelling are addressed for the improvement of the rainfall product quality. Special attention is given to the applications to monitoring and forecasting weather events and to climate monitoring in a frame of growing public interest.
Measure, Integration & Real Analysis
This book welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results.
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.
Mean Oscillations and Equimeasurable Rearrangements of Functions
Various applications of equimeasurable function rearrangements to the ''best constant"-type problems are considered in this volume. Several classical theorems are presented along with some very recent results. In particular, the text includes a product-space extension of the Rising Sun lemma, a product-space version of the John-Nirenberg inequality for bounded mean oscillation (BMO) functions with sharp exponent, a refinement of the Gurov-Reshetnyak lemma, sharp embedding theorems for Muckenhoupt, Gurov-Reshetnyak, reverse Hölder, and Gehring classes, etc. This volume is interesting for graduate students and mathematicians involved with these topics.
Max-Plus Methods for Nonlinear Control and Estimation
The central focus of this book is the control of continuous-time/continuous-space nonlinear systems. Using new techniques that employ the max-plus algebra, the author addresses several classes of nonlinear control problems, including nonlinear optimal control problems and nonlinear robust/H-infinity control and estimation problems. Several numerical techniques are employed, including a max-plus eigenvector approach and an approach that avoids the curse-of-dimensionality.. The max-plus-based methods examined in this monograph belong to an entirely new class of numerical methods for the solution of nonlinear control problems.The potential advantages of the max-plus-based approaches lie in the fact that solution operators for nonlinear HJB problems are linear over the max-plus algebra, and this linearity is exploited in the construction of algorithms.
