الصفحة 14
الصفحة 14
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 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 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 Applications of Singular Perturbations : Boundary Layers and Multiple Timescale Dynamics
Perturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences.In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems.
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.
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.
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.
Metalliferous Sediments of the World Ocean : Fundamental Theory of Deep-Sea Hydrothermal Sedimentation
Dramatic advances in understanding global tectonics have been made in the last half century and the information and specific data acquired on the floor of the World Ocean by the scientific community probably has exc- ded that available in all previous time. With the benefit of new technology and advanced concepts in the earth sciences extensive exploration of the deep seabed became possible, and has been carried out in many parts of the world. Many features have been recognized and data recorded that are vital for understanding the fundamental processes that shape the earth=s surface and control the habitable environment. The data collected to date on the o- an floor and its physical environment greatly exceeds our understanding and appreciation of their fundamental importance in the earth sciences, and our ability to apply this knowledge effectively in improving our way of life.
Metal Fatigue : What It Is, Why It Matters
This book presents important concepts in metal fatigue in a straightforward manner, for the benefit of readers who must understand more advanced documents on a wide range of metal fatigue topics.
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.
Membrane Computing; 8th International Workshop, WMC 2007 Thessaloniki, Greece, June 25-28, 2007 Revised Selected and Invited Papers
This volume contains a selection of papers presented at the Eighth Workshop on Membrane Computing, WMC8, which took place in Thessaloniki, Greece, during June 25–28, 2008. Special attention was paid to the interaction of membrane computing with biology and computer science, focusing on the - ological roots of membrane computing, on applications of membrane computing in biology and medicine, and on possible electronically based implementations.
Membrane Computing ; Vol. 3850 ; 6th International Workshop, WMC 2005, Vienna, Austria, July 18-21, 2005, Revised Selected and Invited Papers
The papers in this volume cover all the main directions of research in membrane computing, ranging from theoretical topics in mathematics and computer science, to application issues, especially in biology. More specifically, these papers present research on topics such as: computational power and complexity classes, new types of P systems, relationships to Petri nets, quantum computing, and brane calculi, determinism vs. nondeterminism, hierarchies, the size of small families, algebraic approaches, and designing polynomial solutions to NP-complete problems through the use of membrane systems. Like the previous workshops,
Melting Hadrons, Boiling Quarks - From Hagedorn Temperature to Ultra-Relativistic Heavy-Ion Collisions at CERN : With a Tribute to Rolf Hagedorn
Shows how the study of multi-hadron production phenomena in the years after the founding of CERN culminated in Hagedorn's pioneering idea of limiting temperature, leading on to the discovery of the quark-gluon plasma -- announced, in February 2000 at CERN.
Medical imaging systems : An introductory guide
Gives a complete and comprehensive introduction to the fields of medical imaging systems, as designed for a broad range of applications. The authors of the book first explain the foundations of system theory and image processing, before highlighting several modalities in a dedicated chapter. The initial focus is on modalities that are closely related to traditional camera systems such as endoscopy and microscopy. This is followed by more complex image formation processes: magnetic resonance imaging, X-ray projection imaging, computed tomography, X-ray phase-contrast imaging, nuclear imaging, ultrasound, and optical coherence tomography.
Media Theory : Interdisciplinary Applied Mathematics
The focus of this book is a mathematical structure modeling a physical or biological system that can be in any of a number of `states.' Each state is characterized by a set of binary features, and differs from some other neighbor state or states by just one of those feature. A simple example of a `state’ is a partial solution of a jigsaw puzzle, which can be transformed into another partial solution or into the final solution just by adding or removing a single adjoining piece. The evolution of such a system over time is considered. Such a structure is analyzed from algebraic and probabilistic (stochastic) standpoints.
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 Materials
Provides a precise presentation of subjects illustrated with numerous engineering examples that students both understand and relate to theory and application. The tried and true methodology for presenting material gives students the best opportunity to succeed in this course. From the detailed examples, to the homework problems, instructors and students can be confident the material is clearly explained and accurately represented.
Mechanics of Materials
Provides a review of statics, covering the topics needed to begin the study of mechanics of materials including free-body diagrams, equilibrium, trusses, frames, centroids, and distributed loads. It presents the foundations and applications of mechanics of materials with emphasis on visual analysis, using sequences of figures to explain concepts and giving detailed explanations of the proper use of free-body diagrams. The Cauchy tetrahedron argument is included, which allows determination of the normal and shear stresses on an arbitrary plane for a general state of stress. An optional chapter discusses failure and modern fracture theory, including stress intensity factors and crack growth.
Mechanics and Strength of Materials
This treatise contains topics on Solid Mechanics, the Theory of Slender Members and an Introduction to the Theory of Structures, usually taught in the disciplines of Strength of Materials of most Engineering courses, such as Civil, Mechanical and Aeronautical Engineering.
