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Lie Groups : An Approach through Invariants and Representations
Lie groups has been an increasing area of focus and rich research since the middle of the 20th century. Procesi's masterful approach to Lie groups through invariants and representations gives the reader a comprehensive treatment of the classical groups along with an extensive introduction to a wide range of topics associated with Lie groups: symmetric functions, theory of algebraic forms, Lie algebras, tensor algebra and symmetry, semisimple Lie algebras, algebraic groups, group representations, invariants, Hilbert theory, and binary forms with fields ranging from pure algebra to functional analysis.
Lie Algebras and Applications
This book, designed for advanced graduate students and post-graduate researchers, provides an introduction to Lie algebras and some of their applications to the spectroscopy of molecules, atoms, nuclei and hadrons. In the first part, a concise exposition is given of the basic concepts of Lie algebras, their representations and their invariants. The second part contains a description of how Lie algebras are used in practice in the treatment of bosonic and fermionic systems. Physical applications considered include rotations and vibrations of molecules (vibron model), collective modes in nuclei (interacting boson model), the atomic shell model, the nuclear shell model, and the quark model of hadrons. One of the key concepts in the application of Lie algebraic methods in physics, that of spectrum generating algebras and their associated dynamic symmetries, is also discussed. The book contains many examples that help to elucidate the abstract algebraic definitions. It provides a summary of many formulas of practical interest, such as the eigenvalues of Casimir operators and the dimensions of the representations of all classical Lie algebras.
Legitimacy in International Law
In recent years the question of the legitimacy of international law has been discussed quite intensively. Such questions are, for example, whether international law lacks legitimacy in general; whether international law or a part of it has yielded to the facts of power; whether adherence to international legal commitments should be subordinated to self-defined national interests; whether international law or particular rules of it – such as the prohibition of the use of armed force – have lost their ability to induce compliance (compliance pull); and what is the relevance of non-enforcement or failure to obey for the legitimacy of that particular international norm? This book contains fresh perspectives on these questions, offered at an international and interdisciplinary conference hosted by the Max Planck Institute for Comparative Law and International Law.
Lectures on Advances in Combinatorics
The main focus of these lectures is basis extremal problems and inequalities – two sides of the same coin. Additionally they prepare well for approaches and methods useful and applicable in a broader mathematical context. Highlights of the book include a solution to the famous 4m-conjecture of Erdös/Ko/Rado 1938, one of the oldest problems in combinatorial extremal theory, an answer to a question of Erdös (1962) in combinatorial number theory "What is the maximal cardinality of a set of numbers smaller than n with no k+1 of its members pair wise relatively prime?", and the discovery that the AD-inequality implies more general and sharper number theoretical inequalities than for instance Behrend's inequality.
Le raisonnement bayésien : Modélisation et inférence = Bayesian reasoning : Modeling and inference
Describes in detail the practice of the Bayesian statistical approach using many examples chosen for their educational interest. The first part gives the general principles of statistical modeling making it possible to supervise but also to come to the aid of the imagination of the apprentice modeler. By examining examples of increasing difficulty, the reader forges the keys to building their own model. The second part presents the most useful calculation algorithms for estimating the unknowns of the model. Each inference method is presented and illustrated by numerous application cases.
Lasers, Clocks and Drag-Free Control : Exploration of Relativistic Gravity in Space
Over the next decade the gravitational physics community will benefit from dramatic improvements in many technologies critical to testing gravity. Highly accurate deep space navigation, interplanetary laser communication, interferometry and metrology, high precision frequency standards, precise pointing and attitude control, together with drag-free technologies, will revolutionize the field of experimental gravitational physics. The centennial of the general theory of relativity in 2015 will motivate a significant number of experiments designed to test this theory with unprecedented accuracy.
Lasers and Nuclei : Applications of Ultrahigh Intensity Lasers in Nuclear Science
Lasers and Nuclei describes the generation of high-energy-particle radiation with high-intensity lasers and its application to nuclear science. A basic introduction to laser--matter interaction at high fields is complemented by detailed presentations of state of the art laser particle acceleration and elementary laser nuclear experiments. The text also discusses future applications of lasers in nuclear science, for example in nuclear astrophysics, isotope generation, nuclear fuel physics and proton and neutron imaging.
Laser Spectroscopy : Vol.2 Experimental Techniques
Keeping abreast of the latest techniques and applications, this new edition of the standard reference and graduate text on laser spectroscopy has been completely revised and expanded. While the general concept is unchanged, the new edition features a broad array of new material, e.g. frequency doubling in external cavities, reliable cw-parametric oscillators, tunable narrow-band UV sources, more sensitive detection techniques, tunable femtosecond and sub-femtosecond lasers (X-ray region and the attosecond range), control of atomic and molecular excitations, frequency combs able to synchronize independent femtosecond lasers, coherent matter waves, and still more applications in chemical analysis, medical diagnostics, and engineering.
Laser Spectroscopy : Vol.1 Basic Principles
Keeping abreast of the latest techniques and applications, this new edition of the standard reference and graduate text on laser spectroscopy has been completely revised and expanded. While the general concept is unchanged, the new edition features a broad array of new material, e.g., frequency doubling in external cavities, reliable cw-parametric oscillators, tunable narrow-band UV sources, more sensitive detection techniques, tunable femtosecond and sub-femtosecond lasers (X-ray region and the attosecond range), control of atomic and molecular excitations, frequency combs able to synchronize independent femtosecond lasers, coherent matter waves, and still more applications in chemical analysis, medical diagnostics, and engineering.
Laser Fabrication and Machining of Materials
Laser Fabrication and Machining of Materials introduces readers to the fundamental properties and physical phenomena of laser machining and its applications on the macro, micro, and nano scales. Examples of existing, emerging, and potential techniques are discussed, giving students and practicing engineers alike the opportunity to expand their use of lasers in such disciplines as mechanical processes, electronics, materials, and manufacturing.
Landslides : Risk Analysis and Sustainable Disaster Management
Based on contributions to the first General Assembly of the International Consortium on Landslides, this reference and status report emphasizes the mechanisms of different types of landslides, landslide risk analysis, and sustainable disaster management. It comprises the achievements of the ICL over the past three years, since the Kyoto assembly. It consists of three parts: research results of the International Programme on Landslides (IPL); contributions on landslide risk analysis; and articles on sustainable disaster management. The contributions reflect a wide range of topics and concerns, randing from field studies, identification of objects of cultural heritage at landslide risk, as well as landslide countermeasures.
Landscape Analysis and Visualisation : Spatial Models for Natural Resource Management and Planning
This book presents a collection and synthesis of many of these perspectives — perhaps it could only be produced in a land urb- ised in the tiniest of pockets, and yet so daunting with respect to the way non-populated landscapes dwarf its cities. Many travel to Australia to its cities and never see the landscapes — but it is these that give the country its power and imagery. It is the landscapes that so impress on us the need to consider how our intervention, through activities ranging from resource exploitation and settled agriculture to climate change, poses one of the greatest crises facing the modern world. In this sense, Australia and its landscape provide a mirror through which we can glimpse the extent to which our intervention in the world threatens its very existence.
Lacroix and the Calculus
Lacroix and the Calculus is the first major study of Lacroix’s large Traité. It uses the unique and massive bibliography given by Lacroix to explore late 18th-century calculus, and the way it is reflected in Lacroix’s account. Several particular aspects are addressed in detail, including: the foundations of differential calculus, analytic and differential geometry, conceptions of the integral, and types of solutions of differential equations (singular/complete/general integrals, geometrical interpretations, and generality of arbitrary functions).
La correspondance entre Henri Poincaré et les physiciens, chimistes et ingénieurs = The correspondence between Henri Poincaré and physicists, chemists and engineers
Cosmic microwave background radiation is the residue of the great heat following the Big Bang. A tenuous sign, over 13 billion years old, in which the answers to many of the questions about the nature of our Universe are hidden. Discovered by chance in 1964, in the last forty years this fossil trace of the origins of the Cosmos has been explored with every available means. Two Nobel Prizes in physics have already been awarded for research involving it, the last in 2006 for the results of the COBE satellite. Much of the information encoded in the cosmic background radiation was impressed by the superimposition of acoustic waves present in the early Universe: a "music" of the Big Bang, which cosmologists have tried for years to reconstruct, using techniques similar to those that allow to distinguish the sound of different musical instruments. Only recently have the first notes of this extraordinary cosmic symphony finally been revealed, but the investigation is not over yet. This book illustrates, with a language suitable even for non-specialists, the theories, observations and discoveries that have brought cosmology into a new era.
L’isomorphisme entre les tours de Lubin-Tate et de Drinfeld = The isomorphism between the Lubin-Tate and Drinfeld towers
This book contains a detailed and complete demonstration of the existence of an equivariate isomorphism between the Lubin-Tate and Drinfeld p-adic turns. The result is established in equal and unequal characteristics. There is also given as an application a proof that the equivariant cohomologies of these two turns are isomorphic, a result which has applications to the study of the local Langlands correspondence. During the proof, reminders and complements are given on the structure of the two preceding moduli spaces, the p-divisible formal groups and the p-adic rigid analytical geometry.
Knowledge-Driven Computing : Knowledge Engineering and Intelligent Computations
Knowledge-Driven Computing constitutes an emerging area of intensive research located at the intersection of Computational Intelligence and Knowledge Engineering with strong mathematical foundations. It embraces methods and approaches coming from diverse computational paradigms, such as evolutionary computation and nature-inspired algorithms, logic programming and constraint programming, rule-based systems, fuzzy sets and many others. The use of various knowledge representation formalisms and knowledge processing and computing paradigms is oriented towards the efficient resolution of computationally complex and difficult problems.
Knowledge for Governance
Focuses on theoretical and empirical intersections between governance, knowledge and space from an interdisciplinary perspective. The contributions elucidate how knowledge is a prerequisite as well as a driver of governance efficacy, and conversely, how governance affects the creation and use of knowledge and innovation in geographical context.
Knowledge and Critical Pedagogy : An Introduction
Knowledge and Critical Pedagogy: An Introduction takes scholars through a critical review of the issues facing researchers and educators in the last years of the first decade of the twenty-first century. Refusing to assume the reader’s familiarity with such issues but concurrently rebuffing the tendency to dumb down such complex issues, the book serves as an excellent introduction to one of the most important and complicated issues of our time.
Kinship and Demographic Behavior in the Past
This book examines the role of kinship and the family’s influence on the health outcomes of their children, their children’s selection of marriage partners, couples having higher order births or reduced fertility, individual migration and origins of populations. Mortality patterns are examined to determine the influence of fertility patterns on parents’ mortality, the contribution of parents’ longevity to their children’s lifespan, and the whether a family history of disease affects the risk of dying from that same disease.This volume emphasizes the importance of studies that include and compare other factors related to social organization with information on multi-generational families. The authors elucidate previous explanations and provide provocative new results. Such intergenerational research is crucial in understanding long term demographic trends and processes.
Kinetics of Catalytic Reactions--Solutions Manual
This textbook contains all the information needed for graduate students or industrial researchers to design kinetic experiments involving heterogeneous catalysts, to characterize these catalysts, to acquire valid rate data, to verify the absence of mass (and heat) transfer limitations, to propose reaction models, to derive rate expressions based on these models and, finally, to assess the consistency of these rate equations.The most recent technique to calculate heats of adsorption and activation barriers on metal surfaces, the BOC-MP approach, is discussed in detail. Methods to measure metal surface areas and crystallite sizes using x-ray diffraction, transmission electron microscopy and various chemisorption techniques are discussed. Different experimental techniques to determine the influence of mass transfer limitations, especially within the pores of a catalyst, are reviewed in detail, with a particular emphasis on liquid-phase reactions.
