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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.

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Lenses and Waves : Christiaan Huygens and the Mathematical Science of Optics in the Seventeenth Century

this book offers the first account of the development of Huygens’ mathematical analysis of lenses and telescopes and its significance for the origin of the wave theory of light. As Huygens applied his mathematical proficiency to practical issues pertaining to telescopes – including trying to design a perfect telescope by means of mathematical theory – his dioptrics is significant for our understanding of seventeenth-century relations between theory and practice. With this full account of Huygens’ optics, this book sheds new light on the history of seventeenth-century optics and the rise of the new mathematical sciences, as well as Huygens’ oeuvre as a whole. Students of the history of optics, of early mathematical physics, and the Scientific Revolution, will find this book enlightening.

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Lectures on Symplectic Geometry

Provides a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding.

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Lectures on Quantum Mechanics

Presents theoretical physics with a breathtaking array of examples and anecdotes. Basdevant's style is clear and stimulating, in the manner of a brisk classroom lecture that students can follow with ease and enjoyment.

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Lectures on Quantum Gravity

A primary goal was to foster interaction and communication between participants from different cultures, both in the layman’s sense of the term and in terms of approaches to quantum gravity. We hope that the links formed by students and the school will persist throughout their professional lives, continuing to promote interaction and the essential exchange of ideas that drives research forward. This volume contains improved and updated versions of the lectures given at the School. It has been prepared both as a reminder for the participants, and so that these pedagogical introductions can be made available to others who were unable to attend. We expect them to serve students of all ages well.

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Learning About Particles - 50 Privileged Years

Embedded in an autobiographic framework, this book retraces vividly and in some depth the golden years of particle physics as witnessed by one of the scientists who made seminal contributions to the understanding of what is now known as the Standard Model of particle physics. Well beyond a survey of interest to historians of sciences and researchers in the field, this book is a must for all students and young researchers who have learned about the theoretical and experimental facts that make up the standard model through modern textbooks only. It will provide the interested reader with a first hand account and deeper understanding of the multilayered and sinuous development that finally led to the present architecture of this theory.

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Laws of Nature

The book is concerned with the laws of nature and in particular with the laws of physics. The authors discuss three important questions: First, whether the observed regularities are based on strict "laws of nature" that hold rigorously and without any exception. Second, what we call a "law of nature" is studied by comparing this concept with invariance principles, causality principles, teleological principles and means of predicting future events. Finally, on the basis of these investigations the authors treat the ambitious and intricate third question, why the laws of nature hold. Are there rational reasons for this largely unexplained phenomenon? This book addresses students as well as researchers. It will be an excellent reference for those interested in the philosophical foundations of the natural sciences.

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Lattice Hadron Physics

This series of lectures draws upon the developments made in recent years in implementing chirality on the lattice via the overlap formalism. These developments exploit chiral effective field theory in order to extrapolate lattice results to physical quark masses, new forms of improving operators to remove lattice artefacts, analytical studies of finite volume effects in hadronic observables, and state-of-the-art lattice calculations of excited resonances. This volume is designed to assist those outside the field who want quickly to becoming literate in these topics. So it is intended for graduate students and experienced researchers in other areas of hadronic physics to provide the background through which they can appreciate, if not become active in, contemporary lattice gauge theory and its applications to hadronic phenomena.

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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.

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Large Coulomb Systems: Lecture Notes on Mathematical Aspects of QED

A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found. Nevertheless, there are several simplified effective models that successfully describe many body quantum systems and the interaction of radiation with matter. Large Coulomb Systems explores a selection of mathematical topics inspired by QED. It comprises selected, expanded and edited lectures given by international experts at a topical summer school and is intended as a high-level introduction for graduate students, postdocs and nonspecialists from related fields.

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Lake Victoria : Ecology, Resources, Environment

Recently, there has been, and continues to be, a tremendous interest on Lake Victoria and its environs, both locally and internationally. A casual browsing on the Internet indicates that the entries on the Lake have been rising phenomenally. At the same time, the issues discussed are as diverse as they are varied in their treatment of the subject, both in terms of depth and comprehensiveness. The information on Lake Victoria and its environ is scattered, isolated, and sometimes confusing even though documentation on the subject are available. Despite this situation, the fact remains that various people (e. g. , secondary and universitystudents,researchers,practitioners,etc. ,)wouldliketoaccess and know more about the Lake and its environs. Aware of the existing information gap about this world’s second largest fresh water Lake, this book is intended to provide readers with up-to-date information pertaining the Lake. The book gives an in-depth coverage of environmental issues, - source endowment, poverty amidst plenty, development opportunities, challenges and other related issues facing the Lake and its environs. It aims at providing information on the above variables, which hopefully will address the needs of various users.

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Knowledge Discovery from Legal Databases

Describes data mining , techniques as they apply to law. Law students, legal academics and applied information technology specialists are guided thorough all phases of the knowledge discovery from databases process with clear explanations of numerous data mining algorithms including rule induction, neural networks and association rules. Throughout the text, assumptions that make data mining in law quite different to mining other data are made explicit.  Issues such as the selection of commonplace cases, the use of discretion as a form of open texture, transformation using argumentation concepts and evaluation and deployment approaches are discussed at length.

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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.

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Kinetics of Catalytic Reactions

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.Many illustrations of these and other topics are provided along with numerous problems and a Solutions Manual for instructors. This book will be applicable to any graduate course in chemical engineering, chemistry or materials science that involves kinetics of catalytic reactions, including those catalyzed by enzymes.

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Jamming, Yielding, and Irreversible Deformation in Condensed Matter

This collection ot ten tutorial reviews by leading researchers in the field introduces and renews recent advances on irreversible deformation phenomena in solid state and soft condensed matter physics. The focus in applications is on amorphous materials, crystalline solids under stress and more generally, elastic manifolds driven by external processes. This book addresses in particular nonspecialists and graduate students wishing to enter the field.

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Compressor Instability with Integral Methods

Compressor Instability with Integral Methods" is a book, to bring together the quick integral approaches and advances in the field for the prediction of stall and surge problem in compressor. This book is useful for people involved in the flow analysis, design and testing of rotating machinery. For students, it can be used as a specialized topic of senior undergraduate or graduate study. The book can also be served as a self-study material to those who keen to acquire this knowledge. In brief, this book focuses on the numerical/computational analysis for the effect of distorted inlet flow propagation on the rotating stall and surge in axial compressors. It gains insight into the basic phenomena controlling these flow instabilities, and reveals the influence of inlet parameters on rotating stall and surge.

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Comprehensive utilization of magnesium slag by pidgeon process

This book introduces the harmless handling/recycling of magnesium slag , the process of magnesium silicothermic reduction (Pidgeon process)which the slag was produced, and . the magnesium resources, layout of the industry of the world. Examples and experimental data in this book are from the author group’s research programs, as well as the rencent researches in China. The book could provide precious reference to scientists and engineers in the field of recycling and environment friendly use of the industrial solid wastes. It could also be used for researchers and students who are interested in relevant field.

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Composite Materials : Properties as Influenced by Phase Geometry

This book deals with the mechanical and physical behavior of composites as influenced by composite geometry. This monograph provides a comprehensive introduction for researchers and students to modern composite materials research with a special emphasis on the influence of geometry to materials properties. Composite Materials enables the reader to a better understanding of the behavior of natural composites, improvement of such materials, and design of new materials with prescribed properties.

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Compendium of Theoretical Physics

Mechanics, Electrodynamics, Quantum Mechanics, and Statistical Mechanics and Thermodynamics comprise the canonical undergraduate curriculum of theoretical physics. In Compendium of Theoretical Physics, Armin Wachter and Henning Hoeber offer a concise, rigorous and structured overview that will be invaluable for students preparing for their qualifying examinations, readers needing a supplement to standard textbooks, and research or industrial physicists seeking a bridge between extensive textbooks and formula books. The authors take an axiomatic-deductive approach to each topic, starting the discussion of each theory with its fundamental equations. By subsequently deriving the various physical relationships and laws in logical rather than chronological order, and by using a consistent presentation and notation throughout, they emphasize the connections between the individual theories. The reader’s understanding is then reinforced with exercises, solutions and topic summaries.

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Communication system design using DSP algorithms : with laboratory experiments for the TMS320C6713 DSK

Designed for senior electrical engineering students, this textbook explores the theoretical concepts of digital signal processing and communication systems, using practical laboratory experiments with real-time DSP hardware.

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