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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 Resonators and Beam Propagation : Fundamentals, Advanced Concepts, Applications

Optical Resonators provides a detailed discussion of the properties of optical resonators for lasers from basic theory to recent research. In addition to describing the fundamental theories of resonators such as geometrical optics, diffraction, and polarisation the characteristics of all important resonator schemes and their calculation are presented. Experimental examples, practical problems and a collection of measurement techniques support the comprehensive treatment of the subject. Optical Resonators is the only book currently available that provides a comprehensive overview of the the subject. Combined with the structure of the text and the autonomous nature of the chapters this work will be as suitable for those new to the field as it will be invaluable to specialists conducting research. This second edition has been enlarged by new sections on Q-switching and resonators with internal phase/amplitude control. In addition, the whole book has been brought up-to-date.

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Complications and quandaries in the ICT sector : Standard essential patents and competition issues

Talks about how the regulatory agencies and courts in the United States, European Union and India are dealing with the rising allegations of anti-competitive behaviour by standard essential patent (SEP) holders. It also discusses the role of standards setting organizations / standards developing organizations (SSO/SDO) and the various players involved in implementing the standards that influence practices and internal dynamics in the ICT sector. The book includes discussions on fair, reasonable and non-discriminatory (FRAND) licensing terms and the complexities that arise when both licensors and licensees of SEPs differ on what they mean by “fair”, “reasonable” and “non-discriminatory” terms. It also addresses topics such as the appropriate royalty base, calculation of FRAND rates and concerns related to FRAND commitments and the role of Federal Trade Commission (FTC) in collaborative standard setting process.

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Complex Nonlinearity : Chaos, Phase Transitions, Topology Change and Path Integrals

The book starts with a textbook-like expose on nonlinear dynamics, attractors and chaos, both temporal and spatio-temporal, including modern techniques of chaos–control. Chapter 2 turns to the edge of chaos, in the form of phase transitions (equilibrium and non-equilibrium, oscillatory, fractal and noise-induced), as well as the related field of synergetics. While the natural stage for linear dynamics comprises of flat, Euclidean geometry (with the corresponding calculation tools from linear algebra and analysis), the natural stage for nonlinear dynamics is curved, Riemannian geometry (with the corresponding tools from nonlinear, tensor algebra and analysis). The extreme nonlinearity – chaos – corresponds to the topology change of this curved geometrical stage, usually called configuration manifold. Chapter 3 elaborates on geometry and topology change in relation with complex nonlinearity and chaos. Chapter 4 develops general nonlinear dynamics, continuous and discrete, deterministic and stochastic, in the unique form of path integrals and their action-amplitude formalism.

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Chiral Soliton Models for Baryons

This concise research monograph introduces and reviews the concept of chiral soliton models for baryons. In these models, baryons emerge as (topological) defects of the chiral field. The many applications shed light on a number of bayron properties, ranging from static properties via nucleon resonances and deep inelastic scattering to even heavy ion collisions. As far as possible, the theoretical investigations are confronted with experiment. Conceived to bridge the gap between advanced graduate textbooks and the research literature, this volume also features a number of appendices to help nonspecialist readers to follow in more detail some of the calculations in the main text.

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Chemical Kinetics and Reaction Dynamics

Chemical Kinetics and Reaction Dynamics brings together the major facts and theories relating to the rates with which chemical reactions occur from both the macroscopic and microscopic point of view. This book helps the reader achieve a thorough understanding of the principles of chemical kinetics and includes: *Detailed stereochemical discussions of reaction steps *Classical theory based calculations of state-to-state rate constants *A collection of matters on kinetics of various special reactions such as micellar catalysis, phase transfer catalysis, inhibition processes, oscillatory reactions, solid-state reactions, and polymerization reactions at a single source. The growth of the chemical industry greatly depends on the application of chemical kinetics, catalysts and catalytic processes.

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Centrifugal Pumps

This book gives an unparalleled, up-to-date, in-depth treatment of all kinds of flow phenomena encountered in centrifugal pumps including the complex interactions of fluid flow with vibrations and wear of materials.

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Casting : An Analytical Approach

For a long time, the die cast industry has used trial and error as a leading development method, resulting in tremendous growth in the utilisation of available CFD (computational fluid dynamics) software. This software allows the development of better products that maximise the advantages the die cast process has to offer. Casting: An Analytical Approach will refresh knowledge of the governing laws of the fluid dynamics that have an effect on die cast die and die cast process design. MATLAB® (MathWorks, Inc.) and Visual Basic® (Microsoft) code are listed in Casting: An Analytical Approach for every stage of product, die and die cast process design; providing better understanding of die and process design and simplifying calculations of the die cast die as well as the die cast process. Gas ventilation system calculations and fundamentals of compressible gas flow are also included.

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Calcolo stocastico per la finanza = Stochastic Calculation for Finance

Offers an introduction to the mathematical, probabilistic and numerical methods that are the basis of the models for the valuation of derivative instruments, such as options and futures, dealt with in modern financial markets. The book is aimed at readers with scientific training, wishing to develop skills in the field of stochastic calculus applied to finance.

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Biosolids engineering and management

Biosolids Engineering and Management, is a collection of methods of practical design, calculation and numerical examples that illustrate how organized, analytical reasoning can lead to the discovery of clear, direct solutions, especially in the areas of biosolids management, treatment, disposal and beneficial use. The book’s including sludge and biosolids transport, pumping and storage, sludge conversion to biosolids, chlorination, stabilization, regulatory requirements, costs, agricultural land application, landfill, ocean disposal, combustion, incineration and sludge treatment process selection.

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Binary Rare Earth Oxides

The book begins with a brief introduction to binary rare earth oxides, their physical and chemical stabilities, polymorphism, crystal structures and phase transformation and the association with current applications. The book goes on to present the band structure of the oxides using several quantum chemical calculations, which belong to a newly developed area in the binary rare earth oxides. Central to this chapter are the characterizations of electrical, magnetic and optical properties, as well as details of single crystal growth and particle preparation methods that have progressed in recent years. Later chapters concentrate on thermo-chemical properties and trace determination techniques. The final chapter contains a variety of useful applications in various fields such as phosphors, glass abrasives, automotive catalysts, fuel cells, solid electrolytes, sunscreens, iron steels, and biological materials.

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Atomic structure theory : Lectures on atomic physics

This is a textbook for students with a background in quantum mechanics. The text is designed to give hands-on experience with atomic structure calculations. Material covered includes angular momentum methods, the central field Schrödinger and Dirac equations, Hartree-Fock and Dirac-Hartree-Fock equations, multiplet structure, hyperfine structure, the isotope shift, dipole and multipole transitions, basic many-body perturbation theory, configuration interaction, and correlation corrections to matrix elements.

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Applications of random matrices in physics

Random matrices are widely and successfully used in physics for almost 60-70 years, beginning with the works of Dyson and Wigner. Although it is an old subject, it is constantly developing into new areas of physics and mathematics. It constitutes now a part of the general culture of a theoretical physicist. Mathematical methods inspired by random matrix theory become more powerful, sophisticated and enjoy rapidly growing applications in physics. Recent examples include the calculation of universal correlations in the mesoscopic system, new applications in disordered and quantum chaotic systems, in combinatorial and growth models, as well as the recent breakthrough, due to the matrix models, in two dimensional gravity and string theory and the non-abelian gauge theories. The book consists of the lectures of the leading specialists and covers rather systematically many of these topics.

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Analysis of Low-Speed Unsteady Airfoil Flows

This book provides an introduction to unsteady aerodynamics with emphasis on the analysis and computation of inviscid and viscous two-dimensional flows over airfoils at low speeds. It begins with a discussion of the physics of unsteady flows and an explanation of lift and thrust generation, airfoil flutter, gust response and dynamic stall. This is followed by an exposition of the four major calculation methods in currents use, namely inviscid-panel, boundary-layer, viscous-inviscid interaction and Navier-Stokes methods. Undergraduate and graduate students, teachers, scientists and engineers concerned with aeronautical, hydronautical and mechanical engineering problems will gain understanding of the physics of unsteady low-speed flows and an ability to analyze these flows with modern computational methods.

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Analysis II

As with the first, the second volume contains substantially more material than can be covered in a one-semester course. Such courses may omit many beautiful and well-grounded applications which connect broadly to many areas of mathematics. We of course hope that students will pursue this material independently; teachers may find it useful for undergraduate seminars. For an overview of the material presented, consult the table of contents and the chapter introductions. As before, we stress that doing the numerous exercises is indispensable for understanding the subject matter, and they also round out and amplify the main text. In writing this volume, we are indebted to the help of many.

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Analysis by Its History

This book presents first-year calculus roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rigour for these subjects in the 19th century for one and several variables is treated in chapters III and IV. The text is complemented by a large number of examples, calculations and mathematical pictures and will provide stimulating and enjoyable reading for students, teachers, as well as researchers.

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Analisi matematica I : Teoria ed esercizi con complementi in rete = Mathematical analysis I : Theory and exercises with online complements

Intends to support a first teaching of Mathematical Analysis according to the principles of the new Didactic Regulations. It is especially designed for Engineering, Computer Science, Physics. The text has three different levels of reading. An essential level allows the student to grasp the essential concepts of the subject and to familiarize himself with the related calculation techniques. An intermediate level provides justifications for the main findings and enriches the presentation with useful observations and complements. A third level of reading, based on numerous references to a virtual text available online, allows the more motivated and interested student to deepen his or her preparation on the subject. Numerous examples and exercises with solutions complete the text. The captivating 2-color graphics make this text a fundamental point of reference for the study of the discipline.

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An Introduction to the Mathematics of Money : Saving and Investing

This is an undergraduate textbook on the basic aspects of personal savings and investing with a balanced mix of mathematical rigor and economic intuition. It uses routine financial calculations as the motivation and basis for tools of elementary real analysis rather than taking the latter as given. Proofs using induction, recurrence relations and proofs by contradiction are covered. Inequalities such as the Arithmetic-Geometric Mean Inequality and the Cauchy-Schwarz Inequality are used. Basic topics in probability and statistics are presented.

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An Introduction To Chemoinformatics

This, the first text written specifically for this field, aims to provide an introduction to the major techniques of chemoinformatics. The first part of the book deals with the representation of 2D and 3D molecular structures, the calculation of molecular descriptors and the construction of mathematical models. The second part describes other important topics including molecular similarity and diversity, the analysis of large data sets, virtual screening, and library design. Simple illustrative examples are used throughout to illustrate key concepts, supplemented with case studies from the literature.

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