Chapter Three

Critical effects in semiclassical scattering, in which the standard approximations break down, are associated with forward peaking, rainbows, glories, orbiting and resonances. Besides giving rise to beautiful optical effects in the atmosphere, critical effects have important applications in many areas of physics. However, their interpretation and accurate treatment is difficult. This book, based on the Elliott Montroll Lectures, given at the University of Rochester, deals with the theory of these critical effects. After a preliminary chapter in which the problem of critical effects is posed, the next three chapters on coronae, rainbows and glories are written so as to be accessible to a broader audience. The main part of the book then describes the results obtained from the application of complex angular momentum techniques to scattering by homogeneous spheres. These techniques lead to practically usable asymptotic approximations, and to new physical insights into critical effects. A n

The last two decades have seen an international explosion of interest in theories of mind, culture, and activity. This unique collection is the first to explicitly reach back to the tradition's original critical impulse within which the writings of Karl Marx played such a central role. Each author pushes this impulse further to address leading contemporary questions. It includes a diverse array of international scholars working from the fields of education, psychology, philosophy, sociology, anthropology, communications, industrial relations, and business studies. Broken into three main sections - education, work, and everyday life - each chapter builds from an analysis of practice and learning as social cultural participation and historical change in relation to the concept of activity, contradiction, and struggle. This book offers insight into an important complex of overlapping practices and institutions to shed light on broader debates over such matters as the 'knowledge economy' a

Hydrodynamics of High-Speed Marine Vehicles, first published in 2006, discusses the three main categories of high-speed marine vehicles - vessels supported by submerged hulls, air cushions or foils. The wave environment, resistance, propulsion, seakeeping, sea loads and manoeuvring are extensively covered based on rational and simplified methods. Links to automatic control and structural mechanics are emphasized. A detailed description of waterjet propulsion is given and the effect of water depth on wash, resistance, sinkage and trim is discussed. Chapter topics include resistance and wash; slamming; air cushion-supported vessels, including a detailed discussion of wave-excited resonant oscillations in air cushion; and hydrofoil vessels. The book contains numerous illustrations, examples and exercises.

The final thrilling chapter in the Tristan and Isolde trilogyIsolde, heir to the throne of the queens, is now a sovereign in her own right. With the glories of the throne comes the responsibility of a

Composed in honour of the sixty-fifth birthday of Lloyd Shapley, this volume makes accessible the large body of work that has grown out of Shapley's seminal 1953 paper. Each of the twenty essays concerns some aspect of the Shapley value. Three of the chapters are reprints of the 'ancestral' papers: Chapter 2 is Shapley's original 1953 paper defining the value; Chapter 3 is the 1954 paper by Shapley and Shubik applying the value to voting models; and chapter 19 is Shapley's 1969 paper defining a value for games without transferable utility. The other seventeen chapters were contributed especially for this volume. The first chapter introduces the subject and the other essays in the volume, and contains a brief account of a few of Shapley's other major contributions to game theory. The other chapters cover the reformulations, interpretations and generalizations that have been inspired by the Shapley value, and its applications to the study of coalition formulation, to the organization of

This book provides a brief but thorough account of the basic principles of good pump design. The first three chapters present the basic hydraulic equations, including cavitation, and discuss the principles that underlie the correct performance of the impeller and casing of centrifugal pumps and the blading of axial machines. The fourth chapter outlines analytical methods for flow calculations, including special techniques used in computer aided design. The following two chapters work through two examples: the impeller and casing of a simple volute type centrifugal pump; and an axial flow pump impeller. Shafts, bearings, seals and drives are discussed in a separate chapter. The last two chapters deal with design for difficult fluids, and codes and practices.

Cylindrical arrays lie at the heart of the antenna systems of most major radio communication systems, including broadcasting networks, cellular 'phone systems and radar. In this book, the authors present practical theoretical methods for determining current distributions, input admittances and field patterns of a wide variety of cylindrical antennas, including the isolated antenna, the two-element array, the circular array, curtain arrays, Yagi and log-periodic arrays, planar arrays and three-dimensional arrays. Coverage includes analysis of horizontal antennas over, on and in the earth and sea, large resonant arrays of electrically short dipoles and a chapter on the theory and techniques of experimental measurement. Written by three of the leading engineers in the field, and based on world-class research carried out at Harvard over the last forty years, Cylindrical Antennas and Arrays is destined to become established as the basic reference for practising engineers and advanced studen

This 1996 book summarises the state of knowledge on the microscopic behaviour of oxide surfaces. The first chapter of the book summarises classical approaches, introduces the concept of ionicity, and describes the mixed iono-covalent character of the oxygen cation bond in bulk materials. The next three chapters focus on the characteristics of the atomic structure (relaxation, rumpling and reconstruction effects), the electronic structure (band width, gap width, etc.) and the excitations of clean surfaces. Metal-oxide interfaces are considered in the fourth chapter with special emphasis on the microscopic interfacial interactions responsible for adhesion. The last chapter develops the concepts underlying acid-base reactions on oxide surfaces, which are used in catalysis, in adhesion science, and in colloid physics, and discusses their applicability to the adsorption of hydroxyl groups. A comprehensive list of references is included.

" a selection of The History Book Club and The Military History Book Club Read a chapter from the book "In three days the number of so-called 'volunteers' reached over three hundred men. Very quickly

Using Arabic is a guide to Arabic usage for students who have already acquired the basics of the language and wish to extend their knowledge. Focusing mainly on Modern Standard Arabic, it is divided into three clear sections on varieties of Arabic, grammar, and vocabulary. 'Varieties of Arabic' describes the linguistic situation in the Arab world, showing students variations in register through the use of authentic texts. The vocabulary section is designed not only to expand students' knowledge of Arabic words, but also to show them which words are most current, and which are appropriate to different registers. The final chapter provides an overview of Arabic grammar, giving many modern-day examples, and highlighting common errors. Clear, readable and easy to consult, Using Arabic will prove an invaluable reference for students seeking to improve their fluency and confidence in Arabic.

This book presents five sets of pedagogical lectures by internationally respected researchers on nonlinear instabilities and the transition to turbulence in hydrodynamics. The book begins with a general introduction to hydrodynamics covering fluid properties, flow measurement, dimensional analysis and turbulence. Chapter two reviews the special characteristics of instabilities in open flows. Chapter three presents mathematical tools for multiscale analysis and asymptotic matching applied to the dynamics of fronts and localized nonlinear states. Chapter four gives a detailed review of pattern forming instabilities. The final chapter provides a detailed and comprehensive introduction to the instability of flames, shocks and detonations. Together, these lectures provide a thought-provoking overview of current research in this important area.

This book describes the stochastic method for ocean wave analysis. This method provides a route to predicting the characteristics of random ocean waves - information vital for the design and safe operation of ships and ocean structures. Assuming a basic knowledge of probability theory, the book begins with a chapter describing the essential elements of wind-generated random seas from the stochastic point of view. The following three chapters introduce spectral analysis techniques, probabilistic predictions of wave amplitudes, wave height and periodicity. A further four chapters discuss sea severity, extreme sea state, the directional wave energy spreading in random seas and special wave events such as wave breaking and group phenomena. Finally the stochastic properties of non-Gaussian waves are presented. Useful appendices and an extensive reference list are included. Examples of practical applications of the theories presented can be found throughout the text. This book will be suitab

Available for the first time in paperback, The Quantum Theory of Fields is a self-contained, comprehensive, and up-to-date introduction to quantum field theory from Nobel Laureate Steven Weinberg. The first volume introduces the foundations of quantum field theory, the second volume examines modern applications, and finally the third volume presents supersymmetry, an area of theoretical physics likely to be at the centre of progress in the physics of elementary particles and gravitation. The development is fresh and logical throughout, with each step carefully motivated by what has gone before. The presentation of modern mathematical methods is throughout interwoven with accounts of applications in both elementary particle and condensed matter physics. The three volumes contain much original material, and are peppered with examples and insights drawn from the author's experience as a leader of elementary particle research. Exercises are included at the end of each chapter.

String Theory comprises two volumes which give a comprehensive and pedagogic account of the subject. Volume 1, first published in 1998, provides a thorough introduction to the bosonic string. The first four chapters introduce the central ideas of string theory, the tools of conformal field theory and of the Polyakov path integral, and the covariant quantization of the string. The next three chapters treat string interactions: the general formalism, and detailed treatments of the tree level and one loop amplitudes. Chapter eight covers toroidal compactification and many important aspects of string physics, such as T-duality and D-branes. Chapter nine treats higher-order amplitudes, including an analysis of their finiteness and unitarity, and various nonperturbative ideas. An appendix giving a short course on path integral methods is included. This is an essential text and reference for graduate students and researchers interested in modern superstring theory.

Bayesian inference provides a simple and unified approach to data analysis, allowing experimenters to assign probabilities to competing hypotheses of interest, on the basis of the current state of knowledge. By incorporating relevant prior information, it can sometimes improve model parameter estimates by many orders of magnitude. This book provides a clear exposition of the underlying concepts with many worked examples and problem sets. It also discusses implementation, including an introduction to Markov chain Monte-Carlo integration and linear and nonlinear model fitting. Particularly extensive coverage of spectral analysis (detecting and measuring periodic signals) includes a self-contained introduction to Fourier and discrete Fourier methods. There is a chapter devoted to Bayesian inference with Poisson sampling, and three chapters on frequentist methods help to bridge the gap between the frequentist and Bayesian approaches. Supporting Mathematica® notebooks with solutions to sele

This book is a unique compendium and synthesis of the cumulative knowledge of more than 100 years of discovery and study of North American tertiary mammals. The potentially most valuable contribution of this book is the detailed information of the distribution in time and space of each species at fossil localities, recorded in a uniform scheme, so that each chapter provides the same level of information. Thirty six chapters are devoted to a particular family or order, written by leading North American authorities, including discussion of anatomical features, systematics, and paleobiology. Three introductory chapters summarize information on the geological time scale, Tertiary vegetation, and Pleistocene events, and four summary chapters integrate systematic and biogeographic information for higher taxa. This book will serve as a unique data base for continuing studies in faunal diversification and change, and for questions such as how changing biogeography and climates influenced the e

This monograph presents a comprehensive description of the theoretical foundations and experimental applications of spectroscopic methods in plasma physics research. The first three chapters introduce the classical and quantum theory of radiation, with detailed descriptions of line strengths and high density effects. The next chapter describes theoretical and experimental aspects of spectral line broadening. The following five chapters are concerned with continuous spectra, level kinetics and cross sections, thermodynamic equilibrium relations, radiative energy transfer, and radiative energy losses. The book concludes with three chapters covering the basics of various applications of plasma spectroscopy to density and temperature measurements and to the determination of some other plasma properties. Over one thousand references not only guide the reader to original research covered in the chapters, but also to experimental details and instrumentation. This will be an important text and

"Read a chapter from the book. Benjamin Franklin's Autobiography ends in 1758, some thirty years before he died. Those three decades included some of the statesman's greatest triumphs, yet instead of

See the world, one molecule at a time. Chemistry helps us understand not only the world around us, but also our own bodies. CHEMISTRY MADE SIMPLE makes it fun. Each chapter has practice problems with

"How Students Learn is also available in three paperback versions of the original title. Each volume begins with the Introductory Chapter from the main text, then focuses on either the "History in the

"How Students Learn is also available in three paperback versions of the original title. Each volume begins with the Introductory Chapter from the main text, then focuses on either the "History in the

"How Students Learn is also available in three paperback versions of the original title. Each volume begins with the Introductory Chapter from the main text, then focuses on either the "History in the

Collected for the first time in a single volume are essays which examine the developments in three fundamental biological disciplines - embryology, evolutionary biology, and genetics. These disciplines were in conflict for much of the twentieth century and the essays in this collection examine key methodological problems within these disciplines and the difficulties faced in overcoming the conflicts between them. Burian skilfully weaves together historical appreciation of the settings within which scientists work, substantial knowledge of the biological problems at stake and the methodological and philosophical issues faced in integrating biological knowledge drawn from disparate sources. The final chapter describes what recent findings in development biology and genetics can tell us about the history and development of animals. Written in a clear, accessible style this collection should appeal to students and professionals in philosophy of science, and the philosophy and history of bi

Collected for the first time in a single volume are essays which examine the developments in three fundamental biological disciplines - embryology, evolutionary biology, and genetics. These disciplines were in conflict for much of the twentieth century and the essays in this collection examine key methodological problems within these disciplines and the difficulties faced in overcoming the conflicts between them. Burian skilfully weaves together historical appreciation of the settings within which scientists work, substantial knowledge of the biological problems at stake and the methodological and philosophical issues faced in integrating biological knowledge drawn from disparate sources. The final chapter describes what recent findings in development biology and genetics can tell us about the history and development of animals. Written in a clear, accessible style this collection should appeal to students and professionals in philosophy of science, and the philosophy and history of bi

Creating a Learning Culture features insightful essays from industry observers and revealing case studies of prominent corporations. Each chapter revolves around creating an environment where learning takes place each day, all day - fundamentally changing the way we think about how, what, and when we learn, and how we can apply learning to practice. For the first time contemporary work on this subject appears in one volume. Three sections address key aspects of learning culture: the modern business context and the importance of learning at every juncture; the organic and adaptive approaches organizational leaders can take to design enduring success; and the expanding role of individuals within organizations and the implications for business leaders, educators, technologists, and learners. Identifying the steps companies must take to remain competitive for years to come, this book explains how learning strategies applied to all aspects of every job can provide swift returns and lasting

Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several

目錄 CHAPTER ONE: INTRODUCTION CHAPTER TWO: RHETORICAL QUESTIONS IN THE BOOK OF HAGGAI CHAPTER THREE: RHETORICAL QUESTIONS IN THE BOOK OF ZECHARIAH CHAPTER FOUR: RHETORICAL QUESTIONS IN THE BOOK OF MALACHI CHAPTER FIVE: CONCLUSION WORKS CITED APPENDIX

A book covering subject matter typically taught over the course of two or three years, Abstract Algebra offers a self-contained presentation, detailed definitions, and excellent chapter-matched exerci

" a selection of The History Book Club and The Military History Book Club Read a chapter from the book "In three days the number of so-called 'volunteers' reached over three hundred men. Very quickly

In this elegantly written book, Lee Wandel discusses the relationship between the reform of poor relief and the Protestant Reformation in early sixteenth-century Zurich. In the introduction she traces the various ways that poverty had been evaluated, and its social and religious connotations, up to the sixteenth century. The first chapter provides a portrait of sixteenth-century Zurich. The next three chapters explore the discussion of the poor in various media of the town. The second chapter examines the sermons and pamphlets of Huldrych Zwingli, who was preaching that the poor were the true images of God. The third chapter addresses printed images depicting Christ calling beggars and other poor folk to Him, which appeared on title pages of Zwingli's pamphlets. The fourth chapter turns to the language of legislation, and in particular the poor ordinances of 1520 and 1525.

The aim of this book is to explain the shape of Greek mathematical thinking. It can be read on three levels: as a description of the practices of Greek mathematics; as a theory of the emergence of the deductive method; and as a case-study for a general view on the history of science. The starting point for the enquiry is geometry and the lettered diagram. Reviel Netz exploits the mathematicians' practices in the construction and lettering of their diagrams, and the continuing interaction between text and diagram in their proofs, to illuminate the underlying cognitive processes. A close examination of the mathematical use of language follows, especially mathematicians' use of repeated formulae. Two crucial chapters set out to show how mathematical proofs are structured and explain why Greek mathematical practice manages to be so satisfactory. A final chapter looks into the broader historical setting of Greek mathematical practice.

The goal of this book is to characterize the nature of abilities, competencies, and expertise, and to understand the relations among them. The book therefore seeks to integrate into a coherent discipline what formerly have been, to a large extent, three separate disciplines. Such integration makes both theoretical and practical sense, because abilities represent potentials to achieve competencies, and ultimately, expertise. Authors of each chapter (a) present their views on the nature of abilities, competencies, and expertise; (b) present their views on the interrelationships among these three constructs; (c) state their views on how these three constructs can be assessed and developed; (d) present empirical data supporting their position; (e) compare and contrast their position to alternative positions, showing why they believe their position to be preferred; and (f) speculate on the implications of their viewpoint for science, education, and society.

The goal of this book is to characterize the nature of abilities, competencies, and expertise, and to understand the relations among them. The book therefore seeks to integrate into a coherent discipline what formerly have been, to a large extent, three separate disciplines. Such integration makes both theoretical and practical sense, because abilities represent potentials to achieve competencies, and ultimately, expertise. Authors of each chapter (a) present their views on the nature of abilities, competencies, and expertise; (b) present their views on the interrelationships among these three constructs; (c) state their views on how these three constructs can be assessed and developed; (d) present empirical data supporting their position; (e) compare and contrast their position to alternative positions, showing why they believe their position to be preferred; and (f) speculate on the implications of their viewpoint for science, education, and society.

This concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the 'facts of life' for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.

This concise text, first published in 2003, is for a one-semester course for upper-level undergraduates and beginning graduate students in engineering, science, and mathematics, and can also serve as a quick reference for professionals. The major topics in ordinary differential equations, initial value problems, boundary value problems, and delay differential equations, are usually taught in three separate semester-long courses. This single book provides a sound treatment of all three in fewer than 300 pages. Each chapter begins with a discussion of the 'facts of life' for the problem, mainly by means of examples. Numerical methods for the problem are then developed, but only those methods most widely used. The treatment of each method is brief and technical issues are minimized, but all the issues important in practice and for understanding the codes are discussed. The last part of each chapter is a tutorial that shows how to solve problems by means of small, but realistic, examples.

This book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. The book begins by introducing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are explained using the notion of Grassmannian, vertex operators and pseudo-differential operators. A chapter is devoted to the inverse scattering method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The book contains many worked examples and is suitable for use as a textbook on graduate courses. It also provides a comprehensive reference for re

●The ordering of chapters has been changed so that the book divides more neatly into the basics of quantum mechanics and the most important applications that one would want to cover in a one-semester course.●The discussion of the general structure of wave mechanics and the more abstract description of quantum mechanics (including Dirac Notation) has been expanded.●New topics have been added including a discussion of the three-level system and a chapter on entanglement and macroscopic superposition.●The treatment of an electron in a magnetic field has been to late place in the book to form a unit (Chs. 16, 17, and 18) on radiative decays and radiation.

50 States includes important facts and fun trivia about the United States that students will love! Each state is summarized in a three-page mini-chapter which includes a fun, fact-filled passage conta

This is an advanced 2001 textbook on modal logic, a field which caught the attention of computer scientists in the late 1970s. Researchers in areas ranging from economics to computational linguistics have since realised its worth. The book is for novices and for more experienced readers, with two distinct tracks clearly signposted at the start of each chapter. The development is mathematical; prior acquaintance with first-order logic and its semantics is assumed, and familiarity with the basic mathematical notions of set theory is required. The authors focus on the use of modal languages as tools to analyze the properties of relational structures, including their algorithmic and algebraic aspects, and applications to issues in logic and computer science such as completeness, computability and complexity are considered. Three appendices supply basic background information and numerous exercises are provided. Ideal for anyone wanting to learn modern modal logic.

Cylindrical arrays lie at the heart of the antenna systems of most major radio communication systems, including broadcasting networks, cellular 'phone systems and radar. In this book, the authors present practical theoretical methods for determining current distributions, input admittances and field patterns of a wide variety of cylindrical antennas, including the isolated antenna, the two-element array, the circular array, curtain arrays, Yagi and log-periodic arrays, planar arrays and three-dimensional arrays. Coverage includes analysis of horizontal antennas over, on and in the earth and sea, large resonant arrays of electrically short dipoles and a chapter on the theory and techniques of experimental measurement. Written by three of the leading engineers in the field, and based on world-class research carried out at Harvard over the last forty years, Cylindrical Antennas and Arrays is destined to become established as the basic reference for practising engineers and advanced studen