A concise, modern textbook on group theory written especially for physicistsAlthough group theory is a mathematical subject, it is indispensable to many areas of modern theoretical physics, from atomic physics to condensed matter physics, particle physics to string theory. In particular, it is essential for an understanding of the fundamental forces. Yet until now, what has been missing is a modern, accessible, and self-contained textbook on the subject written especially for physicists.Group Theory in a Nutshell for Physicists fills this gap, providing a user-friendly and classroom-tested text that focuses on those aspects of group theory physicists most need to know. From the basic intuitive notion of a group, A. Zee takes readers all the way up to how theories based on gauge groups could unify three of the four fundamental forces. He also includes a concise review of the linear algebra needed for group theory, making the book ideal for self-study.Provides physicists with a modern and accessible introduction to group theoryCovers applications to various areas of physics, including field theory, particle physics, relativity, and much moreTopics include finite group and character tables; real, pseudoreal, and complex representations; Weyl, Dirac, and Majorana equations; the expanding universe and group theory; grand unification; and much moreThe essential textbook for students and an invaluable resource for researchersFeatures a brief, self-contained treatment of linear algebraAn online illustration package is available to professorsSolutions manual (available only to professors)
Originally published in 1957, this classic work has guided generations of scholars through the arcane mysteries of medieval political theology. Throughout history, the notion of two bodies has permitted the post mortem continuity of monarch and monarchy, as epitomized by the statement, "e;The king is dead. Long live the king."e; In The King's Two Bodies, Ernst Kantorowicz traces the historical problem posed by the "e;King's two bodies"e;--the body natural and the body politic--back to the Middle Ages and demonstrates, by placing the concept in its proper setting of medieval thought and political theory, how the early-modern Western monarchies gradually began to develop a "e;political theology.?The king's natural body has physical attributes, suffers, and dies, naturally, as do all humans; but the king's other body, the spiritual body, transcends the earthly and serves as a symbol of his office as majesty with the divine right to rule. The notion of the two bodies allowed for the continuity of monarchy even when the monarch died, as summed up in the formulation "e;The king is dead. Long live the king."e; Bringing together liturgical works, images, and polemical material, The King's Two Bodies explores the long Christian past behind this "e;political theology."e; It provides a subtle history of how commonwealths developed symbolic means for establishing their sovereignty and, with such means, began to establish early forms of the nation-state. Kantorowicz fled Nazi Germany in 1938, after refusing to sign a Nazi loyalty oath, and settled in the United States. While teaching at the University of California, Berkeley, he once again refused to sign an oath of allegiance, this one designed to identify Communist Party sympathizers. He was dismissed as a result of the controversy and moved to the Institute for Advanced Study in Princeton, where he remained for the rest of his life, and where he wrote The King's Two Bodies.Featuring a new introduction, The King's Two Bodies is a subtle history of how commonwealths developed symbolic means for establishing their sovereignty and, with such means, began to establish early forms of the nation-state.
The concept of symmetry has widespread manifestations and many diverse applications-from architecture to mathematics to science. Yet, as twentieth-century physics has revealed, symmetry has a special, central role in nature, one that is occasionally and enigmatically violated. Fearful Symmetry brings the incredible discoveries of the juxtaposition of symmetry and asymmetry in contemporary physics within everyone's grasp. A. Zee, a distinguished physicist and skillful expositor, tells the exciting story of how contemporary theoretical physicists are following Einstein in their search for the beauty and simplicity of Nature. Animated by a sense of reverence and whimsy, Fearful Symmetry describes the majestic sweep and accomplishments of twentieth-century physics-one of the greatest chapters in the intellectual history of humankind.
When we think about viruses we tend to consider ones that afflict humans-such as those that cause influenza, HIV, and Ebola. Yet, vastly more viruses infect single-celled microbes. Diverse and abundant, microbes and the viruses that infect them are found in oceans, lakes, plants, soil, and animal-associated microbiomes. Taking a vital look at the "e;microscopic"e; mode of disease dynamics, Quantitative Viral Ecology establishes a theoretical foundation from which to model and predict the ecological and evolutionary dynamics that result from the interaction between viruses and their microbial hosts.Joshua Weitz addresses three major questions: What are viruses of microbes and what do they do to their hosts? How do interactions of a single virus-host pair affect the number and traits of hosts and virus populations? How do virus-host dynamics emerge in natural environments when interactions take place between many viruses and many hosts? Emphasizing how theory and models can provide answers, Weitz offers a cohesive framework for tackling new challenges in the study of viruses and microbes and how they are connected to ecological processes-from the laboratory to the Earth system.Quantitative Viral Ecology is an innovative exploration of the influence of viruses in our complex natural world.
Macroeconomic Theory is the most up-to-date graduate-level macroeconomics textbook available today. This revised second edition emphasizes the general equilibrium character of macroeconomics to explain effects across the whole economy while taking into account recent research in the field. It is the perfect resource for students and researchers seeking coverage of the most current developments in macroeconomics. Michael Wickens lays out the core ideas of modern macroeconomics and its links with finance. He presents the simplest general equilibrium macroeconomic model for a closed economy, and then gradually develops a comprehensive model of the open economy. Every important topic is covered, including growth, business cycles, fiscal policy, taxation and debt finance, current account sustainability, and exchange-rate determination. There is also an up-to-date account of monetary policy through inflation targeting. Wickens addresses the interrelationships between macroeconomics and modern finance and shows how they affect stock, bond, and foreign-exchange markets. In this edition, he also examines issues raised by the most recent financial crisis, and two new chapters explore banks, financial intermediation, and unconventional monetary policy, as well as modern theories of unemployment. There is new material in most other chapters, including macrofinance models and inflation targeting when there are supply shocks. While the mathematics in the book is rigorous, the fundamental concepts presented make the text self-contained and easy to use. Accessible, comprehensive, and wide-ranging, Macroeconomic Theory is the standard book on the subject for students and economists. The most up-to-date graduate macroeconomics textbook available today General equilibrium macroeconomics and the latest advances covered fully and completely Two new chapters investigate banking and monetary policy, and unemployment Addresses questions raised by the recent financial crisis Web-based exercises with answers Extensive mathematical appendix for at-a-glance easy reference This book has been adopted as a textbook at the following universities: American University Bentley College Brandeis University Brigham Young University California Lutheran University California State University - Sacramento Cardiff University Carleton University Colorado College Fordham University London Metropolitan University New York University Northeastern University Ohio University - Main Campus San Diego State University St. Cloud State University State University Of New York - Amherst Campus State University Of New York - Buffalo North Campus Temple University - Main Texas Tech University University of Alberta University Of Notre Dame University Of Ottawa University Of Pittsburgh University Of South Florida - Tampa University Of Tennessee University Of Texas At Dallas University Of Washington University of Western Ontario Wesleyan University Western Nevada Community College
It seems reasonable to believe that there might have existed things other than those that in fact exist, or have existed. But how should we understand such claims? Standard semantic theories exploit the Leibnizian metaphor of a set of all possible worlds: a proposition might or must be true if it is true in some or all possible worlds. The actualist, who believes that nothing exists except what actually exists, prefers to talk of possible states of the world, or of ways that a world might be. But even the actualist still faces the problem of explaining what we are talking about when we talk about the domains of other possible worlds. In Mere Possibilities, Robert Stalnaker develops a framework for clarifying this problem, and explores a number of actualist strategies for solving it. Some philosophers have hypothesized a realm of individual essences that stand as proxies for all merely possible beings. Others have argued that we are committed to the necessary existence of everything that does or might exist. In contrast, Mere Possibilities shows how we can make sense of ordinary beliefs about what might and must exist without making counterintuitive metaphysical commitments. The book also sheds new light on the nature of metaphysical theorizing by exploring the interaction of semantic and metaphysical issues, the connections between different metaphysical issues, and the nature of ontological commitment.
Depicting the lives of the saints in an array of factual and fictional stories, The Golden Legend was perhaps the most widely read book, after the Bible, during the late Middle Ages. It was compiled around 1260 by Jacobus de Voragine, a scholarly friar and later archbishop of Genoa, whose purpose was to captivate, encourage, and edify the faithful, while preserving a vast store of information pertaining to the legends and traditions of the church. In this translation, the first in English of the complete text, William Granger Ryan captures the immediacy of this rich work, which offers an important guide for readers interested in medieval art and literature and, more generally, in popular religious culture. Arranged according to the order of saints' feast days, these fascinating stories are now combined into one volume. This edition also features an introduction by Eamon Duffy contextualizing the work.
The history of Krupp is the history of modern Germany. No company symbolized the best and worst of that history more than the famous steel and arms maker. In this book, Harold James tells the story of the Krupp family and its industrial empire between the early nineteenth century and the present, and analyzes its transition from a family business to one owned by a nonprofit foundation. Krupp founded a small steel mill in 1811, which established the basis for one of the largest and most important companies in the world by the end of the century. Famously loyal to its highly paid workers, it rejected an exclusive focus on profit, but the company also played a central role in the armament of Nazi Germany and the firm's head was convicted as a war criminal at Nuremberg. Yet after the war Krupp managed to rebuild itself and become a symbol of Germany once again--this time open, economically successful, and socially responsible. Books on Krupp tend to either denounce it as a diabolical enterprise or celebrate its technical ingenuity. In contrast, James presents a balanced account, showing that the owners felt ambivalent about the company's military connection even while becoming more and more entangled in Germany's aggressive politics during the imperial era and the Third Reich. By placing the story of Krupp and its owners in a wide context, James also provides new insights into the political, social, and economic history of modern Germany.
In this provocative and timely book, David Kennedy explores what can go awry when we put our humanitarian yearnings into action on a global scale--and what we can do in response. Rooted in Kennedy's own experience in numerous humanitarian efforts, the book examines campaigns for human rights, refugee protection, economic development, and for humanitarian limits to the conduct of war. It takes us from the jails of Uruguay to the corridors of the United Nations, from the founding of a non-governmental organization dedicated to the liberation of East Timor to work aboard an aircraft carrier in the Persian Gulf. Kennedy shares the satisfactions of international humanitarian engagement--but also the disappointments of a faith betrayed. With humanitarianism's new power comes knowledge that even the most well-intentioned projects can create as many problems as they solve. Kennedy develops a checklist of the unforeseen consequences, blind spots, and biases of humanitarian work--from focusing too much on rules and too little on results to the ambiguities of waging war in the name of human rights. He explores the mix of altruism, self-doubt, self-congratulation, and simple disorientation that accompany efforts to bring humanitarian commitments to foreign settings. Writing for all those who wish that "e;globalization"e; could be more humane, Kennedy urges us to think and work more pragmatically. A work of unusual verve, honesty, and insight, this insider's account urges us to embrace the freedom and the responsibility that come with a deeper awareness of the dark sides of humanitarian governance.
Phase transitions--changes between different states of organization in a complex system--have long helped to explain physics concepts, such as why water freezes into a solid or boils to become a gas. How might phase transitions shed light on important problems in biological and ecological complex systems? Exploring the origins and implications of sudden changes in nature and society, Phase Transitions examines different dynamical behaviors in a broad range of complex systems. Using a compelling set of examples, from gene networks and ant colonies to human language and the degradation of diverse ecosystems, the book illustrates the power of simple models to reveal how phase transitions occur. Introductory chapters provide the critical concepts and the simplest mathematical techniques required to study phase transitions. In a series of example-driven chapters, Ricard Sole shows how such concepts and techniques can be applied to the analysis and prediction of complex system behavior, including the origins of life, viral replication, epidemics, language evolution, and the emergence and breakdown of societies. Written at an undergraduate mathematical level, this book provides the essential theoretical tools and foundations required to develop basic models to explain collective phase transitions for a wide variety of ecosystems.
Why writing in captivity is a vitally important form of literary resistanceBoethius wrote The Consolation of Philosophy as a prisoner condemned to death for treason, circumstances that are reflected in the themes and concerns of its evocative poetry and dialogue between the prisoner and his mentor, Lady Philosophy. This classic philosophical statement of late antiquity has had an enduring influence on Western thought. It is also the earliest example of what Rivkah Zim identifies as a distinctive and vitally important medium of literary resistance: writing in captivity by prisoners of conscience and persecuted minorities.The Consolations of Writing reveals why the great contributors to this tradition of prison writing are among the most crucial figures in Western literature. Zim pairs writers from different periods and cultural settings, carefully examining the rhetorical strategies they used in captivity, often under the threat of death. She looks at Boethius and Dietrich Bonhoeffer as philosophers and theologians writing in defense of their ideas, and Thomas More and Antonio Gramsci as politicians in dialogue with established concepts of church and state. Different ideas of grace and disgrace occupied John Bunyan and Oscar Wilde in prison; Madame Roland and Anne Frank wrote themselves into history in various forms of memoir; and Jean Cassou and Irina Ratushinskaya voiced their resistance to totalitarianism through lyric poetry that saved their lives and inspired others. Finally, Primo Levi's writing after his release from Auschwitz recalls and decodes the obscenity of systematic genocide and its aftermath.A moving and powerful testament, The Consolations of Writing speaks to some of the most profound questions about life, enriching our understanding of what it is to be human.
An inviting collection of fun, hands-on applications in mathematics and computingThis book provides a fun, hands-on approach to learning how mathematics and computing relate to the world around us and help us to better understand it. How can reposting on Twitter kill a movie's opening weekend? How can you use mathematics to find your celebrity look-alike? What is Homer Simpson's method for disproving Fermat's Last Theorem? Each topic in this refreshingly inviting book illustrates a famous mathematical algorithm or result--such as Google's PageRank and the traveling salesman problem--and the applications grow more challenging as you progress through the chapters. But don't worry, helpful solutions are provided each step of the way.Math Bytes shows you how to do calculus using a bag of chocolate chips, and how to prove the Euler characteristic simply by doodling. Generously illustrated in color throughout, this lively and entertaining book also explains how to create fractal landscapes with a roll of the dice, pick a competitive bracket for March Madness, decipher the math that makes it possible to resize a computer font or launch an Angry Bird--and much, much more. All of the applications are presented in an accessible and engaging way, enabling beginners and advanced readers alike to learn and explore at their own pace--a bit and a byte at a time.
Asset pricing theory abounds with elegant mathematical models. The logic is so compelling that the models are widely used in policy, from banking, investments, and corporate finance to government. To what extent, however, can these models predict what actually happens in financial markets? In The Paradox of Asset Pricing, a leading financial researcher argues forcefully that the empirical record is weak at best. Peter Bossaerts undertakes the most thorough, technically sound investigation in many years into the scientific character of the pricing of financial assets. He probes this conundrum by modeling a decidedly volatile phenomenon that, he says, the world of finance has forgotten in its enthusiasm for the efficient markets hypothesis--speculation. Bossaerts writes that the existing empirical evidence may be tainted by the assumptions needed to make sense of historical field data or by reanalysis of the same data. To address the first problem, he demonstrates that one central assumption--that markets are efficient processors of information, that risk is a knowable quantity, and so on--can be relaxed substantially while retaining core elements of the existing methodology. The new approach brings novel insights to old data. As for the second problem, he proposes that asset pricing theory be studied through experiments in which subjects trade purposely designed assets for real money. This book will be welcomed by finance scholars and all those math--and statistics-minded readers interested in knowing whether there is science beyond the mathematics of finance. This book provided the foundation for subsequent journal articles that won two prestigious awards: the 2003 Journal of Financial Markets Best Paper Award and the 2004 Goldman Sachs Asset Management Best Research Paper for the Review of Finance.
In war, do mass and materiel matter most? Will states with the largest, best equipped, information-technology-rich militaries invariably win? The prevailing answer today among both scholars and policymakers is yes. But this is to overlook force employment, or the doctrine and tactics by which materiel is actually used. In a landmark reconception of battle and war, this book provides a systematic account of how force employment interacts with materiel to produce real combat outcomes. Stephen Biddle argues that force employment is central to modern war, becoming increasingly important since 1900 as the key to surviving ever more lethal weaponry. Technological change produces opposite effects depending on how forces are employed; to focus only on materiel is thus to risk major error--with serious consequences for both policy and scholarship. In clear, fluent prose, Biddle provides a systematic account of force employment's role and shows how this account holds up under rigorous, multimethod testing. The results challenge a wide variety of standard views, from current expectations for a revolution in military affairs to mainstream scholarship in international relations and orthodox interpretations of modern military history. Military Power will have a resounding impact on both scholarship in the field and on policy debates over the future of warfare, the size of the military, and the makeup of the defense budget.
This book reviews and develops Bayesian non-parametric and semi-parametric methods for applications in microeconometrics and quantitative marketing. Most econometric models used in microeconomics and marketing applications involve arbitrary distributional assumptions. As more data becomes available, a natural desire to provide methods that relax these assumptions arises. Peter Rossi advocates a Bayesian approach in which specific distributional assumptions are replaced with more flexible distributions based on mixtures of normals. The Bayesian approach can use either a large but fixed number of normal components in the mixture or an infinite number bounded only by the sample size. By using flexible distributional approximations instead of fixed parametric models, the Bayesian approach can reap the advantages of an efficient method that models all of the structure in the data while retaining desirable smoothing properties. Non-Bayesian non-parametric methods often require additional ad hoc rules to avoid "e;overfitting,"e; in which resulting density approximates are nonsmooth. With proper priors, the Bayesian approach largely avoids overfitting, while retaining flexibility. This book provides methods for assessing informative priors that require only simple data normalizations. The book also applies the mixture of the normals approximation method to a number of important models in microeconometrics and marketing, including the non-parametric and semi-parametric regression models, instrumental variables problems, and models of heterogeneity. In addition, the author has written a free online software package in R, "e;bayesm,"e; which implements all of the non-parametric models discussed in the book.
Modern America owes the Roman Empire for more than gladiator movies and the architecture of the nation's Capitol. It can also thank the ancient republic for some helpful lessons in globalization. So argues economic historian Harold James in this masterful work of intellectual history. The book addresses what James terms "e;the Roman dilemma"e;--the paradoxical notion that while global society depends on a system of rules for building peace and prosperity, this system inevitably leads to domestic clashes, international rivalry, and even wars. As it did in ancient Rome, James argues, a rule-based world order eventually subverts and destroys itself, creating the need for imperial action. The result is a continuous fluctuation between pacification and the breakdown of domestic order. James summons this argument, first put forth more than two centuries ago in Adam Smith's Wealth of Nations and Edward Gibbon's Decline and Fall of the Roman Empire, to put current events into perspective. The world now finds itself staggering between a set of internationally negotiated trading rules and exchange--rate regimes, and the enforcement practiced by a sometimes-imperial America. These two forces--liberal international order and empire--will one day feed on each other to create a shakeup in global relations, James predicts. To reinforce his point, he invokes the familiar bon mot once applied to the British Empire: "e;When Britain could not rule the waves, it waived the rules."e; ? Despite the pessimistic prognostications of Smith and Gibbon, who saw no way out of this dilemma, James ends his book on a less depressing note. He includes a chapter on one possible way in which the world could resolve the Roman Predicament--by opting for a global system based on values as opposed to rules.
The freedom to take part in civic life--whether in the exercise of one's right to vote or congregate and protest--has become increasingly less important to Americans than individual rights and liberties. In Public Freedom, renowned political theorist Dana Villa argues that political freedom is essential to both the preservation of constitutional government and the very substance of American democracy itself. Through intense close readings of theorists such as Hegel, Tocqueville, Mill, Adorno, Arendt, and Foucault, Villa diagnoses the key causes of our democratic discontent and offers solutions to preserve at least some of our democratic hopes. He demonstrates how Americans' preoccupation with a market-based conception of freedom--that is, the personal freedom to choose among different material, moral, and vocational goods--has led to the gradual erosion of meaningful public participation in politics as well as diminished interest in the health of the public realm itself. Villa critically examines, among other topics, the promise and limits of civil society and associational life as sources of democratic renewal; the effects of mass media on the public arena; and the problematic but still necessary ideas of civic competence and democratic maturity. Public Freedom is a passionate and insightful defense of political liberties at a moment in America's history when such freedoms are very much at risk.
How can geckoes walk on the ceiling and basilisk lizards run over water? What are the aerodynamic effects that enable small insects to fly? What are the relative merits of squids' jet-propelled swimming and fishes' tail-powered swimming? Why do horses change gait as they increase speed? What determines our own vertical leap? Recent technical advances have greatly increased researchers' ability to answer these questions with certainty and in detail. This text provides an up-to-date overview of how animals run, walk, jump, crawl, swim, soar, hover, and fly. Excluding only the tiny creatures that use cilia, it covers all animals that power their movements with muscle--from roundworms to whales, clams to elephants, and gnats to albatrosses. The introduction sets out the general rules governing all modes of animal locomotion and considers the performance criteria--such as speed, endurance, and economy--that have shaped their selection. It introduces energetics and optimality as basic principles. The text then tackles each of the major modes by which animals move on land, in water, and through air. It explains the mechanisms involved and the physical and biological forces shaping those mechanisms, paying particular attention to energy costs. Focusing on general principles but extensively discussing a wide variety of individual cases, this is a superb synthesis of current knowledge about animal locomotion. It will be enormously useful to advanced undergraduates, graduate students, and a range of professional biologists, physicists, and engineers.
In recent years, considerable progress has been made in studying algebraic cycles using infinitesimal methods. These methods have usually been applied to Hodge-theoretic constructions such as the cycle class and the Abel-Jacobi map. Substantial advances have also occurred in the infinitesimal theory for subvarieties of a given smooth variety, centered around the normal bundle and the obstructions coming from the normal bundle's first cohomology group. Here, Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups. Bloch's formula is motivated by algebraic K-theory and involves differentials over Q. The theory developed here is characterized by the appearance of arithmetic considerations even in the local infinitesimal theory of algebraic cycles. The map from the tangent space to the Hilbert scheme to the tangent space to algebraic cycles passes through a variant of an interesting construction in commutative algebra due to Angeniol and Lejeune-Jalabert. The link between the theory given here and Bloch's formula arises from an interpretation of the Cousin flasque resolution of differentials over Q as the tangent sequence to the Gersten resolution in algebraic K-theory. The case of 0-cycles on a surface is used for illustrative purposes to avoid undue technical complications.
Contemporary law and public policy often treat human beings as selfish creatures who respond only to punishments and rewards. Yet every day we behave unselfishly--few of us mug the elderly or steal the paper from our neighbor's yard, and many of us go out of our way to help strangers. We nevertheless overlook our own good behavior and fixate on the bad things people do and how we can stop them. In this pathbreaking book, acclaimed law and economics scholar Lynn Stout argues that this focus neglects the crucial role our better impulses could play in society. Rather than lean on the power of greed to shape laws and human behavior, Stout contends that we should rely on the force of conscience. Stout makes the compelling case that conscience is neither a rare nor quirky phenomenon, but a vital force woven into our daily lives. Drawing from social psychology, behavioral economics, and evolutionary biology, Stout demonstrates how social cues--instructions from authorities, ideas about others' selfishness and unselfishness, and beliefs about benefits to others--have a powerful role in triggering unselfish behavior. Stout illustrates how our legal system can use these social cues to craft better laws that encourage more unselfish, ethical behavior in many realms, including politics and business. Stout also shows how our current emphasis on self-interest and incentives may have contributed to the catastrophic political missteps and financial scandals of recent memory by encouraging corrupt and selfish actions, and undermining society's collective moral compass. This book proves that if we care about effective laws and civilized society, the powers of conscience are simply too important for us to ignore.
Fought on what to Westerners was a remote peninsula in northeast Asia, the Korean War was a defining moment of the Cold War. It militarized a conflict that previously had been largely political and economic. And it solidified a series of divisions--of Korea into North and South, of Germany and Europe into East and West, and of China into the mainland and Taiwan--which were to persist for at least two generations. Two of these divisions continue to the present, marking two of the most dangerous political hotspots in the post-Cold War world. The Korean War grew out of the Cold War, it exacerbated the Cold War, and its impact transcended the Cold War. William Stueck presents a fresh analysis of the Korean War's major diplomatic and strategic issues. Drawing on a cache of newly available information from archives in the United States, China, and the former Soviet Union, he provides an interpretive synthesis for scholars and general readers alike. Beginning with the decision to divide Korea in 1945, he analyzes first the origins and then the course of the conflict. He takes into account the balance between the international and internal factors that led to the war and examines the difficulty in containing and eventually ending the fighting. This discussion covers the progression toward Chinese intervention as well as factors that both prolonged the war and prevented it from expanding beyond Korea. Stueck goes on to address the impact of the war on Korean-American relations and evaluates the performance and durability of an American political culture confronting a challenge from authoritarianism abroad. Stueck's crisp yet in-depth analysis combines insightful treatment of past events with a suggestive appraisal of their significance for present and future.
An ideal introduction to Einstein's general theory of relativityThis unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere.Provides an accessible introduction to Einstein's general theory of relativityGuides readers from Newtonian mechanics to the frontiers of modern researchEmphasizes symmetry and the Einstein-Hilbert actionCovers topics not found in standard textbooks on Einstein gravityIncludes interesting historical asidesFeatures numerous exercises and detailed appendicesIdeal for students, physicists, and scientifically minded lay readersSolutions manual (available only to teachers)
Today's standard textbooks treat the theoretical structure of electric and magnetic fields, but their emphasis is on electromagnetic radiation and static-electric and magnetic fields. In this book, Eugene Parker provides advanced graduate students and researchers with a much-needed complement to existing texts, one that discusses the dynamic electromagnetism of the cosmos--that is, the vast magnetic fields that are carried bodily in the swirling ionized gases of stars and galaxies and throughout intergalactic space. Parker is arguably the world's leading authority on solar wind and the effects of magnetic fields in the heliosphere, and his originality of thought and distinctive approach to physics are very much in evidence here. Seeking to enrich discussions in standard texts and correct misconceptions about the dynamics of these large-scale fields, Parker engages readers in a series of "e;conversations"e; that are at times anecdotal and even entertaining without ever sacrificing theoretical rigor. The dynamics he describes represents the Maxwell stresses of the magnetic field working against the pressure and inertia of the bulk motion of ionized gases, characterized in terms of the magnetic field and gas velocity. Parker shows how this dynamic interaction cannot be fully expressed in terms of the electric current and electric field. Conversations on Electric and Magnetic Fields in the Cosmos goes back to basics to explain why classical hydrodynamics and magnetohydrodynamics are inescapable, even in the deepest reaches of space.
An argument against treating our bodies as commoditiesNo one wants to be treated like an object, regarded as an item of property, or put up for sale. Yet many people frame personal autonomy in terms of self-ownership, representing themselves as property owners with the right to do as they wish with their bodies. Others do not use the language of property, but are similarly insistent on the rights of free individuals to decide for themselves whether to engage in commercial transactions for sex, reproduction, or organ sales. Drawing on analyses of rape, surrogacy, and markets in human organs, Our Bodies, Whose Property? challenges notions of freedom based on ownership of our bodies and argues against the normalization of markets in bodily services and parts. Anne Phillips explores the risks associated with metaphors of property and the reasons why the commodification of the body remains problematic.What, she asks, is wrong with thinking of oneself as the owner of one's body? What is wrong with making our bodies available for rent or sale? What, if anything, is the difference between markets in sex, reproduction, or human body parts, and the other markets we commonly applaud? Phillips contends that body markets occupy the outer edges of a continuum that is, in some way, a feature of all labor markets. But she also emphasizes that we all have bodies, and considers the implications of this otherwise banal fact for equality. Bodies remind us of shared vulnerability, alerting us to the common experience of living as embodied beings in the same world.Examining the complex issue of body exceptionalism, Our Bodies, Whose Property? demonstrates that treating the body as property makes human equality harder to comprehend.
This volume studies the dynamics of iterated holomorphic mappings from a Riemann surface to itself, concentrating on the classical case of rational maps of the Riemann sphere. This subject is large and rapidly growing. These lectures are intended to introduce some key ideas in the field, and to form a basis for further study. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry, as well as some basic topics from topology. This third edition contains a number of minor additions and improvements: A historical survey has been added, the definition of Lattes map has been made more inclusive, and the ecalle-Voronin theory of parabolic points is described. The residu iteratif is studied, and the material on two complex variables has been expanded. Recent results on effective computability have been added, and the references have been expanded and updated. Written in his usual brilliant style, the author makes difficult mathematics look easy. This book is a very accessible source for much of what has been accomplished in the field.
Writings by early mathematicians feature language and notations that are quite different from what we're familiar with today. Sourcebooks on the history of mathematics provide some guidance, but what has been lacking is a guide tailored to the needs of readers approaching these writings for the first time. How to Read Historical Mathematics fills this gap by introducing readers to the analytical questions historians ask when deciphering historical texts. Sampling actual writings from the history of mathematics, Benjamin Wardhaugh reveals the questions that will unlock the meaning and significance of a given text--Who wrote it, why, and for whom? What was its author's intended meaning? How did it reach its present form? Is it original or a translation? Why is it important today? Wardhaugh teaches readers to think about what the original text might have looked like, to consider where and when it was written, and to formulate questions of their own. Readers pick up new skills with each chapter, and gain the confidence and analytical sophistication needed to tackle virtually any text in the history of mathematics. Introduces readers to the methods of textual analysis used by historians Uses actual source material as examples Features boxed summaries, discussion questions, and suggestions for further reading Supplements all major sourcebooks in mathematics history Designed for easy reference Ideal for students and teachers
Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University
Just as we learn from, influence, and are influenced by others, our social interactions drive economic growth in cities, regions, and nations--determining where households live, how children learn, and what cities and firms produce. From Neighborhoods to Nations synthesizes the recent economics of social interactions for anyone seeking to understand the contributions of this important area. Integrating theory and empirics, Yannis Ioannides explores theoretical and empirical tools that economists use to investigate social interactions, and he shows how a familiarity with these tools is essential for interpreting findings. The book makes work in the economics of social interactions accessible to other social scientists, including sociologists, political scientists, and urban planning and policy researchers. Focusing on individual and household location decisions in the presence of interactions, Ioannides shows how research on cities and neighborhoods can explain communities' composition and spatial form, as well as changes in productivity, industrial specialization, urban expansion, and national growth. The author examines how researchers address the challenge of separating personal, social, and cultural forces from economic ones. Ioannides provides a toolkit for the next generation of inquiry, and he argues that quantifying the impact of social interactions in specific contexts is essential for grasping their scope and use in informing policy. Revealing how empirical work on social interactions enriches our understanding of cities as engines of innovation and economic growth, From Neighborhoods to Nations carries ramifications throughout the social sciences and beyond.
The atmosphere is critical to climate change. It can amplify shifts in the climate system, and also mitigate them. This primer offers a short, reader-friendly introduction to these atmospheric processes and how they work, written by a leading expert on the subject. Giving readers an overview of key atmospheric processes, David Randall looks at how our climate system receives energy from the sun and sheds it by emitting infrared radiation back into space. The atmosphere regulates these radiative energy flows and transports energy through weather systems such as thunderstorms, monsoons, hurricanes, and winter storms. Randall explains how these processes work, and also how precipitation, cloud formation, and other phase changes of water strongly influence weather and climate. He discusses how atmospheric feedbacks affect climate change, how the large-scale atmospheric circulation works, how predicting the weather and the climate are fundamentally different challenges, and much more. This is the ideal introduction for students and nonspecialists. No prior experience in atmospheric science is needed, only basic college physics. Authoritative and concise, Atmosphere, Clouds, and Climate features a glossary of terms, suggestions for further reading, and easy-to-follow explanations of a few key equations. This accessible primer is the essential introduction to atmospheric processes and the vital role they play in our climate system.
This graduate-level physics textbook provides a comprehensive treatment of the basic principles and phenomena of classical electromagnetism. While many electromagnetism texts use the subject to teach mathematical methods of physics, here the emphasis is on the physical ideas themselves. Anupam Garg distinguishes between electromagnetism in vacuum and that in material media, stressing that the core physical questions are different for each. In vacuum, the focus is on the fundamental content of electromagnetic laws, symmetries, conservation laws, and the implications for phenomena such as radiation and light. In material media, the focus is on understanding the response of the media to imposed fields, the attendant constitutive relations, and the phenomena encountered in different types of media such as dielectrics, ferromagnets, and conductors. The text includes applications to many topical subjects, such as magnetic levitation, plasmas, laser beams, and synchrotrons. Classical Electromagnetism in a Nutshell is ideal for a yearlong graduate course and features more than 300 problems, with solutions to many of the advanced ones. Key formulas are given in both SI and Gaussian units; the book includes a discussion of how to convert between them, making it accessible to adherents of both systems. Offers a complete treatment of classical electromagnetism Emphasizes physical ideas Separates the treatment of electromagnetism in vacuum and material media Presents key formulas in both SI and Gaussian units Covers applications to other areas of physics Includes more than 300 problems
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