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The Christian Right is frequently accused of threatening democratic values. But in The Democratic Virtues of the Christian Right, Jon Shields argues that religious conservatives have in fact dramatically increased and improved democratic participation and that they are far more civil and reasonable than is commonly believed. Shields interviewed leaders of more than thirty Christian Right organizations, observed movement activists in six American cities, and analyzed a wide variety of survey data and movement media. His conclusions are surprising: the Christian Right has reinvigorated American politics and fulfilled New Left ideals by mobilizing a previously alienated group and by refocusing politics on the contentious ideological and moral questions that motivate citizens. Shields also finds that, largely for pragmatic reasons, the vast majority of Christian Right leaders encourage their followers to embrace deliberative norms in the public square, including civility and secular reasoning. At the same time, Shields highlights a tension between participatory and deliberative ideals since Christian Right leaders also nurture moral passions, prejudices, and dogmas to propel their movement. Nonetheless, the Christian Right's other democratic virtues help contain civic extremism, sharpen the thinking of activists, and raise the level and tenor of political debate for all Americans.

This book explores the most recent developments in the theory of planar quasiconformal mappings with a particular focus on the interactions with partial differential equations and nonlinear analysis. It gives a thorough and modern approach to the classical theory and presents important and compelling applications across a spectrum of mathematics: dynamical systems, singular integral operators, inverse problems, the geometry of mappings, and the calculus of variations. It also gives an account of recent advances in harmonic analysis and their applications in the geometric theory of mappings. The book explains that the existence, regularity, and singular set structures for second-order divergence-type equations--the most important class of PDEs in applications--are determined by the mathematics underpinning the geometry, structure, and dimension of fractal sets; moduli spaces of Riemann surfaces; and conformal dynamical systems. These topics are inextricably linked by the theory of quasiconformal mappings. Further, the interplay between them allows the authors to extend classical results to more general settings for wider applicability, providing new and often optimal answers to questions of existence, regularity, and geometric properties of solutions to nonlinear systems in both elliptic and degenerate elliptic settings.

If the financial crisis has taught us anything, it is that Americans save too little, spend too much, and borrow excessively. What can we learn from East Asian and European countries that have fostered enduring cultures of thrift over the past two centuries? Beyond Our Means tells for the first time how other nations aggressively encouraged their citizens to save by means of special savings institutions and savings campaigns. The U.S. government, meanwhile, promoted mass consumption and reliance on credit, culminating in the global financial meltdown. Many economists believe people save according to universally rational calculations, saving the most in their middle years as they plan for retirement, and saving the least in welfare states. In reality, Europeans save at high rates despite generous welfare programs and aging populations. Americans save little, despite weaker social safety nets and a younger population. Tracing the development of such behaviors across three continents from the nineteenth century to today, this book highlights the role of institutions and moral suasion in shaping habits of saving and spending. It shows how the encouragement of thrift was not a relic of indigenous traditions but a modern movement to confront rising consumption. Around the world, messages to save and spend wisely confronted citizens everywhere--in schools, magazines, and novels. At the same time, in America, businesses and government normalized practices of living beyond one's means. Transnational history at its most compelling, Beyond Our Means reveals why some nations save so much and others so little.Some images inside the book are unavailable due to digital copyright restrictions.

Who was the greater economist--Adam Smith or Charles Darwin? The question seems absurd. Darwin, after all, was a naturalist, not an economist. But Robert Frank, New York Times economics columnist and best-selling author of The Economic Naturalist, predicts that within the next century Darwin will unseat Smith as the intellectual founder of economics. The reason, Frank argues, is that Darwin's understanding of competition describes economic reality far more accurately than Smith's. And the consequences of this fact are profound. Indeed, the failure to recognize that we live in Darwin's world rather than Smith's is putting us all at risk by preventing us from seeing that competition alone will not solve our problems.Smith's theory of the invisible hand, which says that competition channels self-interest for the common good, is probably the most widely cited argument today in favor of unbridled competition--and against regulation, taxation, and even government itself. But what if Smith's idea was almost an exception to the general rule of competition? That's what Frank argues, resting his case on Darwin's insight that individual and group interests often diverge sharply. Far from creating a perfect world, economic competition often leads to "e;arms races,"e; encouraging behaviors that not only cause enormous harm to the group but also provide no lasting advantages for individuals, since any gains tend to be relative and mutually offsetting. The good news is that we have the ability to tame the Darwin economy. The best solution is not to prohibit harmful behaviors but to tax them. By doing so, we could make the economic pie larger, eliminate government debt, and provide better public services, all without requiring painful sacrifices from anyone. That's a bold claim, Frank concedes, but it follows directly from logic and evidence that most people already accept.

Magical Mathematics reveals the secrets of fun-to-perform card tricks-and the profound mathematical ideas behind them-that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge.Diaconis and Graham tell the stories-and reveal the best tricks-of the eccentric and brilliant inventors of mathematical magic. The book exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card Monte, traces the history of mathematical magic back to the oldest mathematical trick-and much more.

The new experiments underway at the Large Hadron Collider at CERN in Switzerland may significantly change our understanding of elementary particle physics and, indeed, the universe. This textbook provides a cutting-edge introduction to the field, preparing first-year graduate students and advanced undergraduates to understand and work in LHC physics at the dawn of what promises to be an era of experimental and theoretical breakthroughs. Christopher Tully, an active participant in the work at the LHC, explains some of the most recent experiments in the field. But this book, which emerged from a course at Princeton University, also provides a comprehensive understanding of the subject. It explains every elementary particle physics process--whether it concerns nonaccelerator experiments, particle astrophysics, or the description of the early universe--as a gauge interaction coupled to the known building blocks of matter. Designed for a one-semester course that is complementary to a course in quantum field theory, the book gives special attention to high-energy collider physics, and includes a detailed discussion of the state of the search for the Higgs boson. Introduces elementary particle processes relevant to astrophysics, collider physics, and the physics of the early universe Covers experimental methods, detectors, and measurements Features a detailed discussion of the Higgs boson search Includes many challenging exercises Professors: A supplementary Instructor's Manual which provides solutions for Chapters 1-3 of the textbook, is available as a PDF. It is restricted to teachers using the text in courses. To obtain a copy, please email your request to: Ingrid_Gnerlich "e;at"e; press.princeton.edu.

Asset Pricing Theory is an advanced textbook for doctoral students and researchers that offers a modern introduction to the theoretical and methodological foundations of competitive asset pricing. Costis Skiadas develops in depth the fundamentals of arbitrage pricing, mean-variance analysis, equilibrium pricing, and optimal consumption/portfolio choice in discrete settings, but with emphasis on geometric and martingale methods that facilitate an effortless transition to the more advanced continuous-time theory. Among the book's many innovations are its use of recursive utility as the benchmark representation of dynamic preferences, and an associated theory of equilibrium pricing and optimal portfolio choice that goes beyond the existing literature. Asset Pricing Theory is complete with extensive exercises at the end of every chapter and comprehensive mathematical appendixes, making this book a self-contained resource for graduate students and academic researchers, as well as mathematically sophisticated practitioners seeking a deeper understanding of concepts and methods on which practical models are built. Covers in depth the modern theoretical foundations of competitive asset pricing and consumption/portfolio choice Uses recursive utility as the benchmark preference representation in dynamic settings Sets the foundations for advanced modeling using geometric arguments and martingale methodology Features self-contained mathematical appendixes Includes extensive end-of-chapter exercises

Nuclear Physics in a Nutshell provides a clear, concise, and up-to-date overview of the atomic nucleus and the theories that seek to explain it. Bringing together a systematic explanation of hadrons, nuclei, and stars for the first time in one volume, Carlos A. Bertulani provides the core material needed by graduate and advanced undergraduate students of physics to acquire a solid understanding of nuclear and particle science. Nuclear Physics in a Nutshell is the definitive new resource for anyone considering a career in this dynamic field. The book opens by setting nuclear physics in the context of elementary particle physics and then shows how simple models can provide an understanding of the properties of nuclei, both in their ground states and excited states, and also of the nature of nuclear reactions. It then describes: nuclear constituents and their characteristics; nuclear interactions; nuclear structure, including the liquid-drop model approach, and the nuclear shell model; and recent developments such as the nuclear mean-field and the nuclear physics of very light nuclei, nuclear reactions with unstable nuclear beams, and the role of nuclear physics in energy production and nucleosynthesis in stars. Throughout, discussions of theory are reinforced with examples that provide applications, thus aiding students in their reading and analysis of current literature. Each chapter closes with problems, and appendixes address supporting technical topics.

With the collapse of the Bretton Woods system, any pretense of a connection of the world's currencies to any real commodity has been abandoned. Yet since the 1980s, most central banks have abandoned money-growth targets as practical guidelines for monetary policy as well. How then can pure "e;fiat"e; currencies be managed so as to create confidence in the stability of national units of account? Interest and Prices seeks to provide theoretical foundations for a rule-based approach to monetary policy suitable for a world of instant communications and ever more efficient financial markets. In such a world, effective monetary policy requires that central banks construct a conscious and articulate account of what they are doing. Michael Woodford reexamines the foundations of monetary economics, and shows how interest-rate policy can be used to achieve an inflation target in the absence of either commodity backing or control of a monetary aggregate. The book further shows how the tools of modern macroeconomic theory can be used to design an optimal inflation-targeting regime--one that balances stabilization goals with the pursuit of price stability in a way that is grounded in an explicit welfare analysis, and that takes account of the "e;New Classical"e; critique of traditional policy evaluation exercises. It thus argues that rule-based policymaking need not mean adherence to a rigid framework unrelated to stabilization objectives for the sake of credibility, while at the same time showing the advantages of rule-based over purely discretionary policymaking.

How should firms decide whether and when to invest in new capital equipment, additions to their workforce, or the development of new products? Why have traditional economic models of investment failed to explain the behavior of investment spending in the United States and other countries? In this book, Avinash Dixit and Robert Pindyck provide the first detailed exposition of a new theoretical approach to the capital investment decisions of firms, stressing the irreversibility of most investment decisions, and the ongoing uncertainty of the economic environment in which these decisions are made. In so doing, they answer important questions about investment decisions and the behavior of investment spending. This new approach to investment recognizes the option value of waiting for better (but never complete) information. It exploits an analogy with the theory of options in financial markets, which permits a much richer dynamic framework than was possible with the traditional theory of investment. The authors present the new theory in a clear and systematic way, and consolidate, synthesize, and extend the various strands of research that have come out of the theory. Their book shows the importance of the theory for understanding investment behavior of firms; develops the implications of this theory for industry dynamics and for government policy concerning investment; and shows how the theory can be applied to specific industries and to a wide variety of business problems.

In Investors and Markets, Nobel Prize-winning financial economist William Sharpe shows that investment professionals cannot make good portfolio choices unless they understand the determinants of asset prices. But until now asset-price analysis has largely been inaccessible to everyone except PhDs in financial economics. In this book, Sharpe changes that by setting out his state-of-the-art approach to asset pricing in a nonmathematical form that will be comprehensible to a broad range of investment professionals, including investment advisors, money managers, and financial analysts. Bridging the gap between the best financial theory and investment practice, Investors and Markets will help investment professionals make better portfolio choices by being smarter about asset prices. Based on Sharpe's Princeton Lectures in Finance, Investors and Markets presents a method of analyzing asset prices that accounts for the real behavior of investors. Sharpe makes this technique accessible through a new, one-of-a-kind computer program (available for free on his Web site, at http://www.stanford.edu/~wfsharpe/apsim/index.html) that enables users to create virtual markets, setting the starting conditions and then allowing trading until equilibrium is reached and trading stops. Program users can then analyze the final portfolios and asset prices, see expected returns, and measure risk. In addition to popularizing the most sophisticated form of asset-price analysis, Investors and Markets summarizes much of Sharpe's most important previous work and reflects a lifetime of thinking about investing by one of the leading minds in financial economics. Any serious investment professional will benefit from Sharpe's unique insights.

Neoclassical Finance provides a concise and powerful account of the underlying principles of modern finance, drawing on a generation of theoretical and empirical advances in the field. Stephen Ross developed the no arbitrage principle, tying asset pricing to the simple proposition that there are no free lunches in financial markets, and jointly with John Cox he developed the related concept of risk-neutral pricing. In this book Ross makes a strong case that these concepts are the fundamental pillars of modern finance and, in particular, of market efficiency. In an efficient market prices reflect the information possessed by the market and, as a consequence, trading schemes using commonly available information to beat the market are doomed to fail. By stark contrast, the currently popular stance offered by behavioral finance, fueled by a number of apparent anomalies in the financial markets, regards market prices as subject to the psychological whims of investors. But without any appeal to psychology, Ross shows that neoclassical theory provides a simple and rich explanation that resolves many of the anomalies on which behavioral finance has been fixated. Based on the inaugural Princeton Lectures in Finance, sponsored by the Bendheim Center for Finance of Princeton University, this elegant book represents a major contribution to the ongoing debate on market efficiency, and serves as a useful primer on the fundamentals of finance for both scholars and practitioners.

Financial markets respond to information virtually instantaneously. Each new piece of information influences the prices of assets and their correlations with each other, and as the system rapidly changes, so too do correlation forecasts. This fast-evolving environment presents econometricians with the challenge of forecasting dynamic correlations, which are essential inputs to risk measurement, portfolio allocation, derivative pricing, and many other critical financial activities. In Anticipating Correlations, Nobel Prize-winning economist Robert Engle introduces an important new method for estimating correlations for large systems of assets: Dynamic Conditional Correlation (DCC). Engle demonstrates the role of correlations in financial decision making, and addresses the economic underpinnings and theoretical properties of correlations and their relation to other measures of dependence. He compares DCC with other correlation estimators such as historical correlation, exponential smoothing, and multivariate GARCH, and he presents a range of important applications of DCC. Engle presents the asymmetric model and illustrates it using a multicountry equity and bond return model. He introduces the new FACTOR DCC model that blends factor models with the DCC to produce a model with the best features of both, and illustrates it using an array of U.S. large-cap equities. Engle shows how overinvestment in collateralized debt obligations, or CDOs, lies at the heart of the subprime mortgage crisis--and how the correlation models in this book could have foreseen the risks. A technical chapter of econometric results also is included. Based on the Econometric and Tinbergen Institutes Lectures, Anticipating Correlations puts powerful new forecasting tools into the hands of researchers, financial analysts, risk managers, derivative quants, and graduate students.

Many problems in the sciences and engineering can be rephrased as optimization problems on matrix search spaces endowed with a so-called manifold structure. This book shows how to exploit the special structure of such problems to develop efficient numerical algorithms. It places careful emphasis on both the numerical formulation of the algorithm and its differential geometric abstraction--illustrating how good algorithms draw equally from the insights of differential geometry, optimization, and numerical analysis. Two more theoretical chapters provide readers with the background in differential geometry necessary to algorithmic development. In the other chapters, several well-known optimization methods such as steepest descent and conjugate gradients are generalized to abstract manifolds. The book provides a generic development of each of these methods, building upon the material of the geometric chapters. It then guides readers through the calculations that turn these geometrically formulated methods into concrete numerical algorithms. The state-of-the-art algorithms given as examples are competitive with the best existing algorithms for a selection of eigenspace problems in numerical linear algebra. Optimization Algorithms on Matrix Manifolds offers techniques with broad applications in linear algebra, signal processing, data mining, computer vision, and statistical analysis. It can serve as a graduate-level textbook and will be of interest to applied mathematicians, engineers, and computer scientists.

The past twenty years have seen great theoretical and empirical advances in the field of corporate finance. Whereas once the subject addressed mainly the financing of corporations--equity, debt, and valuation--today it also embraces crucial issues of governance, liquidity, risk management, relationships between banks and corporations, and the macroeconomic impact of corporations. However, this progress has left in its wake a jumbled array of concepts and models that students are often hard put to make sense of. Here, one of the world's leading economists offers a lucid, unified, and comprehensive introduction to modern corporate finance theory. Jean Tirole builds his landmark book around a single model, using an incentive or contract theory approach. Filling a major gap in the field, The Theory of Corporate Finance is an indispensable resource for graduate and advanced undergraduate students as well as researchers of corporate finance, industrial organization, political economy, development, and macroeconomics. Tirole conveys the organizing principles that structure the analysis of today's key management and public policy issues, such as the reform of corporate governance and auditing; the role of private equity, financial markets, and takeovers; the efficient determination of leverage, dividends, liquidity, and risk management; and the design of managerial incentive packages. He weaves empirical studies into the book's theoretical analysis. And he places the corporation in its broader environment, both microeconomic and macroeconomic, and examines the two-way interaction between the corporate environment and institutions. Setting a new milestone in the field, The Theory of Corporate Finance will be the authoritative text for years to come.

The past twenty years have seen an extraordinary growth in the use of quantitative methods in financial markets. Finance professionals now routinely use sophisticated statistical techniques in portfolio management, proprietary trading, risk management, financial consulting, and securities regulation. This graduate-level textbook is intended for PhD students, advanced MBA students, and industry professionals interested in the econometrics of financial modeling. The book covers the entire spectrum of empirical finance, including: the predictability of asset returns, tests of the Random Walk Hypothesis, the microstructure of securities markets, event analysis, the Capital Asset Pricing Model and the Arbitrage Pricing Theory, the term structure of interest rates, dynamic models of economic equilibrium, and nonlinear financial models such as ARCH, neural networks, statistical fractals, and chaos theory. Each chapter develops statistical techniques within the context of a particular financial application. This exciting new text contains a unique and accessible combination of theory and practice, bringing state-of-the-art statistical techniques to the forefront of financial applications. Each chapter also includes a discussion of recent empirical evidence, for example, the rejection of the Random Walk Hypothesis, as well as problems designed to help readers incorporate what they have read into their own applications.

In this pathbreaking book, Amy Zegart provides the first scholarly examination of the intelligence failures that preceded September 11. Until now, those failures have been attributed largely to individual mistakes. But Zegart shows how and why the intelligence system itself left us vulnerable. Zegart argues that after the Cold War ended, the CIA and FBI failed to adapt to the rise of terrorism. She makes the case by conducting painstaking analysis of more than three hundred intelligence reform recommendations and tracing the history of CIA and FBI counterterrorism efforts from 1991 to 2001, drawing extensively from declassified government documents and interviews with more than seventy high-ranking government officials. She finds that political leaders were well aware of the emerging terrorist danger and the urgent need for intelligence reform, but failed to achieve the changes they sought. The same forces that have stymied intelligence reform for decades are to blame: resistance inside U.S. intelligence agencies, the rational interests of politicians and career bureaucrats, and core aspects of our democracy such as the fragmented structure of the federal government. Ultimately failures of adaptation led to failures of performance. Zegart reveals how longstanding organizational weaknesses left unaddressed during the 1990s prevented the CIA and FBI from capitalizing on twenty-three opportunities to disrupt the September 11 plot. Spying Blind is a sobering account of why two of America's most important intelligence agencies failed to adjust to new threats after the Cold War, and why they are unlikely to adapt in the future.

At the height of the Cold War, the U.S. government enlisted the aid of a select group of psychologists, sociologists, and political scientists to blueprint enemy behavior. Not only did these academics bring sophisticated concepts to what became a project of demonizing communist societies, but they influenced decision-making in the map rooms, prison camps, and battlefields of the Korean War and in Vietnam. With verve and insight, Ron Robin tells the intriguing story of the rise of behavioral scientists in government and how their potentially dangerous, "e;American"e; assumptions about human behavior would shape U.S. views of domestic disturbances and insurgencies in Third World countries for decades to come. Based at government-funded think tanks, the experts devised provocative solutions for key Cold War dilemmas, including psychological warfare projects, negotiation strategies during the Korean armistice, and morale studies in the Vietnam era. Robin examines factors that shaped the scientists' thinking and explores their psycho-cultural and rational choice explanations for enemy behavior. He reveals how the academics' intolerance for complexity ultimately reduced the nation's adversaries to borderline psychotics, ignored revolutionary social shifts in post-World War II Asia, and promoted the notion of a maniacal threat facing the United States. Putting the issue of scientific validity aside, Robin presents the first extensive analysis of the intellectual underpinnings of Cold War behavioral sciences in a book that will be indispensable reading for anyone interested in the era and its legacy.

The idea of a balance of nature has been a dominant part of Western philosophy since before Aristotle, and it persists in the public imagination and even among some ecologists today. In this lively and thought-provoking book, John Kricher demonstrates that nature in fact is not in balance, nor has it ever been at any stage in Earth's history. He explains how and why this notion of a natural world in balance has endured for so long, and he shows why, in these times of extraordinary human influence on the planet's ecosystems, it is critical that we accept and understand that evolution is a fact of life, and that ecology is far more dynamic than we ever imagined. The Balance of Nature traces the fascinating history of the science of ecology and evolutionary biology, from the discipline's early innovators to the advent of Darwin and evolution, to the brilliant and inquisitive scientific minds of today. Blending insights and entertaining stories from his own remarkable life in science, Kricher reveals how evolution is a powerful engine that drives ecological change, how nature is constantly in flux and, in effect, quite naturally out of balance--and how notions to the contrary are misguided and ultimately hazardous to us all. The Balance of Nature forcefully argues that an understanding of the dynamic nature of ecology and evolution is essential to formulating policies of environmental ethics to guide humanity toward a more responsible stewardship of our planet's ecosystems.

Why doesn't your home page appear on the first page of search results, even when you query your own name? How do other web pages always appear at the top? What creates these powerful rankings? And how? The first book ever about the science of web page rankings, Google's PageRank and Beyond supplies the answers to these and other questions and more. The book serves two very different audiences: the curious science reader and the technical computational reader. The chapters build in mathematical sophistication, so that the first five are accessible to the general academic reader. While other chapters are much more mathematical in nature, each one contains something for both audiences. For example, the authors include entertaining asides such as how search engines make money and how the Great Firewall of China influences research. The book includes an extensive background chapter designed to help readers learn more about the mathematics of search engines, and it contains several MATLAB codes and links to sample web data sets. The philosophy throughout is to encourage readers to experiment with the ideas and algorithms in the text. Any business seriously interested in improving its rankings in the major search engines can benefit from the clear examples, sample code, and list of resources provided. Many illustrative examples and entertaining asides MATLAB code Accessible and informal style Complete and self-contained section for mathematics review

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many important theorems, examples, and techniques as possible, quickly and directly, while at the same time giving full details and keeping the text nearly self-contained. The book is suitable for graduate students. A Primer on Mapping Class Groups begins by explaining the main group-theoretical properties of Mod(S), from finite generation by Dehn twists and low-dimensional homology to the Dehn-Nielsen-Baer theorem. Along the way, central objects and tools are introduced, such as the Birman exact sequence, the complex of curves, the braid group, the symplectic representation, and the Torelli group. The book then introduces Teichmuller space and its geometry, and uses the action of Mod(S) on it to prove the Nielsen-Thurston classification of surface homeomorphisms. Topics include the topology of the moduli space of Riemann surfaces, the connection with surface bundles, pseudo-Anosov theory, and Thurston's approach to the classification.

This book provides a wide variety of state-space--based numerical algorithms for the synthesis of feedback algorithms for linear systems with input saturation. Specifically, it addresses and solves the anti-windup problem, presenting the objectives and terminology of the problem, the mathematical tools behind anti-windup algorithms, and more than twenty algorithms for anti-windup synthesis, illustrated with examples. Luca Zaccarian and Andrew Teel's modern method--combining a state-space approach with algorithms generated by solving linear matrix inequalities--treats MIMO and SISO systems with equal ease. The book, aimed at control engineers as well as graduate students, ranges from very simple anti-windup construction to sophisticated anti-windup algorithms for nonlinear systems. Describes the fundamental objectives and principles behind anti-windup synthesis for control systems with actuator saturation Takes a modern, state-space approach to synthesis that applies to both SISO and MIMO systems Presents algorithms as linear matrix inequalities that can be readily solved with widely available software Explains mathematical concepts that motivate synthesis algorithms Uses nonlinear performance curves to quantify performance relative to disturbances of varying magnitudes Includes anti-windup algorithms for a class of Euler-Lagrange nonlinear systems Traces the history of anti-windup research through an extensive annotated bibliography

Weyl group multiple Dirichlet series are generalizations of the Riemann zeta function. Like the Riemann zeta function, they are Dirichlet series with analytic continuation and functional equations, having applications to analytic number theory. By contrast, these Weyl group multiple Dirichlet series may be functions of several complex variables and their groups of functional equations may be arbitrary finite Weyl groups. Furthermore, their coefficients are multiplicative up to roots of unity, generalizing the notion of Euler products. This book proves foundational results about these series and develops their combinatorics. These interesting functions may be described as Whittaker coefficients of Eisenstein series on metaplectic groups, but this characterization doesn't readily lead to an explicit description of the coefficients. The coefficients may be expressed as sums over Kashiwara crystals, which are combinatorial analogs of characters of irreducible representations of Lie groups. For Cartan Type A, there are two distinguished descriptions, and if these are known to be equal, the analytic properties of the Dirichlet series follow. Proving the equality of the two combinatorial definitions of the Weyl group multiple Dirichlet series requires the comparison of two sums of products of Gauss sums over lattice points in polytopes. Through a series of surprising combinatorial reductions, this is accomplished. The book includes expository material about crystals, deformations of the Weyl character formula, and the Yang-Baxter equation.

Discrete geometry is a relatively new development in pure mathematics, while computational geometry is an emerging area in applications-driven computer science. Their intermingling has yielded exciting advances in recent years, yet what has been lacking until now is an undergraduate textbook that bridges the gap between the two. Discrete and Computational Geometry offers a comprehensive yet accessible introduction to this cutting-edge frontier of mathematics and computer science. This book covers traditional topics such as convex hulls, triangulations, and Voronoi diagrams, as well as more recent subjects like pseudotriangulations, curve reconstruction, and locked chains. It also touches on more advanced material, including Dehn invariants, associahedra, quasigeodesics, Morse theory, and the recent resolution of the Poincare conjecture. Connections to real-world applications are made throughout, and algorithms are presented independently of any programming language. This richly illustrated textbook also features numerous exercises and unsolved problems. The essential introduction to discrete and computational geometry Covers traditional topics as well as new and advanced material Features numerous full-color illustrations, exercises, and unsolved problems Suitable for sophomores in mathematics, computer science, engineering, or physics Rigorous but accessible An online solutions manual is available (for teachers only). To obtain access, please e-mail: Vickie_Kearn@press.princeton.edu

Computational science is fundamentally changing how technological questions are addressed. The design of aircraft, automobiles, and even racing sailboats is now done by computational simulation. The mathematical foundation of this new approach is numerical analysis, which studies algorithms for computing expressions defined with real numbers. Emphasizing the theory behind the computation, this book provides a rigorous and self-contained introduction to numerical analysis and presents the advanced mathematics that underpin industrial software, including complete details that are missing from most textbooks. Using an inquiry-based learning approach, Numerical Analysis is written in a narrative style, provides historical background, and includes many of the proofs and technical details in exercises. Students will be able to go beyond an elementary understanding of numerical simulation and develop deep insights into the foundations of the subject. They will no longer have to accept the mathematical gaps that exist in current textbooks. For example, both necessary and sufficient conditions for convergence of basic iterative methods are covered, and proofs are given in full generality, not just based on special cases. The book is accessible to undergraduate mathematics majors as well as computational scientists wanting to learn the foundations of the subject. Presents the mathematical foundations of numerical analysis Explains the mathematical details behind simulation software Introduces many advanced concepts in modern analysis Self-contained and mathematically rigorous Contains problems and solutions in each chapter Excellent follow-up course to Principles of Mathematical Analysis by Rudin

This full-color illustrated textbook offers the first comprehensive introduction to all major aspects of tropical ecology. It explains why the world's tropical rain forests are so universally rich in species, what factors may contribute to high species richness, how nutrient cycles affect rain forest ecology, and how ecologists investigate the complex interrelationships among flora and fauna. It covers tropical montane ecology, riverine ecosystems, savanna, dry forest--and more.Tropical Ecology begins with a historical overview followed by a sweeping discussion of biogeography and evolution, and then introduces students to the unique and complex structure of tropical rain forests. Other topics include the processes that influence everything from species richness to rates of photosynthesis: how global climate change may affect rain forest characteristics and function; how fragmentation of ecosystems affects species richness and ecological processes; human ecology in the tropics; biodiversity; and conservation of tropical ecosystems and species.Drawing on real-world examples taken from actual research, Tropical Ecology is the best textbook on the subject for advanced undergraduates and graduate students.Offers the first comprehensive introduction to tropical ecologyDescribes all the major kinds of tropical terrestrial ecosystemsExplains species diversity, evolutionary processes, and coevolutionary interactionsFeatures numerous color illustrations and examples from actual researchCovers global warming, deforestation, reforestation, fragmentation, and conservationThe essential textbook for advanced undergraduates and graduate studentsSuitable for courses with a field component Leading universities that have adopted this book include:Biola UniversityBucknell UniversityCalifornia State University, FullertonColorado State University - Fort CollinsFrancis Marion UniversityMichigan State UniversityMiddlebury CollegeNorthern Kentucky UniversityOhio Wesleyan UniversitySt. Mary's College of MarylandSyracuse UniversityTulane UniversityUniversity of California, Santa CruzUniversity of Central FloridaUniversity of CincinnatiUniversity of FloridaUniversity of MissouriUniversity of New MexicoUniversity of North Carolina at Chapel HillUniversity of the West Indies

Pollination and Floral Ecology is the most comprehensive single-volume reference to all aspects of pollination biology--and the first fully up-to-date resource of its kind to appear in decades. This beautifully illustrated book describes how flowers use colors, shapes, and scents to advertise themselves; how they offer pollen and nectar as rewards; and how they share complex interactions with beetles, birds, bats, bees, and other creatures. The ecology of these interactions is covered in depth, including the timing and patterning of flowering, competition among flowering plants to attract certain visitors and deter others, and the many ways plants and animals can cheat each other. Pollination and Floral Ecology pays special attention to the prevalence of specialization and generalization in animal-flower interactions, and examines how a lack of distinction between casual visitors and true pollinators can produce misleading conclusions about flower evolution and animal-flower mutualism. This one-of-a-kind reference also gives insights into the vital pollination services that animals provide to crops and native flora, and sets these issues in the context of today's global pollination crisis. Provides the most up-to-date resource on pollination and floral ecology Describes flower advertising features and rewards, foraging and learning by flower-visiting animals, behaviors of generalist and specialist pollinators--and more Examines the ecology and evolution of animal-flower interactions, from the molecular to macroevolutionary scale Features hundreds of color and black-and-white illustrations

Many developing countries have a history of highly centralized governments. Since the late 1980s, a large number of these governments have introduced decentralization to increase democracy and improve services, especially in small communities far from capital cities. In Going Local, an unprecedented study of the effects of decentralization on thirty Mexican municipalities, Merilee Grindle describes how local governments respond when they are assigned new responsibilities and resources under decentralization policies. She explains why decentralization leads to better local governments in some cases--and why it fails to in others. Combining quantitative and qualitative methods, Grindle examines data based on a random sample of Mexican municipalities--and ventures into town halls to follow public officials as they seek to manage a variety of tasks amid conflicting pressures and new expectations. Decentralization, she discovers, is a double-edged sword. While it allows public leaders to make significant reforms quickly, institutional weaknesses undermine the durability of change, and legacies of the past continue to affect how public problems are addressed. Citizens participate, but they are more successful at extracting resources from government than in holding local officials and agencies accountable for their actions. The benefits of decentralization regularly predicted by economists, political scientists, and management specialists are not inevitable, she argues. Rather, they are strongly influenced by the quality of local leadership and politics.

Understanding the mechanisms driving biological diversity remains a central problem in ecology and evolutionary biology. Traditional explanations assume that differences in selection pressures lead to different adaptations in geographically separated locations. This book takes a different approach and explores adaptive diversification--diversification rooted in ecological interactions and frequency-dependent selection. In any ecosystem, birth and death rates of individuals are affected by interactions with other individuals. What is an advantageous phenotype therefore depends on the phenotype of other individuals, and it may often be best to be ecologically different from the majority phenotype. Such rare-type advantage is a hallmark of frequency-dependent selection and opens the scope for processes of diversification that require ecological contact rather than geographical isolation. Michael Doebeli investigates adaptive diversification using the mathematical framework of adaptive dynamics. Evolutionary branching is a paradigmatic feature of adaptive dynamics that serves as a basic metaphor for adaptive diversification, and Doebeli explores the scope of evolutionary branching in many different ecological scenarios, including models of coevolution, cooperation, and cultural evolution. He also uses alternative modeling approaches. Stochastic, individual-based models are particularly useful for studying adaptive speciation in sexual populations, and partial differential equation models confirm the pervasiveness of adaptive diversification. Showing that frequency-dependent interactions are an important driver of biological diversity, Adaptive Diversification provides a comprehensive theoretical treatment of adaptive diversification.

More than the citizens of most countries, Americans are either religious or in jail--or both. But what does it mean when imprisonment and evangelization actually go hand in hand, or at least appear to? What do "e;faith-based"e; prison programs mean for the constitutional separation of church and state, particularly when prisoners who participate get special privileges? In Prison Religion, law and religion scholar Winnifred Fallers Sullivan takes up these and other important questions through a close examination of a 2005 lawsuit challenging the constitutionality of a faith-based residential rehabilitation program in an Iowa state prison. Americans United for the Separation of Church and State v. Prison Fellowship Ministries, a trial in which Sullivan served as an expert witness, centered on the constitutionality of allowing religious organizations to operate programs in state-run facilities. Using the trial as a case study, Sullivan argues that separation of church and state is no longer possible. Religious authority has shifted from institutions to individuals, making it difficult to define religion, let alone disentangle it from the state. Prison Religion casts new light on church-state law, the debate over government-funded faith-based programs, and the predicament of prisoners who have precious little choice about what kind of rehabilitation they receive, if they are offered any at all.