Here is an unsurpassed resource-important accounts of a variety of dynamic systems topicsrelated to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface ... and explicitdetermination of modular function growth near a real point .. . applications of number theoryto dynamical systems and applications of mathematical physics to number theory . ..tributes to the often-unheralded pioneers in the field ... an examination of completely integrableand exactly solvable physical models .. . and much more!Classical and Quantum Models and Arithmetic Problems is certainly a major source of information,advancing the studies of number theorists, algebraists, and mathematical physicistsinterested in complex mathematical properties of quantum field theory, statistical mechanics,and dynamic systems. Moreover, the volume is a superior source of supplementary readingfor graduate-level courses in dynamic systems and application of number theory .
This volume marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Beginning in 1982, the NYNTS has tried to present a broad spectrum of research in number theory and related fields of mathematics, from physics to geometry to combinatorics and computer science. The list of seminar speakers includes not only Fields Medallists and other established researchers, but also many other younger and less well known mathematicians whose theorems are significant and whose work may become the next big thing in number theory.
One of art's purest challenges is to translate a human being into words. The New Yorker has met this challenge more successfully and more originally than any other modern American journal. It has indelibly shaped the genre known as the Profile. Starting with light-fantastic evocations of glamorous and idiosyncratic figures of the twenties and thirties, such as Henry Luce and Isadora Duncan, and continuing to the present, with complex pictures of such contemporaries as Mikhail Baryshnikov and Richard Pryor, this collection of New Yorker Profiles presents readers with a portrait gallery of some of the most prominent figures of the twentieth century. These Profiles are literary-journalistic investigations into character and accomplishment, motive and madness, beauty and ugliness, and are unrivalled in their range, their variety of style, and their embrace of humanity. Including these twenty-eight profiles: “Mr. Hunter’s Grave” by Joseph Mitchell “Secrets of the Magus” by Mark Singer “Isadora” by Janet Flanner “The Soloist” by Joan Acocella “Time . . . Fortune . . . Life . . . Luce” by Walcott Gibbs “Nobody Better, Better Than Nobody” by Ian Frazier “The Mountains of Pi” by Richard Preston “Covering the Cops” by Calvin Trillin “Travels in Georgia” by John McPhee “The Man Who Walks on Air” by Calvin Tomkins “A House on Gramercy Park” by Geoffrey Hellman “How Do You Like It Now, Gentlemen?” by Lillian Ross “The Education of a Prince” by Alva Johnston “White Like Me” by Henry Louis Gates, Jr. “Wunderkind” by A. J. Liebling “Fifteen Years of The Salto Mortale” by Kenneth Tynan “The Duke in His Domain” by Truman Capote “A Pryor Love” by Hilton Als “Gone for Good” by Roger Angell “Lady with a Pencil” by Nancy Franklin “Dealing with Roseanne” by John Lahr “The Coolhunt” by Malcolm Gladwell “Man Goes to See a Doctor” by Adam Gopnik “Show Dog” by Susan Orlean “Forty-One False Starts” by Janet Malcolm “The Redemption” by Nicholas Lemann “Gore Without a Script” by Nicholas Lemann “Delta Nights” by Bill Buford
One of art's purest challenges is to translate a human being into words. The New Yorker has met this challenge more successfully and more originally than any other modern American journal. It has indelibly shaped the genre known as the Profile. Starting with light-fantastic evocations of glamorous and idiosyncratic figures of the twenties and thirties, such as Henry Luce and Isadora Duncan, and continuing to the present, with complex pictures of such contemporaries as Mikhail Baryshnikov and Richard Pryor, this collection of New Yorker Profiles presents readers with a portrait gallery of some of the most prominent figures of the twentieth century. These Profiles are literary-journalistic investigations into character and accomplishment, motive and madness, beauty and ugliness, and are unrivalled in their range, their variety of style, and their embrace of humanity. Including these twenty-eight profiles: “Mr. Hunter’s Grave” by Joseph Mitchell “Secrets of the Magus” by Mark Singer “Isadora” by Janet Flanner “The Soloist” by Joan Acocella “Time . . . Fortune . . . Life . . . Luce” by Walcott Gibbs “Nobody Better, Better Than Nobody” by Ian Frazier “The Mountains of Pi” by Richard Preston “Covering the Cops” by Calvin Trillin “Travels in Georgia” by John McPhee “The Man Who Walks on Air” by Calvin Tomkins “A House on Gramercy Park” by Geoffrey Hellman “How Do You Like It Now, Gentlemen?” by Lillian Ross “The Education of a Prince” by Alva Johnston “White Like Me” by Henry Louis Gates, Jr. “Wunderkind” by A. J. Liebling “Fifteen Years of The Salto Mortale” by Kenneth Tynan “The Duke in His Domain” by Truman Capote “A Pryor Love” by Hilton Als “Gone for Good” by Roger Angell “Lady with a Pencil” by Nancy Franklin “Dealing with Roseanne” by John Lahr “The Coolhunt” by Malcolm Gladwell “Man Goes to See a Doctor” by Adam Gopnik “Show Dog” by Susan Orlean “Forty-One False Starts” by Janet Malcolm “The Redemption” by Nicholas Lemann “Gore Without a Script” by Nicholas Lemann “Delta Nights” by Bill Buford
This book contains a compendium of 25 papers published since the 1970s dealing with pi and associated topics of mathematics and computer science. The collection begins with a Foreword by Bruce Berndt. Each contribution is preceded by a brief summary of its content as well as a short key word list indicating how the content relates to others in the collection. The volume includes articles on actual computations of pi, articles on mathematical questions related to pi (e.g., “Is pi normal?”), articles presenting new and often amazing techniques for computing digits of pi (e.g., the “BBP” algorithm for pi, which permits one to compute an arbitrary binary digit of pi without needing to compute any of the digits that came before), papers presenting important fundamental mathematical results relating to pi, and papers presenting new, high-tech techniques for analyzing pi (i.e., new graphical techniques that permit one to visually see if pi and other numbers are “normal”). This volume is a companion to Pi: A Source Book whose third edition released in 2004. The present collection begins with 2 papers from 1976, published by Eugene Salamin and Richard Brent, which describe “quadratically convergent” algorithms for pi and other basic mathematical functions, derived from some mathematical work of Gauss. Bailey and Borwein hold that these two papers constitute the beginning of the modern era of computational mathematics. This time period (1970s) also corresponds with the introduction of high-performance computer systems (supercomputers), which since that time have increased relentlessly in power, by approximately a factor of 100,000,000, advancing roughly at the same rate as Moore’s Law of semiconductor technology. This book may be of interest to a wide range of mathematical readers; some articles cover more advanced research questions suitable for active researchers in the field, but several are highly accessible to undergraduate mathematics students.
This book is for a general scientific and engineering audience as a guide to current ideas, methods, and models for stochastic modeling of microstructures. It is a reference for professionals in material modeling, mechanical engineering, materials science, chemical, civil, environmental engineering and applied mathematics.
This ambitious book offers a clear and unified framework for understanding political change across Latin America. The impact of U.S. hegemony and the global economic system on the region is widely known, and scholars and advocates alike point to Latin America's vulnerability in the face of external forces. In spite of such foreign pressure, however, individual countries continue to chart their own courses, displaying considerable variation in political and economic life. Looking broadly across the Western Hemisphere, with examples from Brazil, the Southern Cone, the Andes, and Central America, Arceneaux and Pion-Berlin identify general rules that explain how international and domestic politics interact in specific contexts. The detailed, accessible case studies cast new light on such central problems as neoliberal economic reform, democratization, human rights, regional security, environmental degradation, drug trafficking, and immigration. And they consider not only what actors, institutions, and ideas matter in particular political contexts, but when, where, and how they matter. By dividing issues into the domains of "high" and "low" politics, and differentiating between short-term problems and more permanent concerns, they create an innovative typology for analyzing a wide variety of political events and trends.
Exchange rate policy has profound consequences for economic development, financial crises, and international political conflict. Some governments in the developing world maintain excessively weak and "undervalued" exchange rates, a policy that promotes export-led development but often heightens tensions with foreign governments. Many other developing countries "overvalue" their exchange rates, which increases consumers' purchasing power but often reduces economic growth. In Demanding Devaluation, David Steinberg argues that the demands of powerful interest groups often dictate government decisions about the level of the exchange rate.Combining rich qualitative case studies of China, Argentina, South Korea, Mexico, and Iran with cross-national statistical analyses, Steinberg reveals that exchange rate policy is heavily influenced by a country's domestic political arrangements. Interest group demands influence exchange rate policy, and national institutional structures shape whether interest groups lobby for an undervalued or an overvalued rate. A country's domestic political system helps determine whether it undervalues its exchange rate and experiences explosive economic growth or if it overvalues its exchange rate and sees its economy stagnate as a result.
New mathematical insights and rigorous results are often gained through extensive experimentation using numerical examples or graphical images and analyzing them. Today computer experiments are an integral part of doing mathematics. This allows for a more systematic approach to conducting and replicating experiments. The authors address the role of
Create affordable solid fuel blends that will burn efficiently while reducing the carbon footprint. Solid Fuel Blending Handbook: Principles, Practices, and Problems describes a new generation of solid fuel blending processes. The book includes discussions on such topics as flame structure and combustion performance, boiler efficiency, capacity as influenced by flue gas volume and temperature, slagging and fouling, corrosion, and emissions. Attention is given to the major types of combustion systems including stokers, pulverized coal, cyclone, and fluidized bed boilers. Specific topics considered include chlorine in one or more coals, alkali metals (e.g., K, Na) and alkali earth elements, and related topics. Coals of consideration include Appalachian, Interior Province, and Western bituminous coals; Powder River Basin (PRB) and other subbituminous coals; Fort Union and Gulf Coast lignites, and many of the off-shore coals (e.g., Adaro coal, an Indonesian subbituminous coal with very low sulfur; other off-shore coals from Germany, Poland, Australia, South Africa, Columbia, and more). Interactions between fuels and the potential for blends to be different from the parent coals will be a critical focus of this of the book. One stop source to solid fuel types and blending processes Evaluate combustion systems and calculate their efficiency Recognize the interactions between fuels and their potential energy output Be aware of the Environmental Aspects of Fuel Blending
Diophantine Approximation is a branch of Number Theory having its origins intheproblemofproducing“best”rationalapproximationstogivenrealn- bers. Since the early work of Lagrange on Pell’s equation and the pioneering work of Thue on the rational approximations to algebraic numbers of degree ? 3, it has been clear how, in addition to its own speci?c importance and - terest, the theory can have fundamental applications to classical diophantine problems in Number Theory. During the whole 20th century, until very recent times, this fruitful interplay went much further, also involving Transcend- tal Number Theory and leading to the solution of several central conjectures on diophantine equations and class number, and to other important achie- ments. These developments naturally raised further intensive research, so at the moment the subject is a most lively one. This motivated our proposal for a C. I. M. E. session, with the aim to make it available to a public wider than specialists an overview of the subject, with special emphasis on modern advances and techniques. Our project was kindly supported by the C. I. M. E. Committee and met with the interest of a largenumberofapplicants;forty-twoparticipantsfromseveralcountries,both graduatestudentsandseniormathematicians,intensivelyfollowedcoursesand seminars in a friendly and co-operative atmosphere. The main part of the session was arranged in four six-hours courses by Professors D. Masser (Basel), H. P. Schlickewei (Marburg), W. M. Schmidt (Boulder) and M. Waldschmidt (Paris VI). This volume contains expanded notes by the authors of the four courses, together with a paper by Professor Yu. V.
This book emphasizes those topological methods (of dynamical systems) and theories that are useful in the study of different classes of nonautonomous evolutionary equations. The content is developed over six chapters, providing a thorough introduction to the techniques used in the Chapters III-VI described by Chapter I-II. The author gives a systematic treatment of the basic mathematical theory and constructive methods for Nonautonomous Dynamics. They show how these diverse topics are connected to other important parts of mathematics, including Topology, Functional Analysis and Qualitative Theory of Differential/Difference Equations. Throughout the book a nice balance is maintained between rigorous mathematics and applications (ordinary differential/difference equations, functional differential equations and partial difference equations). The primary readership includes graduate and PhD students and researchers in in the field of dynamical systems and their applications (control theory, economic dynamics, mathematical theory of climate, population dynamics, oscillation theory etc).
This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational P
This visionary and thoroughly accessible book examines how digital environments and virtual reality have altered the ways historians think and communicate ideas and how the new language of visualization transforms our understanding of the past. Drawing on familiar graphic models--maps, flow charts, museum displays, films--the author shows how images can often convey ideas and information more efficiently and accurately than words. With emerging digital technology, these images will become more sophisticated, manipulable, and multidimensional, and provide historians with new tools and environments to construct historical narratives. Moving beyond the traditional book based on linear narrative, digital scholarship based on visualization and hypertext will offer multiple perspectives, dimensions, and experiences that transform the ways historians work and people imagine and learn about history. This second edition of Computers, Visualization, and History features expanded coverage of such topics as sequential narratives, 3-D modeling, simulation, and video games, as well as our theoretical understanding of space and immersive experience. The author has also added "Guidelines for Visual Composition in History" for history and social studies teachers who wish to use technology for student assignments. Also new to the second edition is a web link feature that users of the digital edition can use to enhance visualization within the text.
An award-winning science writer introduces us to mathematics using the extraordinary equation that unites five of mathematics' most important numbers Bertrand Russell wrote that mathematics can exalt "as surely as poetry." This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.
This study highlights the interaction between social protection (SP) programs and labor markets in the Latin America region. It presents new evidence on the limited coverage of existing programs and emphasizes the challenges caused by high informality for achieving universal social protection for old age income, health, unemployment risks and anti-poverty safety nets. It identifies interaction effects between SP programs and the behavioral responses of workers, firms and social protection providers, which can further undermine efforts to expand coverage, summarizing evidence from recent work across the region. The book argues for a re-design of financing to eliminate cross subsidies between members of contributory programs and subsidies that effectively tax income from formal employment. It advocates well-targeted, tax-funded, tapered subsidies to provide incentives to the savings efforts of low-income workers, coupled with an effective safety net for the extreme poor who have no capacity to contribute to financing their own social protection arrangements. It also argues for the consolidation of programs and harmonization of benefits packages across different insurers. The book develops an overall conceptual framework and presents in-depth analysis of the main SP sectors of pensions, health, unemployment insurance and labor market programs, and safety net transfers.
Covering classical cryptography, modern cryptography, and steganography, this volume details how data can be kept secure and private. Each topic is presented and explained by describing various methods, techniques, and algorithms. Moreover, there are numerous helpful examples to reinforce the reader's understanding and expertise with these techniques and methodologies. Features & Benefits: * Incorporates both data encryption and data hiding * Supplies a wealth of exercises and solutions to help readers readily understand the material * Presents information in an accessible, nonmathematical style * Concentrates on specific methodologies that readers can choose from and pursue, for their data-security needs and goals * Describes new topics, such as the advanced encryption standard (Rijndael), quantum cryptography, and elliptic-curve cryptography. The book, with its accessible style, is an essential companion for all security practitioners and professionals who need to understand and effectively use both information hiding and encryption to protect digital data and communications. It is also suitable for self-study in the areas of programming, software engineering, and security.
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