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.

Despite its unusually rich availability of natural resources and ample base of human capital, in the last forty years Argentina suffered a poor growth performance in any cross-country comparison. Chudnovsky and Lopez's analysis includes two episodes of growth in 1964-74 and in 1991-98 that proved to be finally unsustainable, as well as the 2001 crisis, the most severe in the country's history. Since both growth episodes took place under quite different development paradigms, the Post-War Development Consensus and Washington Consensus, lessons about what went right and wrong in Argentina contributes to the debate about the virtues and failures of those paradigms. Following mainly an institutional and historical approach, but also employing rigorous economic analysis, this book offers a timely contribution to one of the big puzzles in the field of development economics.

This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research.

The physics of fracture processes, which includes Fracture mechanics, is crucial for understanding the longevity and reliability of any structure, from fracture initiation to propagation and final catastrophic failure. This textbook introduces the thermodynamics of irreversible processes along with entropy to address the time dependency of fracture. Working from observations of structural failure, the book identifies the principal failure types such as brittle fracture, with considerations of solo crack initiation and crack propagation associated with collective distributed damage. The other type is ductile fracture, when a crack blunts immediately on the application of stress resulting in large deformation. The book then addresses the life of a structure in a specific environment and load condition, using irreversible thermodynamics and the entropy criterion to address cooperative fracture and novel statistical Fracture mechanics to address solo fracture. Applies well-established concepts from mechanics, absent in contemporary Fracture mechanics Uses novel concepts of mechanics, irreversible thermodynamics, and statistical Fracture mechanics The book is ideal for graduate students and design engineers in civil and materials engineering, as well as mechanical and chemical engineering. Students using the book need no more than basic college-level mechanics, mathematics, and statistics knowledge.

The physics of fracture processes, which includes Fracture mechanics, is crucial for understanding the longevity and reliability of any structure, from fracture initiation to propagation and final catastrophic failure. This textbook introduces the thermodynamics of irreversible processes along with entropy to address the time dependency of fracture. Working from observations of structural failure, the book identifies the principal failure types such as brittle fracture, with considerations of solo crack initiation and crack propagation associated with collective distributed damage. The other type is ductile fracture, when a crack blunts immediately on the application of stress resulting in large deformation. The book then addresses the life of a structure in a specific environment and load condition, using irreversible thermodynamics and the entropy criterion to address cooperative fracture and novel statistical Fracture mechanics to address solo fracture. Applies well-established concepts from mechanics, absent in contemporary Fracture mechanics Uses novel concepts of mechanics, irreversible thermodynamics, and statistical Fracture mechanics The book is ideal for graduate students and design engineers in civil and materials engineering, as well as mechanical and chemical engineering. Students using the book need no more than basic college-level mechanics, mathematics, and statistics knowledge.

The revised edition presents, extends, and updates a thorough analysis of the factors that cause and accelerate the aging of conductive and insulating materials of which transmission and distribution electrical apparatus is made. New sections in the second edition summarize the issues of the aging, reliability, and safety of electrical apparatus, as well as supporting equipment in the field of generating renewable energy (solar, wind, tide, and wave power). When exposed to atmospheric corrosive gases and fluids, contaminants, high and low temperatures, vibrations, and other internal and external impacts, these systems deteriorate; eventually the ability of the apparatus to function properly is destroyed. In the modern world of "green energy", the equipment providing clean, electrical energy needs to be properly maintained in order to prevent premature failure. The book's purpose is to help find the proper ways to slow down the aging of electrical apparatus, improve its performance, and extend the life of power generation, transmission, and distribution equipment.

After almost twenty-five years of experimenting with the neo-liberal economic reforms collectively known as 'Washington Consensus' policies, Latin Americans are starting to re-assess the merits of these policies - at the voting booth. Many newly elected governments are beginning to scrutinize the role of foreign direct investment (FDI) in particular, and some nations have gone so far as to nationalize foreign firms. Without endorsing or condoning the actions taken by these governments, this volume demonstrates that it is quite rational for governments in the region to re-evaluate the role of FDI for their development paths.

The great promise of FDI by multinational corporations is that capital will flow into your country and be a source of dynamic growth. Beyond boosting income and employment, the hope was that manufacturing FDI would bring knowledge spillovers that would build the skill and technological capacities of local firms, catalyzing broad-based economic growth; and environmental spillovers that would mitigate the domestic ecological impacts of industrial transformation.

Consisting of country case studies and comparative analyses from Latin American and U.S.-based political economists, this volume finds that when FDI did materialize if often fell far short of generating the necessary linkages required to make FDI work for sustainable economic development.

After almost twenty-five years of experimenting with the neo-liberal economic reforms collectively known as 'Washington Consensus' policies, Latin Americans are starting to re-assess the merits of these policies - at the voting booth. Many newly elected governments are beginning to scrutinize the role of foreign direct investment (FDI) in particular, and some nations have gone so far as to nationalize foreign firms. Without endorsing or condoning the actions taken by these governments, this volume demonstrates that it is quite rational for governments in the region to re-evaluate the role of FDI for their development paths.

The great promise of FDI by multinational corporations is that capital will flow into your country and be a source of dynamic growth. Beyond boosting income and employment, the hope was that manufacturing FDI would bring knowledge spillovers that would build the skill and technological capacities of local firms, catalyzing broad-based economic growth; and environmental spillovers that would mitigate the domestic ecological impacts of industrial transformation.

Consisting of country case studies and comparative analyses from Latin American and U.S.-based political economists, this volume finds that when FDI did materialize if often fell far short of generating the necessary linkages required to make FDI work for sustainable economic development.

Here is an unsurpassed resource-important accounts of a variety of dynamic systems topics related to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface...and explicit determination of modular function growth near a real point applications of number theory to 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.

Talks from the International Conference on Computers and Mathematics held July 29-Aug. 1, 1986, Stanford U. Some are focused on the past and future roles of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, physics,

Talks from the International Conference on Computers and Mathematics held July 29-Aug. 1, 1986, Stanford U. Some are focused on the past and future roles of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, physics,

This impressive volume is dedicated to Mel Nathanson, a leading authoritative expert for several decades in the area of combinatorial and additive number theory. For several decades, Mel Nathanson's seminal ideas and results in combinatorial and additive number theory have influenced graduate students and researchers alike. The invited survey articles in this volume reflect the work of distinguished mathematicians in number theory, and represent a wide range of important topics in current research.

This volume of new research papers marks the 20th anniversary of the New York Number Theory Seminar (NYNTS). Since 1982, NYNTS has presented a range of research in number theory and related fields of mathematics, from physics to geometry to combinatorics and computer science. The speakers have included Field medalists as well as promising lesser known mathematicians whose theorems are significant. The papers presented here are all previously unpublished.

Electrical distribution and transmission systems are complex combinations of various conductive and insulating materials. When exposed to atmospheric corrosive gases, contaminants, extreme temperatures, vibrations, and other internal and external impacts, these systems deteriorate, and sooner or later their ability to function properly is destroyed. Electrical Power Transmission and Distribution: Aging and Life Extension Techniques offers practical guidance on ways to slow down the aging of these electrical systems, improve their performance, and extend their life. Recognize the Signs of Aging in Equipment-and Learn How to Slow It A reference manual for engineering, maintenance, and training personnel, this book analyzes the factors that cause materials to deteriorate and explains what you can do to reduce the impact of these factors. In one volume, it brings together extensive information previously scattered among manufacturers' documentation, journal papers, conference proceedings, and general books on plating, lubrication, insulation, and other areas. Shows you how to identify the signs of equipment aging Helps you understand the causes of equipment deterioration Suggests practical techniques for protecting electrical apparatus from deterioration and damage Supplies information that can be used to develop manuals on proper maintenance procedures and choice of materials Provides numerous examples from industry This book combines research and engineering material with maintenance recommendations given in layperson's terms, making it useful for readers from a range of backgrounds. In particular, it is a valuable resource for personnel responsible for the utilization, operation, and maintenance of electrical transmission and distribution equipment at power plants and industrial facilities.

This is the first book presenting a coherent theoretical and experimental treatment of the rapidly developing field of macroscopic quantum tunneling of the magnetic moment. The theory is based on the concept of the magnetic instanton and its renormalization by the dissipative environment. The book includes discussions of the tunneling of magnetic moment in small ferromagnetic grains, tunneling of the Ne'el vector in antiferromagnetic grains, quantum nucleation of magnetic domains, and quantum depinning of domain walls. The experimental part collects the majority of recent data that are, or may be, relevant to spin tunneling. Among the topics described are low temperature magnetic relaxation and its interpretation in various systems, experiments on single particles and mesoscopic wires, and resonant spin tunneling in molecular magnets. This study of an important new field in condensed matter physics by two leading contributors to the subject will be of interest to theorists and experimentalists alike.

This volume is dedicated to Harvey Cohn, Distinguished Professor Emeritus of Mathematics at City College (CUNY). Harvey was one of the organizers of the New York Number Theory Seminar, and was deeply involved in all aspects of the Seminar from its first meeting in January, 1982, until his retirement in December, 1995. We wish him good health and continued hapiness and success in mathematics. The papers in this volume are revised and expanded versions of lectures delivered in the New York Number Theory Seminar. The Seminar meets weekly at the Graduate School and University Center of the City University of New York (CUNY). In addition, some of the papers in this book were presented at a conference on Combinatorial Number Theory that the New York Number Theory Seminar organized at Lehman College (CUNY). Here is a short description of the papers in this volume. The paper of R. T. Bumby focuses on "elementary" fast algorithms in sums of two and four squares. The actual talk had been accompanied by dazzling computer demonstrations. The detailed review of H. Cohn describes the construction of modular equations as the basis of studies of modular forms in the one-dimensional and Hilbert cases.

The New York Number Theory Seminar was organized in 1982 to provide a forum for the presentation and discussion of recent advances in higher arithmetic and its applications. Papers included in this volume are based on the lectures presented by their authors at the Seminar at the Graduate Center of C.U.N.Y. in 1985-88. Papers in the volume cover a wide spectrum of number theoretic topics ranging from additive number theory and diophantine approximations to algebraic number theory and relations with algebraic geometry and topology.

This is the third Lecture Notes volume to be produced in the framework of the New York Number Theory Seminar. The papers contained here are mainly research papers. N

This is a volume of papers presented at the New York Number Theory Seminar. Since 1982, the Seminar has been meeting weekly during the academic year at the Graduate School and University Center of the City University of New York. This collection of papers covers a wide area of number theory, particularly modular functions, algebraic and diophantine geometry, and computational number theory.

Seminar on the Riemann Problem, Complete Integrability and Arithmetic Applications

The revised edition presents, extends, and updates a thorough analysis of the factors that cause and accelerate the aging of conductive and insulating materials of which transmission and distribution electrical apparatus is made. New sections in the second edition summarize the issues of the aging, reliability, and safety of electrical apparatus, as well as supporting equipment in the field of generating renewable energy (solar, wind, tide, and wave power). When exposed to atmospheric corrosive gases and fluids, contaminants, high and low temperatures, vibrations, and other internal and external impacts, these systems deteriorate; eventually the ability of the apparatus to function properly is destroyed. In the modern world of "green energy", the equipment providing clean, electrical energy needs to be properly maintained in order to prevent premature failure. The book's purpose is to help find the proper ways to slow down the aging of electrical apparatus, improve its performance, and extend the life of power generation, transmission, and distribution equipment.

This book explores a big puzzle in development economics - why Argentina, despite rich natural resources and ample human capital, has endured such poor growth performance. The authors use rigorous economic analysis and an institutional and historical approach to show what went wrong, in a timely contribution to the sustainable development debate.

A three-step methodology was developed to provide reliable prediction of a coal's behaviour in a utility boiler: (1) Extracting the combustion kinetic model parameters by combining experimental data from a pilot-scale test facility, Computational Fluid Dynamic (CFD) codes and an artificial neural network. While the combustion kinetic parameters used in the model code will not correspond to the combustion rate of a single particle of coal, these parameters do describe the combustion behaviour of a "macroscopic" sample of tested coal.(2) Validation of the combustion kinetic model parameters by comparing diverse experimental data with simulation results calculated with the same set of model parameters. (3) The model parameters are then used for simulations of full-scale boilers using the same CFD code. For operational engineering information needed by the utility operator, the authors apply the predicted results to EXPERT SYSTEM, a boiler supervision system developed by Israel Electric Corporation (IEC). Four different bituminous and sub-bituminous coals with known behaviour in IEC 550MW opposite-wall and 575MW tangential-fired boilers were used to show the adequacy of the methodology. The predictions are done with the CFD code, GLACIER, propriety of Reaction Engineering International (REI). Preconfigured GLACIER models of the test and full-scale furnaces were purchased from REI and validated by our group. This book includes a detailed description of the methodology, test furnace facility and an example of the experimental and predictive combustion results from the four coals used to test the methodology. In addition, two previously unknown coals are examined prior to their firing in the utility boilers and prediction of their behaviour and operational parameters in the two boilers carried out.