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Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces

Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.

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Contents

Preface. 1 Forced oscillations and bifurcations. 2 Historical behaviour in smooth dynamical systems. 3 Implicit formalism for affine-like maps and parabolic composition. 4 Strong resonances and Takens's Utrecht preprint. 5 Semi-local analysis of the k: 1 and k: 2 resonances in quasi-periodically forced systems. 6 Generic unfolding of the nilpotent saddle of codimension four Freddy Dumortier, Peter Fiddelaers and Chengzhi Li. 7 Exponential confinement of chaos in the bifurcation sets of real analytic difeomorphisms. 8 Takens-Bogdanov bifurcations without parameters and oscillatory shock profiles. 9 Global birfurcations of periodic orbits in the forced Van der Pol equation. 10 An unfolding theory approach to bursting in fast-slow systems. 11 The intermittency route to chaotic dynamics. 12 Homoclinic points in complex dynamical systems. Excitation of elliptic normal modes of invariant tori in volume perserving flows. 14 On the global dynamics of Kirchhoff's equations: rigid body models for underwater vehicles. 15 Global dynamics and fast indicators. 16 A general nonparametric bootstrap test for Granger causality. 17 Birkhoff averages and bifurcations. 18 The multifractal analysis of Birkhoff averages and large deviations. 19 Existence of absolutely continuous invariant probability measures for multimodal maps. 20 On the dynamics of the renormalization operator. Index

Synopsis

This book is a liber amicorum, offered to Floris Takens on the occasion of his 60th birthday. The contributions are written by close colleagues, friends and former students of Floris Takens.

Readership

Graduate students and researchers in mathematics, physics and engineering interested in dynamical systems theory. ... Read more

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Appropriate for all financial statement analysis courses or as the primary text for an MBA financial accounting course.Written from the perspective of the user of financial statements, as opposed to the preparer of statements. Robinson/Munter/Grant take a global perspective in their presentation of financial statement analysis. Their text is designed to assist readers on how to understand and use an enterprise's financial statements and other reports in making investment and credit decisions, or in support of others making such decisions. ... Read more

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Due to the general complementary convex structure underlyingmost nonconvex optimization problems encountered in applications,convex analysis plays an essential role in the development of globaloptimization methods. This book develops a coherent and rigoroustheory of deterministic global optimization from this point of view.Part I constitutes an introduction to convex analysis, with anemphasis on concepts, properties and results particularly needed forglobal optimization, including those pertaining to the complementaryconvex structure. Part II presents the foundation and application ofglobal search principles such as partitioning and cutting, outer andinner approximation, and decomposition to general global optimizationproblems and to problems with a low-rank nonconvex structure as wellas quadratic problems. Much new material is offered, aside from arigorous mathematical development.
Audience: The book is written as a text for graduate students inengineering, mathematics, operations research, computer science andother disciplines dealing with optimization theory. It is alsoaddressed to all scientists in various fields who are interested inmathematical optimization. ... Read more

Customer Reviews (1)

Review from Mathematical Methods of Operations Research
"The book gives a good review of the topic...The text is carefully constructed and well written, the exposition is clear.It leaves a reamrkable impression of the concepts, tools, and techniques in global optimization.It might also be used as a basis and guideline for lectures on this subject.students as well as professionals will profitably read and use it." ... Read more

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Despite its great importance, there are surprisingly few economic studies of the impact of climate on agriculture and how agriculture can adapt under a variety of conditions. This book examines 22 countries across four continents, including both developed and developing economies. It provides both a good analytical basis for additional work and solid results for policy debate concerning income distributional effects such as abatement, adaptation, and equity.

Agriculture and grazing are a central sector in the livelihood of many people, particularly in developing countries. This book uses the Ricardian method to examine the impact of climate change on agriculture. The book also quantifies how farmers adapt to climate. The findings suggest that agriculture in developing countries is more sensitive to climate than agriculture in developed countries. Rain-fed cropland is generally more sensitive to warming than irrigated cropland and cropland is more sensitive than livestock. The adaptation to climate change results reveal that farmers make many adjustments including switching crops and livestock species, adopting irrigation, and moving between livestock and crops. The results also reveal that impacts and adaptations vary a great deal across landscapes, suggesting that adaptation policies must be location specific. Finally, the book suggests a research agenda for the future.

Economists in academia and the public sector, policy analysts and development agencies will find this broad study illuminating. ... Read more

Customer Reviews (1)

Surveys twenty-two countries around the globe and includes both first world and third world nations
While it is now finally accepted by the general populace as well as the scientific community, global warming is continuing to have a dramatic impact on the environment world-wide with potentially devastating results for human civilization. The latest addition to the outstanding 'New Horizons in Environmental Economics' series published by Edward Elgar Publishing, "Climate Change and Agriculture: An Economic Analysis of Global Impacts, Adaptation and Distributional Effects" is the collaborative work of Robert Mendelsohn (Edwin Weyerhaeuser Davis Professor, School of Forestry and Environmental Studies, Yale University) and Ariel Dinar (Professor of Environmental Economics and Policy and Director, Water Science and Policy Center, University of California, Riverside). It should be noted that "Climate Change And Agriculture" was written while Professor Dinar was also serving as the Lead Economist of the Development Research Group at the World Bank). The specific focus of this seminal work is on the economic impact of climate change on agriculture world wide, and how faced with the resultant environmental alterations, agriculture might adapt under varied and varying conditions. The work surveys twenty-two countries around the globe and includes both first world and third world nations. Of special note is the suggested research agenda for future and continuing studies of climate change impacts upon agriculture throughout the coming decades. Enhanced with a detailed and comprehensive index, "Climate Change And Agriculture" is highly recommended for academic library Environmental Studies and Economic Studies reference collections and supplemental reading lists. ... Read more

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Evidence from the United States suggests that technological change is a key factor in understanding both medical expenditure growth and recent dramatic improvements in the health of people with serious illnesses. Yet little international research has examined how the causes and consequences of technological change in health care differ worldwide. Seeking to illuminate these issues, this volume documents how use of high-technology treatments for heart attack changed in fifteen developed countries over the 1980s and 1990s. Drawn from the collaborative effort of seventeen research teams in fifteen countries, it provides a cross-country analysis of microdata that illuminates the relationships between public policies toward health care, technology, costs, and health outcomes.
The comparisons presented here confirm that the use of medical technology in treatment for heart attack is strongly related to incentives, and that technological change is an important cause of medical expenditure growth in all developed countries. Each participating research team reviewed the economic and regulatory incentives provided by their country's health system, and major changes in those incentives over the 1980s and 1990s, according to a commonly used framework. Such incentives include: the magnitude of out-of-pocket costs to patients, the generosity of reimbursement to physicians and hospitals, regulation of the use of new technologies or the supply of physicians, regulation of competition, and the structure of hospital ownership. Each team also reviewed how care for heart attacks has changed in their country over the past decade.
The book will be of enormous importance to health economists, medical researchers and epidemiologists, and policymakers.
Mark McClellan is Associate Professor of Economics and of Medicine and, by courtesy, of Health Research and Policy, Stanford University. He is a National Fellow, the Hoover Institution. Daniel P. Kessler is Associate Professor of Economics, Law, and Policy in the Graduate School of Business, Stanford University, and a Research Fellow, the Hoover Institution.
... Read more

Product Description

Comprehensive and state-of-the art study of the basic concepts and principles of variational analysis and generalized differentiation in both finite-dimensional and infinite-dimensional spaces

Presents numerous applications to problems in the optimization, equilibria, stability and sensitivity, control theory, economics, mechanics, etc.

Product Description
Global fixed-income markets, both securities and their derivatives, have registered phenomenal growth over the past two decades, yet many instruments and strategies are often misunderstood and, as a result, mishandled for the purposes of effective risk management.

This comprehensive new book explains and clarifies the essential building blocks underlying the pricing and risk analysis of fixed-income securities and derivatives-using mathematics lightly, to make things easier, not harder. The emphasis throughout is on how-to-do, on building operational knowledge from the ground up. There are more than 300 examples and exhibits based on current market data.

The international dimension is also an integral part of the analysis. A true global financial village has emerged, heavily dependent for its operations on real-time international telecommunications networks. The focus of this book is on instruments which can be freely traded internationally, generally without controls, taxes, or other restrictions. You will find essential information on:
* The global money market
* Foreign exchange transactions and foreign exchange derivatives
* Bonds and zero coupon bonds-including a risk management-driven discussion
of duration and convexity
* Interest rate swaps, currency swaps, and exchange-traded futures
* Stochastic models and option pricing
* Stochastic models of the yield curve

Written for a wide range of finance professionals and packed with a wealth of exhibits, this is the ideal resource for anyone seeking a firmer grasp of this important topic.

Would you like to receive monthly updates of new financial books from John Wiley & Sons? E-mail your request to: wileyfinance@wiley.com ... Read more

Customer Reviews (2)

Excellent source for fixed income analytics
I had the pleasure of having Mr. Questa as a guest lecuturer in a Fixed Income class. This book was used as the text, prior to its publication. The book is a great intro-intermediate fixed income book. It also covers theadvanced stochastic models well. It is one of few books that alsointegrates the foreign exchange market into the analysis. In a few areasthe book is difficult to follow however after a careful re-reading it sinksin.

Nonè una recensione
Non ho avuto il piacere di leggere il libro ma il nome dell'autore mi piaceva tantissimo...... è il mio (omonimia) Giorgio Questa ... Read more

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This extensive undertaking, Accelerator Mass Spectrometry, conducts an elaborate and comprehensive summary of one of the foremost catalysts of progress in scientific research. Accelerator mass spectrometry (AMS), an innovative analytical technique, measures rare atoms at unprecedented levels of sensitivity, revolutionizing the science of radiocarbon dating and accessing new natural radioisotopes as environmental tracers and chronometers. This book demonstrates how AMS is applied in the studies of extraterrestrial materials, the earth sciences, the future of the global environment, and the history of mankind.This compendium also highlights the significant impact of AMS on several fields of scientific investigation, spurring remarkable studies in global climate change, ancient artifacts, pollution, nuclear safeguards, geochronology, and materials characterization. The myriad of sample types and variety of applications in this examination include:oMeteorites from MarsoAncient air trapped in Antarctic ice oThe Shroud of TurinoThe dating of human bonesoThe colonization of the Americas and AustraliaoAncient rock artoThe crown of CharlemagneoCancerogenic effects of cooked meatoThe consequences of the Chernobyl accidentoThe role of aluminum in Alzheimer's DiseaseThis unique edition has compiled the diverse set of scientific literature into a single volume, suitable as a text or resource on the major AMS-related outcomes, issues, and methods. ... Read more

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This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. The approach is simple: a mapping is called smooth if it maps smooth curves to smooth curves. Up to Frechet spaces, this notion of smoothness coincides with all known reasonable concepts. In the same spirit, calculus of holomorphic mappings (including Hartogs' theorem and holomorphic uniform boundedness theorems) and calculus of real analytic mappings are developed. Existence of smooth partitions of unity, the foundations of manifold theory in infinite dimensions, the relation between tangent vectors and derivations, and differential forms are discussed thoroughly. Special emphasis is given to the notion of regular infinite dimensional Lie groups. Many applications of this theory are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations. ... Read more

Customer Reviews (1)

get a free copy online
The interested reader can get a free online copy from
(...)

As I have only skimmed through the book, I'll therefore leave a more detailed review to a later date and might possibly change the temporary 4-star rating. ... Read more

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Pilot Analysis of Global Ecosystems (PAGE): CoastalEcosystems analyzes quantitative and qualitative information anddevelops selected indicators of the condition of the world's coastalecosystems and marine fisheries. Specifically the study looks atmeasures that show the degree of human modification of coastal zoneand what we know concerning five important goods and services providedby coastal ecosystems: filtering water, food, biodiversity, shorelinestabilization, and tourism.

Results from the PAGE analysis show that human activities haveextensively altered coastal ecosystems worldwide. Nearly 30 percent ofthe land area in the world's coastal ecosystems had already beenextensively altered or destroyed by growing demand for housing,industry, and recreation. Globally, the number of people living within100 km of the coast increased from roughly 2 billion in 1990 to 2.2billion in 1995—four out of every ten people in the world. Ascoastal and inland populations continue to grow, their impacts—interms of pollutant loads and the development and conversion of coastalhabitats—can be expected to grow as well. Nutrient pollution hasincreased dramatically this century due to greater use of fertilizers,growth in quantities of domestic and industrial sewage, and increasedaquaculture, which releases considerable amounts of waste directlyinto the water. Increasing fishing pressure have left many major fishstocks depleted or in decline. Global climate change may compoundother pressures on coastal ecosystems through the additional effectsof warmer ocean temperatures, altered ocean circulation patterns,changing storm frequency, and rising sea levels. ... Read more

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A critical step in improving the way we manage theearth's ecosystems is to take stock of their condition and theircapacity to provide the goods and services we will need in years tocome. The Pilot Analysis of Global Ecosystems (PAGE) aims to addressthis gap. The PAGE compares existing and new information on a globalscale about the condition of five major classes of ecosystems:agroecosystems, coastal areas, forests, freshwater systems, andgrasslands. ... Read more

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In their pursuit of policies to combat global warming, countries will find that they may also receive additional benefits which are not directly associated with the primary aim. These ancillary benefits are likely to include, for example, a reduction in pollution as a result of carbon containment policies. International Climate Policy to Combat Global Warming is one of the first books which analyzes climate policy, taking account of ancillary as well as primary benefits.

The author integrates ancillary benefits into the theory and explores the implications for international policy measures. Because of the private character of ancillary benefits, the author is able to treat climate policy as an impure public good which in turn has an impact on the efficient climate protection level. He highlights the general failures of the standard approach to climate policy design and goes on to propose a new approach to international negotiations on climate change. He suggests a flexible matching scheme which would help overcome free-rider incentives and which would have considerable advantages over traditional co-operative designs.

By proposing a novel framework for the analysis of, and solution to, the problem of global warming, this book will be welcomed by environmental and ecological economists, policymakers and researchers of political science. ... Read more

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This book contains the proceedings of a special session on differential geometry, global analysis, and topology, held during the Summer Meeting of the Canadian Mathematical Society in June 1990 at Dalhousie University in Halifax. The session featured many fascinating talks on topics of current interest. The articles collected here reflect the diverse interests of the participants but are united by the common theme of the interplay among geometry, global analysis, and topology. Some of the topics include applications to low dimensional manifolds, control theory, integrable systems, Lie algebras of operators, and algebraic geometry. Readers will appreciate the insight the book provides into some recent trends in these areas. ... Read more

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It is a recent tendency to put emphasis on the applied side of mathematics. The entirely new development in applied fields, however, has been done often in combination with ideas and methods in pure mathematics which are seemingly not related to practical problems. Conversely, many problems in pure mathematics stem from questions raised in other fields. These Proceedings show the reader that this phenomenon is in particular prominent in pure and applied analysis. Abstract theory in functional analysis and global analysis turns out to be useful to solve problems in many branches of natural sciences, for example, biology, physics and chemistry. The International Conference on Functional Analysis and Global Analysis, held 20-26 October 1996 at the University of the Philippines, Diliman Campus, brought together mathematicians in the Southeast and East Asia to foster better cooperation for scientific development. The conference addressed the problems and applications to mathematical theories and models in Functional and Global analysis, the topics being covered by over 20 invited international speakers from prestigious academic institutions around the globe, and presented in this book. The reader will discover a harmony between pure analysis and applied analysis in the excellent articles contained here which cover topics in evolution equations, mathematical methods for phase transitions, quantum ergodicity, wavelet analysis and dynamical systems. ... Read more