springer new york springer new york jun 1999 (79 risultati)

Taschenbuch. Condizione: Neu. Neuware -Leaps of Faith is a compelling and highly praised critique of beliefs in paranormal phenomena, miracles, and the like, written by the noted British psychologist Nicholas Humphrey. The author argues that our beliefs in the supernatural typically originate in anxiety about the future and are sustained by an entrenched belief in the duality of mind and body. More than just a debunking of supernaturalism, Leaps of Faith explores the psychology of the all-too-human tendency for wishful thinking. It explains why we hark after a fantasy world of magic and miracles - even when, arguably, we already live in the only world that offers real hope of fulfillment.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 260 pp. Englisch.

Buch. Condizione: Neu. Neuware - From the editors of the wildly successful Beyond Calculation comes another exploration of the overwhelming impact of computers on our future. This time, the essays focus on the human impact of computer technology and culture: how computers will affect the ways we teach, learn, communicate, relate to each other, and live in the coming decades. The contributors, representing the best of many fields, include Secretary of Defense William Perry on how computers will affect warfare; Brian Ferrin on technology and storytelling; Patti Maes on intelligent agents; Nobel Laureate Murray Gell-Mann on the quality of information; Eliot Soloway on the impact of computers on education; and many more. Like Beyond Calculation, praised by the New York Times for its 'astonishing intellectual reach,' this sequel engages readers with some of the most compelling and important issues of our time.

Taschenbuch. Condizione: Neu. Neuware -This book is a tour-de-force on how human consciousness may have evolved. From the 'phantom pain' experienced by people who have lost their limbs to the uncanny faculty of 'blindsight,' Humphrey argues that raw sensations are central to all conscious states and that consciousness must have evolved, just like all other mental faculties, over time from our ancestors' bodily responses to pain and pleasure. 'Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 240 pp. Englisch.

Buch. Condizione: Neu. Neuware -Whyanothertextbook The statistical community generally agrees that at the upper undergraduate level, or the beginning master¿s level, students of statistics should begin to study the mathematical methods of the eld. We assume that by thentheywillhavestudiedtheusualtwo yearcollegesequence,includingcalculus through multiple integrals and the basics of matrix algebra. Therefore, they are ready to learn the foundations of their subject, in much more depth than is usual in an applied, ¿cookbook,¿ introduction to statistical methodology. There are a number of well written, widely used textbooks for such a course. These seem to re ect a consensus for what needs to be taught and how it should be taught. So, why do we need yet another book for this spot in the curriculum I learned mathematical statistics with the help of the standard texts. Since then, Ihavetaughtthiscourseandsimilaronesmanytimes,atseveraldifferentuniversi ties,usingwell thought oftextbooks.Butfromthebeginning,Ifeltthatsomething was wrong. It took me several years to articulate the problem, and many more to assemble my solution into the book you have in your hand. You see, I spend the rest of my day in statistical consulting and statistical re search. I should have been preparing my mathematical statistics students to join me in this exciting work. But from seeing what the better graduating seniors and beginning graduate students usually knew, I concluded that the standard curricu lumwasnotteachingthemtobesophisticatedcitizensofthestatisticalcommunity.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 476 pp. Englisch.

Buch. Condizione: Neu. Neuware -Mathematics majors at Michigan State University take a ¿Capstone¿ course near the end of their undergraduate careers. The content of this course varies with each offering. Its purpose is to bring together different topics from the undergraduate curriculum and introduce students to a developing area in mathematics. This text was originally written for a Capstone course. Basicwavelettheoryisanaturaltopicforsuchacourse. Byname, wavelets date back only to the 1980s. On the boundary between mathematics and engineering, wavelet theory shows students that mathematics research is still thriving, with important applications in areas such as image compression and the numerical solution of differential equations. The author believes that the essentials of wavelet theory are suf ciently elementary to be taught successfully to advanced undergraduates. This text is intended for undergraduates, so only a basic background in linear algebra and analysis is assumed. We do not require familiarity with complex numbers and the roots of unity. These are introduced in the rst two sections of chapter 1. In the remainder of chapter 1 we review linear algebra. Students should be familiar with the basic de nitions in sections 1. 3 and 1. 4. From our viewpoint, linear transformations are the primary object of study; v Preface vi a matrix arises as a realization of a linear transformation. Many students may have been exposed to the material on change of basis in section 1. 4, but may bene t from seeing it again. In section 1.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 524 pp. Englisch.

Taschenbuch. Condizione: Neu. Neuware - TO THE INSTRUCTOR I hear, I forget. I see, I remember. I do, I understand. Anonymous OBJECTIVES OF WORKSHOP CALCULUS 1. Impel students to be active learners. 2. Help students to develop confidence about their ability to think about and do mathematics. 3. Encourage students to read, write, and discuss mathematical ideas. 4. Enhance students' understanding of the fundamental concepts under- ing the calculus. 5. Prepare students to use calculus in other disciplines. 6. Inspire students to continue their study of mathematics. 7. Provide an environment where students enjoy learning and doing ma- ematics. xi xii To the Instructor THE WORKSHOP APPROACH Workshop Calculus with Graphing Calculators: Guided Exploration with Review provides students with a gateway into the study of calculus. The two-volume series integrates a review of basic precalculus ideas with the study of c- cepts traditionally encountered in beginning calculus: functions, limits, - rivatives, integrals, and an introduction to integration techniques and d- ferential equations. It seeks to help students develop the confidence, understanding, and skills necessary for using calculus in the natural and - cial sciences, and for continuing their study of mathematics.

Buch. Condizione: Neu. Neuware - The decade prior to publication has seen an explosive growth in com- tational speed and memory and a rapid enrichment in our understa- ing of arti cial neural networks. These two factors have cooperated to at last provide systems engineers and statisticians with a working, prac- cal, and successful ability to routinely make accurate complex, nonlinear models of such ill-understood phenomena as physical, economic, social, and information-based time series and signals and of the patterns h- den in high-dimensional data. The models are based closely on the data itself and require only little prior understanding of the stochastic mec- nisms underlying these phenomena. Among these models, the feedforward neural networks, also called multilayer perceptrons, have lent themselves to the design of the widest range of successful forecasters, pattern clas- ers, controllers, and sensors. In a number of problems in optical character recognition and medical diagnostics, such systems provide state-of-the-art performance and such performance is also expected in speech recognition applications. The successful application of feedforward neural networks to time series forecasting has been multiply demonstrated and quite visibly so in the formation of market funds in which investment decisions are based largely on neural network-based forecasts of performance. The purpose of this monograph, accomplished by exposing the meth- ology driving these developments, is to enable you to engage in these - plications and, by being brought to several research frontiers, to advance the methodology itself.

Buch. Condizione: Neu. Neuware -There has been a great deal of excitement in the last ten years over the emer gence of new mathematical techniques for the analysis and control of nonlinear systems: Witness the emergence of a set of simplified tools for the analysis of bifurcations, chaos, and other complicated dynamical behavior and the develop ment of a comprehensive theory of geometric nonlinear control. Coupled with this set of analytic advances has been the vast increase in computational power available for both the simulation and visualization of nonlinear systems as well as for the implementation in real time of sophisticated, real-time nonlinear control laws. Thus, technological advances havebolstered the impact of analytic advances and produced a tremendous variety of new problems and applications that are nonlinear in an essential way. Nonlinear controllaws have been implemented for sophisticated flight control systems on board helicopters, and vertical take offand landing aircraft; adaptive, nonlinearcontrollaws havebeen implementedfor robot manipulators operating either singly, or in cooperation on a multi-fingered robot hand; adaptive control laws have been implemented forjetengines andautomotive fuel injection systems, as well as for automated highway systems and air traffic management systems, to mention a few examples. Bifurcation theory has been used to explain and understand the onset of fiutterin the dynamics of aircraft wing structures, the onset of oscillations in nonlinear circuits, surge and stall in aircraft engines, voltage collapse in a power transmission network.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 700 pp. Englisch.

Buch. Condizione: Neu. Neuware -Changes in health care are at a breakneck pace. Regardless of the many changes we have collectively experienced, delivering health care has been, is, and will continue to be an enormously information-intensive process. Whether caring for a patient or a population, whether managing a clinic or a continuum, we are in a knowledge exchange business. A major task for our industry, and the task for chief information officers (CIOs), is to find and apply improved strategies and technologies for managing healthcare information. In a fiercely competitive healthcare marketplace, the pressures to suc ceed in this undertaking-and the rewards associated with success-are enormous. While the task is still daunting, we can all be encouraged by progress being made in information management. There are documented successes throughout health care, and there is growing recognition by healthcare chief executive officers and boards that information strategies, and their deployment, are essential to organizational efficiency, quite pos sibly organizational survival.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 236 pp. Englisch.

Buch. Condizione: Neu. Neuware -1 The Purpose of This Text This text has been written in response to two trends that have gained considerable momentum over the past few years. The first is the decision by many undergraduate engineering and science departments to abandon the traditional programming course based on the aging Fortran 77 standard. This decision is not surprising, considering the more modem features found in languages such as Pascal and C. However, Pascal never developed a strong following in scientific computing, and its use is in decline. The new Fortran 90 standard defines a powerful, modem language, but this long-overdue redesign of Fortran has come too late to prevent many colleges and universities from switching to C. The acceptance of C by scientists and engineers is based perhaps as. much on their perceptions of C as an important language, which it certainly is, and on C programming experience as a highly marketable skill, as it is on the suitability of C for scientific computation. For whatever reason, C or its derivative C++ is now widely taught as the first and often only programming language for undergraduates in science and engineering. The second trend is the evolving nature of the undergraduate engineering curriculum. At a growing number of institutions, the traditional approach of stressing theory and mathematics fundamentals in the early undergraduate years, and postponing real engineering applications until later in the curriculum, has been turned upside down.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 500 pp. Englisch.

Buch. Condizione: Neu. Neuware -The present book is intended to be a systematic text on topological vector spaces and presupposes familiarity with the elements of general topology and linear algebra. The author has found it unnecessary to rederive these results, since they are equally basic for many other areas of mathematics, and every beginning graduate student is likely to have made their acquaintance. Simi larly, the elementary facts on Hilbert and Banach spaces are widely known and are not discussed in detail in this book, which is :plainly addressed to those readers who have attained and wish to get beyond the introductory level. The book has its origin in courses given by the author at Washington State University, the University of Michigan, and the University of Ttibingen in the years 1958-1963. At that time there existed no reasonably ccmplete text on topological vector spaces in English, and there seemed to be a genuine need for a book on this subject. This situation changed in 1963 with the appearance of the book by Kelley, Namioka et al. [1] which, through its many elegant proofs, has had some influence on the final draft of this manuscript. Yet the two books appear to be sufficiently different in spirit and subject matter to justify the publication of this manuscript; in particular, the present book includes a discussion of topological tensor products, nuclear spaces, ordered topological vector spaces, and an appendix on positive operators.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 368 pp. Englisch.

Taschenbuch. Condizione: Neu. Neuware -For many years Serge Lang has given talks to undergraduates on selected items in mathematics which could be extracted at a level understandable by students who have had calculus. Written in a conversational tone, Lang now presents a collection of those talks as a book. The talks could be given by faculty, but even better, they may be given by students in seminars run by the students themselves. Undergraduates, and even some high school students, will enjoy the talks which cover prime numbers, the abc conjecture, approximation theorems of analysis, Bruhat-Tits spaces, harmonic and symmetric polynomials, and more in a lively and informal style.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 132 pp. Englisch.

Buch. Condizione: Neu. Neuware -The authors' aim is to provide the reader with the very basic knowledge necessary to begin research on differential equations with professional ability. The selection of topics should provide the reader with methods and results that are applicable in a variety of different fields. The text is suitable for a one-year graduate course, as well as a reference book for research mathematicians. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history. The book has 114 illustrations and 206 exercises. Hints and comments for many problems are given.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 484 pp. Englisch.

Buch. Condizione: Neu. Neuware -This book presents the second part of a two-volume series devoted to a sys tematic exposition of some recent developments in the theory of discrete time Markov control processes (MCPs). As in the first part, hereafter re ferred to as 'Volume I' (see Hernandez-Lerma and Lasserre [1]), interest is mainly confined to MCPs with Borel state and control spaces, and possibly unbounded costs. However, an important feature of the present volume is that it is essentially self-contained and can be read independently of Volume I. The reason for this independence is that even though both volumes deal with similar classes of MCPs, the assumptions on the control models are usually different. For instance, Volume I deals only with nonnegative cost per-stage functions, whereas in the present volume we allow cost functions to take positive or negative values, as needed in some applications. Thus, many results in Volume Ion, say, discounted or average cost problems are not applicable to the models considered here. On the other hand, we now consider control models that typically re quire more restrictive classes of control-constraint sets and/or transition laws. This loss of generality is, of course, deliberate because it allows us to obtain more 'precise' results. For example, in a very general context, in 4.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 296 pp. Englisch.

Buch. Condizione: Neu. Neuware -Prediction of a random field based on observations of the random field at some set of locations arises in mining, hydrology, atmospheric sciences, and geography. Kriging, a prediction scheme defined as any prediction scheme that minimizes mean squared prediction error among some class of predictors under a particular model for the field, is commonly used in all these areas of prediction. This book summarizes past work and describes new approaches to thinking about kriging.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 276 pp. Englisch.

Buch. Condizione: Neu. Neuware -This is a history of the use of Bayes theoremfrom its discovery by Thomas Bayes to the rise of the statistical competitors in the first part of the twentieth century. The book focuses particularly on the development of one of the fundamental aspects of Bayesian statistics, and in this new edition readers will find new sections on contributors to the theory. In addition, this edition includes amplified discussion of relevant work.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 700 pp. Englisch.

Buch. Condizione: Neu. Neuware -Among all the interests in parallelism, there is an essential and fundamental one that has remained largely unexplored, namely the question of how to design parallel programs from their specification. And that is what this book is about. It proposes a method for the formal development of parallel programs - multiprograms as we have preferred to call them -, and it does so with a minimum of formal gear, viz. with the predicate calculus and with the meanwhile well-established theory of Owicki and Gries. The fact that one can get away with just this theory will probably not convey anything to the uninitiated, but it may all the more come as a surprise to those who were exposed earlier to correctness of multiprograms. Contrary to common belief, the Owicki/Gries theory can indeed be effectively put to work for the formal development of multiprograms, regardless of whether these algorithms are distributed or not. That is what we intend to exemplify with this book.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 396 pp. Englisch.

Buch. Condizione: Neu. Neuware -The short history of the International Working Conference on Educating Professionals for Network Centric Organizations is a good illustration of the tremendous rate of development of global networking, its impact and of its deep penetration into management of business, industty and administration. In 1996, when the theme and name of the conference had been set, there was yet no heavy use of networks in the fields just mentioned. However, it has been already established well enough to enable those with a visionary sense to feel that it will be an important subject and it could be an interesting theme for a conference to be held within two years. It seemed a risky decision at the time but it turned out to be very successful when conducted in 1998. It has been stated that 'it took until 1997 for the business world to discover the Internet'. In less than two years, the Internet and the Intranets are a vital component for running major parts of the business world. This fast pace puts some pressure on writing papers and holding a conferenc- effort has to be made to have meaningful contents despite the changes. A time span of 9 months between writing a paper and having it published, seemed once to be very short, but it is not so any more when referring to a dynamic issue like global networking.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 244 pp. Englisch.

Buch. Condizione: Neu. Neuware -Quantitative Feedback Design of Linear and Nonlinear Control Systems is a self-contained book dealing with the theory and practice of Quantitative Feedback Theory (QFT). The author presents feedback synthesis techniques for single-input single-output, multi-input multi-output linear time-invariant and nonlinear plants based on the QFT method. Included are design details and graphs which do not appear in the literature, which will enable engineers and researchers to understand QFT in greater depth. Engineers will be able to apply QFT and the design techniques to many applications, such as flight and chemical plant control, robotics, space, vehicle and military industries, and numerous other uses. All of the examples were implemented using Matlab® Version 5.3; the script file can be found at the author's Web site.QFT results in efficient designs because it synthesizes a controller for the exact amount of plant uncertainty, disturbances and required specifications. Quantitative Feedback Design of Linear and Nonlinear Control Systems is a pioneering work that illuminates QFT, making the theory - and practice - come alive.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 396 pp. Englisch.

Buch. Condizione: Neu. Neuware -International concern in scientific, industrial, and governmental communities over traces of xenobiotics in foods and in both abiotic and biotic environments has justified the present triumvirate of specialized publications in this field: comprehensive reviews, rapidly published research papers and progress reports, and archival documentations. These three international publications are inte grated and scheduled to provide the coherency essential for nonduplicative and current progress in a field as dynamic and complex as environmental contamina tion and toxicology. This series is reserved exclusively for the diversified litera ture on ''toxic'' chemicals in our food, our feeds, our homes, recreational and working surroundings, our domestic animals, our wildlife and ourselves. Tre mendous efforts worldwide have been mobilized to evaluate the nature, pres ence, magnitude, fate, and toxicology of the chemicals loosed upon the earth. Among the sequelae of this broad new emphasis is an undeniable need for an articulated set of authoritative publications, where one can find the latest impor tant world literature produced by these emerging areas of science together with documentation of pertinent ancillary legislation. Research directors and legislative or administrative advisers do not have the time to scan the escalating number of technical publications that may contain articles important to current responsibility. Rather, these individuals need the background provided by detailed reviews and the assurance that the latest infor mation is made available to them, all with minimal literature searching.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 180 pp. Englisch.

Buch. Condizione: Neu. Neuware -By the end of the 19th century both beaver species had been extirpated from large portions of their native ranges. The global decline in beaver populations was the direct re sult of exploitation by humans. Now, at the end of the 20th century, protection, manage ment, and reintroduction programs, coupled with a decline in the demand for beaver fur and other products, have allowed beaver populations to increase dramatically. Since bea vers actively modify their local environment their activities can conflict with human land use. Because of this, the beaver, once considered a unique and exotic component of wet lands, is now often considered a nuisance species. The history, as well as the current status, of beaver populations in Europe and North America provide insight into how con servation programs work, and into how humans and wildlife interact. The initial plenary lecture of the Euro-American Mammal Congress (July, 1998) was presented by Dr. Michael L. Rosenzweig, a professor at the University of Arizona. Dr. Rosenzweig discussed how humans have used and continue to use natural resources, in cluding wildlife and wildland. He provided evidence indicating that the current model of reservation conservation could not provide a long-term solution to the human-wild life/wildland conflict. Dr. Rosenzweig emphasized that what is required is a move away from purely exploitive activities (I would call this exploitive ecology) and the develop ment of a reconciliation ecology with wildlife.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 196 pp. Englisch.

Buch. Condizione: Neu. Neuware -Orthogonal arrays have played a vital role in improving the quality of products manufactured throughout the world. This first book on the subject since its introduction more than fifty years ago serves as a key resource to this area of designing experiments. Most of the arrays obtained by the methods in this book are available electronically. Anyone running experiments - whether in a chemistry lab or a manufacturing plant, or in agricultural or medical research - will find this book useful.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 452 pp. Englisch.

Buch. Condizione: Neu. Neuware -The importance of polyamines for all living cells has been recognized since spermine was discovered in human semen more than 300 years ago. Polyamine research intensified when analytical methods were developed for their determination, particularly in tissues and biological fluids. Discovering their close correlation with cancer, and that polyamine concentrations change during the cell cycle, gave reason for further research in this topic.Polyamines in Health and Nutrition concentrates on the direction of polyamine research which has the capacity to influence and benefit our health and which can explain some of the discrepancies and failures of earlier research. It is important to recognize the dietary contribution to the polyamine body pool and to investigate how the polyamine content of the diet can be changed, with the ultimate aim of using this information to improve our health.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 356 pp. Englisch.

Buch. Condizione: Neu. Neuware -Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.

Buch. Condizione: Neu. Neuware - Intended for graduates and researchers in physics, chemistry, biology, and applied mathematics, this book provides an up-to-date introduction to current research in fluctuations in spatially extended systems. It covers the theory of stochastic partial differential equations and gives an overview of the effects of external noise on dynamical systems with spatial degrees of freedom. Starting with a general introduction to noise-induced phenomena in dynamical systems, the text moves on to an extensive discussion of analytical and numerical tools needed to gain information from stochastic partial differential equations. It then turns to particular problems described by stochastic PDEs, covering a wide part of the rich phenomenology of spatially extended systems, such as nonequilibrium phase transitions, domain growth, pattern formation, and front propagation. The only prerequisite is a minimal background knowledge of the Langevin and Fokker-Planck equations.

Buch. Condizione: Neu. Neuware - It is known that the Chapman-Jouguet theory of detonation is based on the assumption of an instantaneous and complete transformation of explosives into detonation products in the wave front. Therefore, one should not expect from the theory any interpretations of the detonation limits, such as shock initiation of det onation and kinetic instability and propagation (failure diameter). The Zeldovich-Von Neuman-Doring (ZND) theory of detonation appeared, in fact, as a response to the need for a theory capable of interpreting such limits, and the ZND detonation theory gave qualitative interpretations to the detonation limits. These interpretations were based essentially on the theoretical notion that the mechanism of explosives transformation at detonation is a combustion of a layer of finite thickness of shock-compressed explosive behind the wave shock front with the velocity of the front. However, some experimental findings turned out to be inconsistent with the the ory. A very small change of homogeneous (liquid) explosives detonation velocity with explosive charge diameter near the rather sizable failure diameter is one of the findings. The elucidation of the nature of this finding has led to the discovery of a new phenomenon. This phenomenon has come to be known as the breakdown (BD) of the explosive self-ignition behind the front of shock waves under the effect of rarefaction waves.

Buch. Condizione: Neu. Neuware -WINNER OF THE 2001 DEGROOT PRIZE!Probabilistic expert systems are graphical networks that support the modelling of uncertainty and decisions in large complex domains, while retaining ease of calculation. Building on original research by the authors over a number of years, this book gives a thorough and rigorous mathematical treatment of the underlying ideas, structures, and algorithms, emphasizing those cases in which exact answers are obtainable. It covers both the updating of probabilistic uncertainty in the light of new evidence, and statistical inference, about unknown probabilities or unknown model structure, in the light of new data. The careful attention to detail will make this work an important reference source for all those involved in the theory and applications of probabilistic expert systems.This book was awarded the first DeGroot Prize by the International Society for Bayesian Analysis for a book making an important, timely, thorough, and notably original contribution to the statistics literature.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 340 pp. Englisch.

Buch. Condizione: Neu. Neuware -Ethnic and international foods have gradually been integrated into the daily diet in North America. However, the existing literature of flavor characteristics and chemistry of such foods remains fragmentary and diverse. This book presents a summary of the current status of knowledge in this area.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 284 pp. Englisch.

Buch. Condizione: Neu. Neuware -As is well known, Pontryagin's maximum principle and Bellman's dynamic programming are the two principal and most commonly used approaches in solving stochastic optimal control problems. \* An interesting phenomenon one can observe from the literature is that these two approaches have been developed separately and independently. Since both methods are used to investigate the same problems, a natural question one will ask is the fol lowing: (Q) What is the relationship betwccn the maximum principlc and dy namic programming in stochastic optimal controls There did exist some researches (prior to the 1980s) on the relationship between these two. Nevertheless, the results usually werestated in heuristic terms and proved under rather restrictive assumptions, which were not satisfied in most cases. In the statement of a Pontryagin-type maximum principle there is an adjoint equation, which is an ordinary differential equation (ODE) in the (finite-dimensional) deterministic case and a stochastic differential equation (SDE) in the stochastic case. The system consisting of the adjoint equa tion, the original state equation, and the maximum condition is referred to as an (extended) Hamiltonian system. On the other hand, in Bellman's dynamic programming, there is a partial differential equation (PDE), of first order in the (finite-dimensional) deterministic case and of second or der in the stochastic case. This is known as a Hamilton-Jacobi-Bellman (HJB) equation.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 464 pp. Englisch.

Buch. Condizione: Neu. Neuware - This book is for all lovers ofmathematics. It is an attempt to under stand the nature of mathematics from the point of view of its most important early source. Even if the material covered by Euclid may be considered ele mentary for the most part, the way in which he presents it has set the standard for more than two thousand years. Knowing Euclid's Elements may be ofthe same importance for a mathematician today as knowing Greek architecture is for an architect. Clearly, no con temporary architect will construct a Doric temple, let alone organize a construction site in the way the ancients did. But for the training ofan architect's aesthetic judgment, a knowledge ofthe Greek her itage is indispensable. I agree with Peter Hilton when he says that genuine mathematics constitutesone ofthe finest expressions ofthe human spirit, and I may add that here as in so many other instances, we have learned that language ofexpression from the Greeks. While presenting geometry and arithmetic Euclid teaches us es sential features of mathematics in a much more general sense. He displays the axiomatic foundation of a mathematical theory and its conscious development towards the solution of a specific problem. We see how abstraction works and enforces the strictly deductive presentation ofa theory. We learn what creative definitions are and v VI ----=P:. . :re:. ::::fa=ce how a conceptual grasp leads to toe classification ofthe relevant ob jects.