Copernicus springer okt 2011 (61 risultati)

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Taschenbuch. Condizione: Neu. Neuware -1 Groups.- 2 Graphs.- 3 Chemical Compounds.- 4 Asymptotic Evaluation of the Number of Combinations.- The Legacy of Pólya's Paper: Fifty Years of Pólya Theory.- References.

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Taschenbuch. Condizione: Neu. Neuware - What shall we say of this metamorphosis in passing from finite to infinite Galileo, Two New Sciences As its title suggests, this book was conceived as a prologue to the study of 'Why the calculus works'--otherwise known as analysis. It is in fact a critical reexamination of the infinite pr…ocesses arising in elementary math ematics: Part II reexamines rational and irrational numbers, and their representation as infinite decimals; Part III examines our ideas of length, area, and volume; and Part IV examines the evolution of the modern function-concept. The book may be used in a number of ways: firstly, as a genuine pro logue to analysis; secondly, as a supplementary text within an analysis course, providing a source of elementary motivation, background and ex amples; thirdly, as a kind of postscript to elementary analysis-as in a senior undergraduate course designed to reinforce students' understanding of elementary analysis and of elementary mathematics by considering the mathematical and historical connections between them. But the contents of the book should be of interest to a much wider audience than this including teachers, teachers in training, students in their last year at school, and others interested in mathematics.

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Taschenbuch. Condizione: Neu. Neuware -What shall we say of this metamorphosis in passing from finite to infinite Galileo, Two New Sciences As its title suggests, this book was conceived as a prologue to the study of 'Why the calculus works'--otherwise known as analysis. It is in fact a critical reexamination of the infinite pro…cesses arising in elementary math ematics: Part II reexamines rational and irrational numbers, and their representation as infinite decimals; Part III examines our ideas of length, area, and volume; and Part IV examines the evolution of the modern function-concept. The book may be used in a number of ways: firstly, as a genuine pro logue to analysis; secondly, as a supplementary text within an analysis course, providing a source of elementary motivation, background and ex amples; thirdly, as a kind of postscript to elementary analysis-as in a senior undergraduate course designed to reinforce students' understanding of elementary analysis and of elementary mathematics by considering the mathematical and historical connections between them. But the contents of the book should be of interest to a much wider audience than this including teachers, teachers in training, students in their last year at school, and others interested in mathematics. 320 pp. Englisch.

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Da: Rheinberg-Buch Andreas Meier eK, Bergisch Gladbach, GermaniaRheinberg-Buch Andreas Meier eK
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und c…hemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the 'Hauptsatz' of Section 4 -- a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst. 160 pp. Englisch.

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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Intended for first- or second-year undergraduates, this introduction to discrete mathematics covers the usual topics of such a course, but applies constructivist principles that promote - indeed, require - active participation by t…he student. Working with the programming language ISETL, whose syntax is close to that of standard mathematical language, the student constructs the concepts in her or his mind as a result of constructing them on the computer in the syntax of ISETL. This dramatically different approach allows students to attempt to discover concepts in a 'Socratic' dialog with the computer. The discussion avoids the formal 'definition-theorem' approach and promotes active involvement by the reader by its questioning style. An instructor using this text can expect a lively class whose students develop a deep conceptual understanding rather than simply manipulative skills. Topics covered in this book include: the propositional calculus, operations on sets, basic counting methods, predicate calculus, relations, graphs, functions, and mathematical induction. 212 pp. Englisch.

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Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In 1937 there appeared a paper that was to have a profound influence on the progress of combinatorial enumeration, both in its theoretical and applied aspects. Entitled Kombinatorische Anzahlbest immungen jUr Gruppen, Graphen und c…hemische Verbindungen, it was published in Acta Mathematica, Vol. 68, pp. 145 to 254. Its author, George Polya, was already a mathematician of considerable stature, well-known for outstanding work in many branches of mathematics, particularly analysis. The paper in Question was unusual in that it depended almost entirely on a single theorem -- the 'Hauptsatz' of Section 4 -- a theorem which gave a method for solving a general type of enumera tion problem. On the face of it, this is not something that one would expect to run to over 100 pages. Yet the range of the applica tions of the theorem and of its ramifications was enormous, as Polya clearly showed. In the various sections of his paper he explored many applications to the enumeration of graphs, principally trees, and of chemical isomers, using his theorem to present a comprehen sive and unified treatment of problems which had previously been solved, if at all, only by ad hoc methods. In the final section he investigated the asymptotic properties of these enumerational results, bringing to bear his formidable insight as an analyst. 160 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -'Algebra' fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accommodate a wide variety of instructors and course conten…ts. It contains an unusually large number of illustrative exercises.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 532 pp. Englisch.

Lingua: Inglese
Editore: Springer, Copernicus Okt 2011, 2011
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Group Testing Theory in Network Security explores a new branch of group testing theory with an application which enhances research results in network security. This brief presents new solutions on several advanced network security prob…lems and mathematical frameworks based on the group testing theory, specifically denial-of-service and jamming attacks. A new application of group testing, illustrated in this text, requires additional theories, such as size constraint group testing and connected group testing. Included in this text is a chapter devoted to discussing open problems and suggesting new solutions for various network security problems. This text also exemplifies the connection between mathematical approaches and practical applications to group testing theory in network security. This work will appeal to a multidisciplinary audience with interests in computer communication networks, optimization, and engineering.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 100 pp. Englisch.

Lingua: Inglese
Editore: Springer, Copernicus Okt 2011, 2011
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -During the last two decades, structural equation modeling (SEM) has emerged as a powerful multivariate data analysis tool in social science research settings, especially in the fields of sociology, psychology, and education. Although i…ts roots can be traced back to the first half of this century, when Spearman (1904) developed factor analysis and Wright (1934) introduced path analysis, it was not until the 1970s that the works by Karl Joreskog and his associates (e. g. , Joreskog, 1977; Joreskog and Van Thillo, 1973) began to make general SEM techniques accessible to the social and behavioral science research communities. Today, with the development and increasing avail ability of SEM computer programs, SEM has become a well-established and respected data analysis method, incorporating many of the traditional analysis techniques as special cases. State-of-the-art SEM software packages such as LISREL (Joreskog and Sorbom, 1993a,b) and EQS (Bentler, 1993; Bentler and Wu, 1993) handle a variety of ordinary least squares regression designs as well as complex structural equation models involving variables with arbitrary distributions. Unfortunately, many students and researchers hesitate to use SEM methods, perhaps due to the somewhat complex underlying statistical repre sentation and theory. In my opinion, social science students and researchers can benefit greatly from acquiring knowledge and skills in SEM since the methods-applied appropriately-can provide a bridge between the theo retical and empirical aspects of behavioral research.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 264 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This textbook provides a comprehensive survey of design and analysis of experiments for intercropping experiments. Its main themes are that techniques such as relative indices make it possible to cover a wide variety of conditions, and… that statistical models for density-yield relations enable recommendations to be made to growers of crops.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 324 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book is aimed at advanced undergraduate students and graduatestudents and is intended for a course in numerical analysis andapproximation theory. The author covers topics such as multivariateinterpolation, Peano kernel theory, and… the applications of q-integersto approximation theory, the latter of which have never been fullyexamined in book form before.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 332 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Non-Linear Estimation is a handbook for the practical statistician or modeller interested in fitting and interpreting non-linear models with the aid of a computer. A major theme of the book is the use of 'stable parameter systems'; the…se provide rapid convergence of optimization algorithms, more reliable dispersion matrices and confidence regions for parameters, and easier comparison of rival models. The book provides insights into why some models are difficult to fit, how to combine fits over different data sets, how to improve data collection to reduce prediction variance, and how to program particular models to handle a full range of data sets. The book combines an algebraic, a geometric and a computational approach, and is illustrated with practical examples. A final chapter shows how this approach is implemented in the author's Maximum Likelihood Program, MLP.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 200 pp. Englisch.

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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Agreement assessment techniques are widely used in examining the acceptability of a new or generic process, methodology and/or formulation in areas of lab performance, instrument/assay validation or method comparisons, statistical process con…trol, goodness-of-fit, and individual bioequivalence. Successful applications in these situations require a sound understanding of both the underlying theory and methodological advances in handling real-life problems. This book seeks to effectively blend theory and applications while presenting readers with many practical examples. For instance, in the medical device environment, it is important to know if the newly established lab can reproduce the instrument/assay results from the established but outdating lab. When there is a disagreement, it is important to differentiate the sources of disagreement. In addition to agreement coefficients, accuracy and precision coefficients are introduced and utilized to characterize these sources.This book will appeal to a broad range of statisticians, researchers, practitioners and students, in areas of biomedical devices, psychology, medical research, and others, in which agreement assessment are needed. Many practical illustrative examples will be presented throughout the book in a wide variety of situations for continuous and categorical data.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 180 pp. Englisch.

Lingua: Inglese
Editore: Springer, Copernicus Okt 2011, 2011
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Correlation Theory of Stationary and Related Random Functions is an elementary introduction to the most important part of the theory dealing only with the first and second moments of these functions. This theory is a significant part o…f modern probability theory and offers both intrinsic mathematical interest and many concrete and practical applications. Stationary random functions arise in connection with stationary time series which are so important in many areas of engineering and other applications. This book presents the theory in such a way that it can be understood by readers without specialized mathematical backgrounds, requiring only the knowledge of elementary calculus. The first volume in this two-volume exposition contains the main theory; the supplementary notes and references of the second volume consist of detailed discussions of more specialized questions, some more additional material (which assumes a more thorough mathematical background than the rest of the book) and numerous references to the extensive literature.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 272 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -A rational study of kinematics is a treatment of the subject based on invariants, i.e., quantities that remain essentially unchanged under a change of observer. An observer is understood to be a reference frame supplied with a clock (T…ruesdell 1966). This study will therefore include an introduction to invariants. The language of these is tensor analysis and multilinear algebra, both of which share many isomorphic relations, These subjects are treated in full detail in Ericksen (1960) and Bowen and Wang (1976), and hence will not be included here. Only a short account of notation and definitions will be presented. Moreover, definitions and basic concepts pertaining to the kinematics of rigid bodies will be also included. Although the kinematics of rigid bodies can be regarded as a particular case of the kinematics of continua, the former deserves attention on its own merits for several reasons. One of these is that it describes locally the motions undergone by continua. Another reason is that a whole area of mechanics, known as classical dynamics, is the study of the motions undergone by particles, rigid bodies, and systems thereof.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 152 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The author believes that a good basic understanding of electronics can be achieved by detailed visual analyses of the actual voltage waveforms present in selected circuits. The voltage waveforms included in this text were photographed…using a 35-rrun camera in an attempt to make the book more attractive. This book is intended for the use of students with a variety of backgrounds. For this reason considerable material has been placed in the Appendix for those students who find it useful. The Appendix includes many basic electricity and electronic concepts as well as mathematical derivations that are not vital to the understanding of the circuit being discussed in the text at that time. Also some derivations might be so long that, if included in the text, it could affect the concentration of the student on the circuit being studied. The author has tried to make the book comprehensive enough so that a student could use it as a self-study course, providing one has access to adequate laboratory equipment.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 436 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The 'world' is becoming more and more intractable. We have learned to discern 'systems' in it, we have developed a highly sophisticated math ematical apparatus to 'model'' them, large computer simulation programs handle thousands of eq…uations with zillions of parameters. But how ade quate are these efforts Part One of this volume is a discussion containing some proposals for eliminating the constraints we encounter when approaching complex systems with our models: Is it possible, at all, to design a political or econom ic system without considering killing, torture, and oppression Can we adequately model the present state of affairs while ignoring their often symbolic and paradoxical nature Is it possible to explain teleological concepts such as 'means' and 'ends' in terms of basically 17th century Newtonian mechanics Can we really make appropriate use of the vast a mount of systems concepts without exploring their relations, without de veloping a 'system of systems concepts' And why do more than 95% of all system modelling efforts end in just a heap of printed paper, and nothing else Leading scientists from different disciplines, who have different viewpoints and use very different styles in presenting their message were invited to present their approaches to these and to other problems of equal importance: Either as Plenary Lectures at the Seventh European Meeting on Cybernetics and Systems Research at the University of Vienna, Austria, (Professors Stafford Beer, Helga Nowotny, and Robert Rosen (Ross Ashby Memorial Lecture)) or as Invited Lectures to the Austrian SocietySpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 180 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -David Gale's Mathematical Entertainments columns in the Mathematical Intelligencer, a prime source of entertainment for everyone with an interest in mathematics, are here collected in book form for the first time. Gale has ranged widel…y over the entire field of mathematics yet returns often to favorite concerns: triangles, tilings, the mysterious properties of sequences given by simple recursions, and the peculiar automaton that gives this collection its title. This book requires some familiarity with mathematical concepts but not great sophistication.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 256 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this book we study Markov random functions of several variables. What is traditionally meant by the Markov property for a random process (a random function of one time variable) is connected to the concept of the phase state of the…process and refers to the independence of the behavior of the process in the future from its behavior in the past, given knowledge of its state at the present moment. Extension to a generalized random process immediately raises nontrivial questions about the definition of a suitable' phase state,' so that given the state, future behavior does not depend on past behavior. Attempts to translate the Markov property to random functions of multi-dimensional 'time,' where the role of 'past' and 'future' are taken by arbitrary complementary regions in an appro priate multi-dimensional time domain have, until comparatively recently, been carried out only in the framework of isolated examples. How the Markov property should be formulated for generalized random functions of several variables is the principal question in this book. We think that it has been substantially answered by recent results establishing the Markov property for a whole collection of different classes of random functions. These results are interesting for their applications as well as for the theory. In establishing them, we found it useful to introduce a general probability model which we have called a random field. In this book we investigate random fields on continuous time domains. Contents CHAPTER 1 General Facts About Probability Distributions 1.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 216 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Cal Elgot was a very serious and thoughtful researcher, who with great determi nation attempted to find basic explanations for certain mathematical phenomena as the selection of papers in this volume well illustrate. His approach was,…for the most part, rather finitist and constructivist, and he was inevitably drawn to studies of the process of computation. It seems to me that his early work on decision problems relating automata and logic, starting with his thesis under Roger Lyndon and continuing with joint work with Biichi, Wright, Copi, Rutledge, Mezei, and then later with Rabin, set the stage for his attack on the theory of computation through the abstract treatment of the notion of a machine. This is also apparent in his joint work with A. Robinson reproduced here and in his joint papers with John Shepherdson. Of course in the light of subsequent work on decision problems by Biichi, Rabin, Shelah, and many, many others, the subject has been placed on a completely different plane from what it was when Elgot left the area. But I feel that his papers, results-and style-were very definitely influential at the time and may well have altered the course of the investigation of these problems. As Sammy Eilenberg explains, the next big influence on Elgot's thinking was category theory, which gave him a way of expressing his ideas in a sharply algebraic manner. The joint book with Eilenberg is one illustration of this influence.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 488 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -1 Groups.- 2 Graphs.- 3 Chemical Compounds.- 4 Asymptotic Evaluation of the Number of Combinations.- The Legacy of Pólya's Paper: Fifty Years of Pólya Theory.- References.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 160 pp. Englisch….

Lingua: Inglese
Editore: Springer, Copernicus Okt 2011, 2011
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Interest in the his tory of statistics has grown substantially in recent years and the subject is now covered by a number of excellent books. S. M. Stigler's The History of Statistics (19S6) gives an overview up to 1900 while Anders Ha…ld's two encyclopedic volumes A History of Probability and Statistics before 1750 and A History of Mathematical Statistics f'T'Om 1750 to 1930, published in 1990 and 1995, provide detailed mathematical discussion of the major contributions up to 1930. Hald's books have re moved Isaac Todhunter's A History of Probability from the pedestal which it occupied for a century and a quarter and rendered Karl Pearson's Lec ture Notes of mainly historical interest themselves. Journal papers have appeared on specific topics, especially in the series 'Studies in the History of Probability and Statistics' in Biometrika and in the long sequence of papers in Archive for the History of the Exact Sciences by O. Sheynin. The two volumes of reprinted papers, mostly from Biometrika, issued in 1970 and 1977 have proved particularly valuable. More recently, many important papers published since 1900 have been reprinted with commentaries in the three-volume Breakth'T'Oughs in Statistics (1992-1997). Stigler's Statistics on the Table (1999) provides illuminating vignettes. In addition, specialized books have appeared on particular topics, such as A. I. Dale's A History of Inverse P'T'Obability (1991, 1999) and R. W. Fare brother's Fitting Linear Relationships (199S). The pioneering book on the early period, F. N.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 272 pp. Englisch.

Lingua: Inglese
Editore: Springer, Copernicus Okt 2011, 2011
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The book is intended for graduate or postgraduate students in actuarial science and probability as well as for working actuaries with background in probability. To make the book self-contained, surveys are given on Markov processes, ma…rtingales and point processes. It also contains an introduction to traditional risk theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 188 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The present book is a translation of E. S. Lyapin, A. Va. Aizenshtat, and M. M. Lesokhin's Uprazhneniya po teorii grupp. I have departed somewhat from the original text in the following respects. I) I have used Roman letters to indicat…e sets and their elements, and Greek letters to indicate mappings of sets. The Russian text frequently adopts the opposite usage. 2) I have changed some of the terminology slightly in order to conform with present English usage (e.g., 'inverses' instead of 'regular conjugates'). 3) I have corrected a number of misprints which appeared in the original in addition to those corrections supplied by Professor Lesokhin. 4) The bibliography has been adapted for readers of English. 5) An index of all defined terms has been compiled (by Anita Zitarelli). 6) I have included a multiplication table for the symmetric group on four elements, which is a frequent source of examples andcounterex::Imples both in this book and in all of group theory. I would like to take this opportunity to thank the authors for their permission to publish this translation. Special thanks are extended to Professor Lesokhin for his errata list and for writing the Foreword to the English Edition. I am particularly indebted to Leo F. Boron, who read the entire manuscript and offered many valuable comments. Finally, to my unerring typists Sandra Rossman and Anita Zitarelli, I am sincerely grateful.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 260 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -My Time Is Your Time.- Issues of Beginnings and Endings.- Beginnings of Organic Evolution.- The Beginning of the Beginning in Western Thought.- Death, Literature, and Its Consolations.- On the Beginnings and Endings of Time in Medieval… Judaism and Islam.- A Structuralist View of Biological Origins.- The Origins of Time.- The Relationship Between Our New Sense of Time and Our Sense of An Ending in Tragedy.- The Beginning and End of Time in Physical Cosmology.- Beginnings and Endings: Hesse and Kawabata.- Perspectivity and the Principle of Continuity.- Closure and the Shape of Fictions: The Example of ¿Women in Love¿.- Issues of Music and Time.- Hindu-Buddhist Time in Javanese Gamelan Music.- The Zones of Time in Music and Human Activity.- On Musical Continuity.- The Creation of Audible Time.- Miscellaneous Contributions.- The Branch System Hypothesis: A Critique.- Time Proverbs and Social Change in Belgrade, Yugoslavia.- A Report on the Literature of Time 1900-1980.- 1. A Selected Bibliography of Books.- 2. Periodical Literature¿a Statistical Survey.- 3. A Guide to the Time-related Subject Headings of the Library of Congress.- Membership List.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 320 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The common thread running throughout this volume is the use of geometric methods that serve to unify diverse disciplines and bring together a variety of scientists and mathematicians, in a manner that encourages cross-fertilization. Pr…ofessor J.E. Marsden is a unique figure in this regard as his work has significantly influenced three distinctly separate communities of mathematicians, physicists, and engineers.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 592 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Every positive integer m has a product representation of the form where v, k and the ni are positive integers, and each Ei = ± I. A value can be given for v which is uniform in the m. A representation can be computed so that no ni exce…eds a certain fixed power of 2m, and the number k of terms needed does not exceed a fixed power of log 2m. Consider next the collection of finite probability spaces whose associated measures assume only rational values. Let hex) be a real-valued function which measures the information in an event, depending only upon the probability x with which that event occurs. Assuming hex) to be non negative, and to satisfy certain standard properties, it must have the form -A(x log x + (I - x) 10g(I -x». Except for a renormalization this is the well-known function of Shannon. What do these results have in common They both apply the theory of arithmetic functions. The two widest classes of arithmetic functions are the real-valued additive and the complex-valued multiplicative functions. Beginning in the thirties of this century, the work of Erdos, Kac, Kubilius, Turan and others gave a discipline to the study of the general value distribution of arithmetic func tions by the introduction of ideas, methods and results from the theory of Probability. I gave an account of the resulting extensive and still developing branch of Number Theory in volumes 239/240 of this series, under the title Probabilistic Number Theory.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 484 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Students of topology rightly complain that much of the basic material in the subject cannot easily be found in the literature, at least not in a convenient form. In this book I have tried to take a fresh look at some of this basic mate…rial and to organize it in a coherent fashion. The text is as self-contained as I could reasonably make it and should be quite accessible to anyone who has an elementary knowledge of point-set topology and group theory. This book is based on a course of 16 graduate lectures given at Oxford and elsewhere from time to time. In a course of that length one cannot discuss too many topics without being unduly superficial. However, this was never intended as a treatise on the subject but rather as a short introductory course which will, I hope, prove useful to specialists and non-specialists alike. The introduction contains a description of the contents. No algebraic or differen tial topology is involved, although I have borne in mind the needs of students of those branches of the subject. Exercises for the reader are scattered throughout the text, while suggestions for further reading are contained in the lists of references at the end of each chapter. In most cases these lists include the main sources I have drawn on, but this is not the type of book where it is practicable to give a reference for everything.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 260 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -With the rapid progress and development of mathematical statistical methods, it is becoming more and more important for the student, the in structor, and the researcher in this field to have at their disposal a quick, comprehensive, an…d compact reference source on a very wide range of the field of modern mathematical statistics. This book is an attempt to fulfill this need and is encyclopedic in nature. It is a useful reference for almost every learner involved with mathematical statistics at any level, and may supple ment any textbook on the subject. As the primary audience of this book, we have in mind the beginning busy graduate student who finds it difficult to master basic modern concepts by an examination of a limited number of existing textbooks. To make the book more accessible to a wide range of readers I have kept the mathematical language at a level suitable for those who have had only an introductory undergraduate course on probability and statistics, and basic courses in calculus and linear algebra. No sacrifice, how ever, is made to dispense with rigor. In stating theorems I have not always done so under the weakest possible conditions. This allows the reader to readily verify if such conditions are indeed satisfied in most applications given in modern graduate courses without being lost in extra unnecessary mathematical intricacies. The book is not a mere dictionary of mathematical statistical terms.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 176 pp. Englisch.

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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -The efficiency of the phase-integral method developed by the present au thors has been shown both analytically and numerically in many publica tions. With the inclusion of supplementary quantities, closely related to new Stokes constan…ts and obtained with the aid of comparison equation technique, important classes of problems in which transition points may approach each other become accessible to accurate analytical treatment. The exposition in this monograph is of a mathematical nature but has important physical applications, some examples of which are found in the adjoined papers. Thus, we would like to emphasize that, although we aim at mathematical rigor, our treatment is made primarily with physical needs in mind. To introduce the reader into the background of this book, we start by de scribing the phase-integral approximation of arbitrary order generated from an unspecified base function. This is done in Chapter 1, which is reprinted, after minor changes, from a review article. Chapter 2 is the result of re search work that was pursued during more than two decades, interrupted at times. It started in the sixties, when we were still using a phase-integral approximation, which in our present terminology corresponds to a special choice of the base function. At the time our primary aim was to derive expressions for the supplementary quantities needed in order to obtain an accurate connection formula for a real potential barrier, when the energy lies in the neighborhood of the top of the barrier.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 264 pp. Englisch.