Bücher veröffentlicht von Springer New York

The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains eight chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The book can be used as a text or a supplement for a linear algebra and matrix theory class or seminar for senior or graduate students. The only prerequisites are a decent background in elementary linear algebra and calculus. The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other fields.

For anyone artistically inclined, observing the Moon and attempting to sketch or paint it can easily become a passion. The Moon presents a broad array of tone, texture, and form. Capturing this in a painting or sketch at the eyepiece of a telescope - or even with binoculars - develops observational skills, leaves a record of the observation, and can also be a delightful and rewarding pastime. However, the choice of media available is extensive (acrylic paint, oils, pen, charcoal, etc., and even computer art programs), and there is no existing text that fully explains all lunar sketching and painting techniques in each respective medium. This beautiful and graphically rich book fulfills this requirement. It presents detailed step-by-step instructions, in the form of illustrated tutorials for every major medium employed to represent the Moon. It also provides practical advice on how to sketch outdoors at night (not ideal conditions for an artist!). This is easily the most extensive book on the subject of lunar art for amateur astronomers, particularly those observing through a telescope. The diverse features of the lunar surface will attract and entice readers to review the number of different media presented, exciting and inspiring them with the possibilities of learning to depict all of the fascinating aspects of Earth's very own satellite.

If you have ever wondered how we get from the awesome impersonality of the Big Bang universe to the point where living creatures can start to form, and evolve into beings like you, your friends and your family, wonder no more. Steve Miller provides us with a tour through the chemical evolution of the universe, from the formation of the first molecules all the way to the chemicals required for life to evolve. Using a simple Hydrogen molecule ¿ known as H-three-plus - as a guide, he takes us on a journey that starts with the birth of the first stars, and how, in dying, they pour their hearts out into enriching the universe in which we live. Our molecular guide makes its first appearance at the source of the Chemical Cosmos, at a time when only three elements and a total of 11 molecules existed. From those simple beginnings, H-three-plus guides us down river on the violent currents of exploding stars, through the streams of the Interstellar Medium, and into the delta where new stars and planets form. We are finally left on the shores of the sea of life. Along the way, we meet the key characters who have shaped our understanding of the chemistry of the universe, such as Cambridge physicist J.J. Thomson and the Chicago chemist Takeshi Oka. And we are given an insider¿s view of just how astronomers, making use of telescopes and Earth-orbiting satellites, have put together our modern view of the Chemical Cosmos.

With wide-ranging connections to fields from theoretical physics to computer science, Hopf algebras offer students a glimpse at the applications of abstract mathematics. This book is unique in making this engaging subject accessible to advanced undergraduate and beginning graduate students. After providing a self-contained introduction to group and ring theory, the book thoroughly treats the concept of the spectrum of a ring and the Zariski topology. In this way the student transitions smoothly from basic abstract algebra to Hopf algebras. The importance of Hopf orders is underscored with applications to algebraic number theory, Galois module theory and the theory of formal groups. By the end of the book, readers will be familiar with established results in the field and ready to pose research questions of their own.

Reflection groups and their invariant theory provide the main themes of this book and the first two parts focus on these topics. The first 13 chapters deal with reflection groups (Coxeter groups and Weyl groups) in Euclidean Space while the next thirteen chapters study the invariant theory of pseudo-reflection groups. The third part of the book studies conjugacy classes of the elements in reflection and pseudo-reflection groups. The book has evolved from various graduate courses given by the author over the past 10 years. It is intended to be a graduate text, accessible to students with a basic background in algebra.

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 Hald'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.

Differing from other books on the subject, this one uses the framework of constraint databases to provide a natural and powerful generalization of relational databases. An important theme running through the text is showing how relational databases can smoothly develop into constraint databases, without sacrificing any of the benefits of relational databases whilst gaining new advantages. Peter Revesz begins by discussing data models and how queries may be addressed to them. From here, he develops the theory of relational and constraint databases, including Datalog and the relational calculus, concluding with three sample constraint database systems -- DISCO, DINGO, and RATHER. Advanced undergraduates and graduates in computer science will find this a clear introduction to the subject, while professionals and researchers will appreciate this novel perspective on their subject.

For the past 25 years, the Geometrization Program of Thurston has been a driving force for research in 3-manifold topology. This has inspired a surge of activity investigating hyperbolic 3-manifolds (and Kleinian groups), as these manifolds form the largest and least well- understood class of compact 3-manifolds. Familiar and new tools from diverse areas of mathematics have been utilized in these investigations, from topology, geometry, analysis, group theory, and from the point of view of this book, algebra and number theory. This book is aimed at readers already familiar with the basics of hyperbolic 3-manifolds or Kleinian groups, and it is intended to introduce them to the interesting connections with number theory and the tools that will be required to pursue them. While there are a number of texts which cover the topological, geometric and analytical aspects of hyperbolic 3-manifolds, this book is unique in that it deals exclusively with the arithmetic aspects, which are not covered in other texts. Colin Maclachlan is a Reader in the Department of Mathematical Sciences at the University of Aberdeen in Scotland where he has served since 1968. He is a former President of the Edinburgh Mathematical Society. Alan Reid is a Professor in the Department of Mathematics at The University of Texas at Austin. He is a former Royal Society University Research Fellow, Alfred P. Sloan Fellow and winner of the Sir Edmund Whittaker Prize from The Edinburgh Mathematical Society. Both authors have published extensively in the general area of discrete groups, hyperbolic manifolds and low-dimensional topology.

Previous edition sold 2000 copies in 3 years; Explores the subtle connections between Number Theory, Classical Geometry and Modern Algebra; Over 180 illustrations, as well as text and Maple files, are available via the web facilitate understanding: http://mathsgi01.rutgers.edu/cgi-bin/wrap/gtoth/; Contains an insert with 4-color illustrations; Includes numerous examples and worked-out problems

This book provides up-to-date coverage of selected topics in nucleic acid oxidation. The topics have been selected to cover everything from basic chemical mechanisms, repair of damage and the biological and pathological meaning of DNA oxidation. The chapters are authored by leading, research active, international experts in the respective topics.

One of the fundamental questions of Banach space theory is whether every Banach space has a basis. A space with a basis gives us the feeling of familiarity and concreteness, and perhaps a chance to attempt the classification of all Banach spaces and other problems.The main goals of this book are to: introduce the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear analysis in Banach spaces; to do so in a manner accessible to graduate students and researchers who have a foundation in Banach space theory; expose the reader to some current avenues of research in biorthogonal systems in Banach spaces; provide notes and exercises related to the topic, as well as suggesting open problems and possible directions of research.The intended audience will have a basic background in functional analysis. The authors have included numerous exercises, as well as open problems that point to possible directions of research.

Civil and military aircraft - and aerospace vehicles in general - face two related problems:- They depend heavily upon electronic systems and thus must be shielded against electromagnetic interference (EMI). This interference may come in the form of lighting strikes, interference from radio emitters, nuclear electromagnetic pulses (EMP), or even high power microwave (HPM) threats- Environmental conditions including moisture, rain, and pollution from the atmosphere may corrode airframes, skin, and other bonded joints. Most importantly, this corrosion may damage the conductivity and electromagnetic shielding of the vehicleThis book addresses both problems.

Intended for graduate courses or for independent study, this book presents the basic theory of fields. The first part begins with a discussion of polynomials over a ring, the division algorithm, irreducibility, field extensions, and embeddings. The second part is devoted to Galois theory. The third part of the book treats the theory of binomials. The book concludes with a chapter on families of binomials - the Kummer theory.

This text is intended to provide a strong theoretical background in testing hypotheses and decision theory for those who will be practicing in the real worldorwhowillbeparticipatinginthetrainingofreal-worldstatisticiansand biostatisticians. In previous editions of this text, my rhetoric was somewhat tentative. I was saying, in e?ect, "e;Gee guys, permutation methods provide a practical real-world alternative to asymptotic parametric approximations. Why not give them a try?"e; But today, the theory, the software, and the hardware have come together. Distribution-free permutation procedures are the primary method for testing hypotheses. Parametric procedures and the bootstrap are to be reserved for the few situations in which they may be applicable. Four factors have forced this change: 1. Desire by workers in applied ?elds to use the most powerful statistic for their applications. Such workers may not be aware of the fundamental lemma of Neyman and Pearson, but they know that the statistic they wanttouse-acomplexscoreoraratioofscores,doesnothaveanalready well-tabulated distribution. 2. Pressure from regulatory agencies for the use of methods that yield exact signi?cance levels, not approximations. 3. A growing recognition that most real-world data are drawn from mixtures of populations. 4. A growing recognition that missing data is inevitable, balanced designs the exception. Thus, it seems natural that the theory of testing hypothesis and the more general decision theory in which it is embedded should be introduced via the permutation tests. On the other hand, certain relatively robust param- ric tests such as Student's t continue to play an essential role in statistical practice.

The Casual Sky Observer's Pocket Guide offers an observing program for occasional amateur observers looking for some quick, fun astronomy adventures under the stars. In the real world, where time for observing is limited, the weather is seldom perfect, and expensive equipment is not an option, amateur astronomy may not be seen as a worthwhile activity. However, portable and quick-to-set-up instruments are available. A pair of binoculars or a small telescope fills the bill. And the way to make the most of these instruments is described in the Casual Sky Observer's Pocket Guide. Not only does the book feature the best and brightest showpieces of the heavens; it also provides a great deal of physical and environmental data as well as lots of fascinating information and beautiful illustrations that provide a unique perspective on the many treasures within and beyond our home galaxy, the Milky Way--stars, star clusters, other galaxies, and nebulae, all within reach of binoculars or a small telescope.