Book Description

This volume presents state-of-the-art research in mathematical physics addressed to a broad spectrum of readers, including graduate students, researchers, and others interested in this topic. Contributors to the volume participated in the 13th International Congress on Mathematical Physics held at Imperial College (London, UK). The contributions include, in particular, pedagogical lectures presented at the Young Researchers Symposium (YRS) held in association with the Congress, as well as public lectures given at the Congress, and the contributions from the winners of the Henri Poincaré prize. ... Read more

Book Description

Containing more than 1,000 entries, the Dictionary of Classical and Theoretical Mathematics focuses on mathematical terms and definitions of critical importance to practicing mathematicians and scientists. This single-source reference provides working definitions, meanings of terms, related references, and a list of alternative terms and definitions. The dictionary is one of five constituent works that make up the casebound CRC Comprehensive Dictionary of Mathematics. ... Read more

Book Description

This two-volume set contains selected papers from the conference Groups St. Andrews 2001 in Oxford. Contributed by leading researchers, the articles cover a wide spectrum of modern group theory.Contributions based on lecture courses given by five main speakers are included with refereed survey and research articles. The Groups St. Andrews proceedings volumes represent a view of the state of the art in group theory and often play an important role in future developments in the subject. ... Read more

Book Description

Did you ever wonder why a stitch in time saves nine and not, say, four, or why the number seven is considered the luckiest, or what number the word googol refers to? Well, the Humez brothers, along with Joseph Maguire, have answered all of these questions and more. In "Zero to Lazy Eight", they take us on a wacky and enlightening trip up the linguistic number scale from zero to thirteen and back by way of infinity, showing us just what numbers can tell us about our culture's past, present, and future. Whether it be numerical maxims, mathematical theory, or numeric etymology, there is something here for everyone. ... Read more

Reviews (1)

A Perfect Ten (Five, then, but it should be ten)
As the editorial review stated, phrases containing numbers are integral to our everyday speech, yet we would be in many cases hard pressed to explain what they mean, exactly, or where they came from. This book manages to impart vast amounts of information about these and many other topics in a conversational way that makes it seem natural to go from talking about turtles to discussing the freezing point of the universe. I've used this book as source material for at least one school paper, and for entertainment the rest of the time. Great for anyone interested in the history of words, or of numbers, or of something completly else, as it contains all of this. ... Read more

Book Description

Hardbound. ... Read more

Book Description

This volume comprises selected papers presented at the 12th Winter School on Stochastic Processes and their Applications which was held in Siegmundsburg, Germany in March 2000. The contents include; Backward Stochastic Differential Equations; Semilinear PDE and SPDE; Arbitrage Theory; Credit Derivatives and Models for Correlated Defaults; Three Intertwined Brownian Topics: Exponential Functionals, Winding Numbers and Local TImes. The volume is intended for postgraduates and researchers working in this area of mathematics and provides a useful source of reference. ... Read more

Book Description

. Elsevier's Dictionary of Mathematics contains 11,652 entries with more than 4,750 cross-references. Selection of the terms was based either on their significance or on their frequency of use according to authoritative encyclopedias, dictionaries and textbooks. Included are both modern developments and contemporary changes in terminology as well as recently established terms.

The terminology covers all the major branches from elementary to advanced subjects: arithmetic, algebra, geometry, set theory, discrete mathematics, logic, Boolean algebra, linear algebra, matrix algebra, calculus, differential equations, vector algebra, field theory, probability theory and statistics, optimization, numerical methods, mathematical programming, modern algebra, algebraic structures, computer algebra, category theory, applied mathematics, theory of automata and formal languages, theory of games, theory of graphs, as well as some commonly used entr ... Read more

Book Description

This book presents limit theorems for nonlinear functionals ofrandom fields with singular spectrum on the basis of variousasymptotic expansions. The first chapter treats basic concepts of the spectral theory ofrandom fields, some important examples of random processes and fieldswith singular spectrum, and Tauberian and Abelian theorems forcovariance function of long-memory random fields. Chapter 2 is devotedto limit theorems for spherical averages of nonlinear transformationsof Gaussian and chi-square random fields. Chapter 3 summarises somelimit theorems for geometric type functionals of random fields. Limittheorems for the solutions of Burgers' equation with random data viaparabolic and hyperbolic rescaling are demonstrated in Chapter 4.Lastly, Chapter 5 deals with some problems for statistical analysis ofrandom fields with singular spectrum. Audience: This book will be of interest to mathematicians whouse random fields in engineering or other applications. ... Read more

Book Description

This introduction to noncommutative noetherian rings, accessible to anyone with a basic background in abstract algebra, can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory material is given, and exercises are integrated throughout. New material includes the basic types of quantum groups. ... Read more

Book Description

Hardbound. Papers included in this volume deal with discriminant analysis, clustering techniques and software, multidimensional scaling, statistical, linguistic and artificial intelligence models and methods for pattern recognition and some of their applications. Further examined are the selection of subsets of variables for allocation and discrimination, and reviews of some paradoxes and open questions in the areas of variable selection, dimensionality, sample size and error estimation. ... Read more

Book Description

Hardbound. The aim of this book is to present the fundamental theoretical results concerning inference rules in deductive formal systems. Primary attention is focused on:

• admissible or permissible inference rules

• the derivability of the admissible inference rules

• the structural completeness of logics

• the bases for admissible and valid inference rules.

There is particular emphasis on propositional non-standard logics (primary, superintuitionistic and modal logics) but general logical consequence relations and classical first-order theories are also considered.

The book is basically self-contained and special attention has been made to present the material in a convenient manner for the reader. Proofs of results, many of which are not readily available elsewhere, are also included.

The book is written at a level appropriate for first-year graduate students in mathematics or computer science. Althou ... Read more