Series : Advanced Courses in Mathematics - CRM Barcelona
2004, VI, 200 p., Softcover
ISBN: 3-7643-7126-9
About this book
A ring R satisfies a polynomial identity if there is a polynomial
f in noncommuting variables which vanishes under substitutions
from R. For example, commutative rings satisfy the polynomial f(x,y)
= xy - yx and exterior algebras satisfy the polynomial f(x,y,z) =
(xy - yx)z - z(xy - yx). "Satisfying a polynomial identity"
is often regarded as a generalization of commutativity. These
lecture notes treat polynomial identity rings from both the
combinatorial and structural points of view. The former studies
the ideal of polynomial identities satisfied by a ring R. The
latter studies the properties of rings which satisfy a polynomial
identity. The greater part of recent research in polynomial
identity rings is about combinatorial questions, and the
combinatorial part of the lecture notes gives an up-to-date
account of recent research. On the other hand, the main
structural results have been known for some time, and the
emphasis there is on a presentation accessible to newcomers to
the subject. The intended audience is graduate students in
algebra, and researchers in algebra, combinatorics and invariant
theory.
Written for:
Graduates, postgraduates and researchers in Combinatorics and
Algebra; Computer Science, Cryptology
Table of contents
Foreword.- Part A. Combinatorial Aspects in PI-Rings (by V.
Drensky).- Part B. Polynomial Identity Rings (by E. Formanek).-
Bibliography.- Index.
Series : Trends in Mathematics
Volume package: Gardy,D.(Eds):Mathematics, Computer Science
2004, XV, 554 p., Hardcover
ISBN: 3-7643-7128-5
About this book
This book contains invited and contributed papers on
combinatorics, random graphs and networks, algorithms analysis
and trees, branching processes, constituting the Proceedings of
the 3rd International Colloquium on Mathematics and Computer
Science that will be held in Vienna in September 2004. It
addresses a large public in applied mathematics, discrete
mathematics and computer science, including researchers,
teachers, graduate students and engineers. They will find here
current questions in Computer Science and the related modern and
powerful mathematical methods. The range of applications is very
wide and goes beyond Computer Science.
Written for:
Graduates and researchers in applied mathematics, discrete
mathematics and computer science; teachers and engineers
Table of contents
Foreword.- Preface.- Combinatorics and Random Structures.- Graph
Theory.- Analysis of Algorithms.- Trees.- Probability.-
Combinatorial Stochastic Processes.- Applications.- Index.-
Author Index
Series : Progress in Probability , Vol. 58
2004, Approx. 344 p., Hardcover
ISBN: 3-7643-7131-5
About this book
This volume contains twenty refereed research or review papers
presented at the 4th Seminar on Stochastic Processes, Random
Fields and Applications which took place at the Centro Stefano
Franscini (Monte Verita) in Ascona, Switzerland, from May 19 to
24, 2002. The seminar focused mainly on the topics stochastic
partial differential equations, stochastic models in mathematical
physics, and financial engineering. The third topic was the
subject of a minisymposium on stochastic methods in financial
models.
Written for:
Researchers in Probability Theory and Stochastic Analysis;
professionals interested in stochastic methods in Finance and
Insurance
Table of contents
Preface.- List of Participants.- Acknowledgements.- I. Stochastic
Analysis and Random Fields.- II. Stochastic Methods in Financial
Models.
Series : Operator Theory: Advances and Applications , Vol. 155
2004, VIII, 236 p., Hardcover
ISBN: 3-7643-7140-4
About this book
This volume consists of the plenary lectures and invited talks in
the special session on pseudo-differential operators given at the
Fourth Congress of the International Society for Analysis,
Applications and Computation (ISAAC) held at York University in
Toronto, August 11-16, 2003. The theme is to look at pseudo-differential
operators in a very general sense and to report recent advances
in a broad spectrum of topics, such as pde, quantization, filters
and localization operators, modulation spaces, and numerical
experiments in wavelet transforms and orthonormal wavelet bases.
Written for:
Graduates and researchers in operator theory and PDE; researchers
in mathematical physics; engineers
Table of contents
Preface.- Contributions by E. Cordero/F. Nicola/L. Rodino, T.
Krainer/B.-W. Schulze, M. Ruzhansky/M. Sugimoto, G. De Donno, G.
Garello/A. Morando, M.W. Wong, E. Buzano/F. Nicola, E. Cordero/A.
Tabacco, P. Boggiatto, J. Toft, R. Ashino/S.J. Desjardins/C. Heil/M.
Nagase/R. Vaillancourt, R. Ashino/T. Mandai/A. Morimoto, M.A.
Hajji/S. Melkonian/R. Vaillancourt.
Series : Monografie Matematyczne , Vol. 65
2004, Approx. 224 p., Hardcover
ISBN: 3-7643-7123-4
About this book
The aim of this monograph is to introduce the reader to some
modern methods of projective geometry involving certain
techniques of formal geometry. Some of these methods are
illustrated in the first part through the proofs of a number of
results of a rather classical flavor. Motivated by the first
part, in the second formal functions on the formal completion X/Y
of X along a closed subvariety Y is studied, especially the
extension problem of formal functions to rational functions. The
formal methods are then applied back to projective geometry, e.g.,
to homogeneous spaces.
Written for:
Graduates, postgraduates and researchers in Geometry
Table of contents
Introduction.- I. Special Chapters of Projective Geometry (Projective
Varieties, Zak Map, Quasi-homogeneous Singularities,
Cohomological Dimension, Connectedness).- II. Formal Functions in
Algebraic Geometry (Basics, Lefschetz Theory, Meromorphic
Functions, Connectedness, Homogeneous Spaces, Quasi-lines on
Projective Manifolds).- Bibliography.- Notation.- Index.
Series : Die Werke von Daniel Bernoulli , Vol. 8
2004, Approx. 400 pages, Hardcover
ISBN: 3-7643-7007-6
About this book
This second volume on technology is mainly devoted to three prize-winning
memoirs, answering questions related to ship-building which were
proposed by the French Academie Royale des Sciences in the years
1737, 1755, and 1757. The volume hosts two further items: a
popularizing text on astronomy from 1723, and the theory of the
spiral pump, a technical item from 1772. In the introductory part
of the volume every memoir is analysed and extensively
summarized, so the reader should obtain a clear view of the
content in modern terms.
Written for:
Historians of science
Table of contents
From the Contents: General Introduction.- Introductions to the
contained original works.- Discours lu dans l'Assemblee.-
Reflexions sur la meilleure figure a donner aux Ancres.-
Recherches sur la maniere la plus avantageuse.- Principes
Hydrostatiques et Mechaniques.- Expositio theoretica singularis
machinae hydraulicae tiguri Helvetiorum exstructae.