Series: Operator Theory: Advances and Applications , Vol. 171
2006, Approx. 405 p., Hardcover
ISBN-10: 3-7643-7979-0
ISBN-13: 978-3-7643-7979-7
Due: December 2006
About this book
This volume contains contributions originating from the
International Workshop on Operator Theory and Its Applications (IWOTA)
held in Newcastle upon Tyne in July 2004. The articles expertly
cover a broad range of material at the cutting edge of functional
analysis and its applications. Topics include scattering and time
varying systems, pseudodifferential and singular operators,
weighted composition operators and hyperinvariant subspaces, and
interpolation and lifting problems on Hilbert and Krein spaces.
Written for:
Graduates and researchers in Mathematics, Engineering and the
Physical Sciences
Keywords:
functional analysis
operator theory
Table of contents
Preface.- About 24 scientific contributions.
Series: Progress in Computer Science and Applied Logic (PCS) ,
Vol. 24
2007, Approx. 235 p., 110 illus., Hardcover
ISBN-10: 0-8176-4485-7
ISBN-13: 978-0-8176-4485-7
Due: December 2006
About this book
Networks have become nearly ubiquitous and increasingly complex,
and their support of modern enterprise environments has become
fundamental. Accordingly, robust network management techniques
are essential to ensure optimal performance of these networks.
This monograph treats the application of numerous graph-theoretic
algorithms to a comprehensive analysis of dynamic enterprise
networks. Network dynamics analysis yields valuable information
about network performance, efficiency, fault prediction, cost
optimization, indicators and warnings.
The exposition is organized into four relatively independent
parts: an introduction and overview of typical enterprise
networks and the graph theoretical prerequisites for all
algorithms introduced later; an in-depth treatise of usage of
various graph distances for event detection; a detailed
exploration of properties of underlying graphs with modeling
applications; and a theoretical and applied treatment of network
behavior inferencing and forecasting using sequences of graphs.
Based on many years of applied research on generic network
dynamics, this work covers a number of elegant applications (including
many new and experimental results) of traditional graph theory
algorithms and techniques to computationally tractable network
dynamics analysis to motivate network analysts, practitioners and
researchers alike. The material is also suitable for graduate
courses addressing state-of-the-art applications of graph theory
in analysis of dynamic communication networks, dynamic
databasing, and knowledge management.
Written for:
Graduate students, researchers, computer scientists, network
analysts, graph theorists, applied mathematicians and
statisticians
Table of contents
Dedication.- Preface.- Part I: Introduction.- Intranets and
Network Management.- Graph-Theoretic Concepts.- Part II: Event
Detection using Graph Distance.- Matching Graphs with Unique Node
Labels.- Graph Similarity Measures for Abnormal Change Detection.-
Median Graphs for Abnormal Change Detection.- Graph Clustering
for Abnormal Change Detection.- Graph Distance Measures based on
Intragraph Clustering and Cluster Distance.- Matching Sequences
of Graphs.- Part III: Properties of the Underlying Graphs.-
Distances, Clustering, and Small Worlds.- Tournament Scoring.-
Part IV: Prediction and Advanced Distance Measures.- Recovery of
Missing Information in Graph Sequences.- Matching Hierarchical
Graphs.- References.- Index.
2007, Approx. 200 p., Softcover
ISBN-10: 3-7643-7790-9
ISBN-13: 978-3-7643-7790-8
Due: January 2007
About this textbook
The use of Clifford algebras in mathematical physics and
engineering has grown rapidly in recent years. Whereas other
developments have priviledged a geometric approach, the author
uses an algebraic approach which can be introduced as a tensor
product of quaternion algebras and provides a unified calculus
for much of physics.
The book proposes a pedagogical introduction to this new
calculus, based on quaternions, with applications mainly in
special relativity, classical electromagnetism and general
relativity.
The volume is intended for students, researchers and instructors
in physics, applied mathematics and engineering interested in
this new quaternionic Clifford calculus.
Written for:
Advanced undergraduate and graduate students, instructors,
researchers in Algebra, Geometry and Physics
Keywords:
Clifford algebra
electromagnetism
quaternion
relativistic physics
rotation group
tensor product
Table of contents
Foreword.- Introduction.- 1. Quaternions.- 2. Rotation Groups SO(3)
and SO(4).- 3. Complex Quaternions.- 4. Clifford Algebras.- 5.
Symmetry Groups.- 6. Special Relativity.- 7. Classical
Electromagnetism.- 8. General Relativity.- Conclusion.- Solutions
to Exercises.- Appendices.- Bibliography.
Series: Frontiers in Mathematics
2007, Approx. 260 p., Softcover
ISBN-10: 3-7643-7764-X
ISBN-13: 978-3-7643-7764-9
Due: October 2006
About this book
This book highlights important developments on artinian modules
over group rings of generalized nilpotent groups. Along with
traditional topics such as direct decompositions of artinian
modules, criteria of complementability for some important
modules, and criteria of semisimplicity of artinian modules, it
also focuses on recent advanced results on these matters. The
theory of modules over groups has its own specific character that
plays an imperative role here and, for example, allows a
significant generalization of the classical Maschke Theorem on
some classes of infinite groups. Conversely, it leads to
establishing direct decompositions of artinian modules related to
important natural formations, which, in turn, find very efficient
applications in infinite groups.
As self-contained as possible, this book will be useful for
students as well as for experts in group theory, ring theory, and
module theory.
Written for:
Graduates, postgraduates and researchers in algebra
Keywords:
Artinian module
group ring
nilpotent group Print version
Recommend to others
Table of contents
Preface.- Modules with Chain Conditions.- Ranks of Groups.-
Generalized Nilpotent Groups.- Artinian Modules.- Reduction to
Subgroups of Finite Index.- Modules over Dedekind Domains.-
Kovacs-Newman Theorem.- Hartley Classes.- Injectivity of Some
Simple Modules.- Direct Decompositions.- Countability over FC-hypercentral
Groups.- Artinian Modules over Periodic Abelian Groups and over
Abelian Groups of Finite Section Rank.- Nearly Injective Modules.-
Injective Envelopes.- Quasifinite Modules.- Applications.-
Bibliography.- Index.