0-19-852659-8
Publication date: 7 October 2004
Clarendon Press 398 pages, 234mm x 156mm
Series: London Mathematical Society Monographs
A unique reference presenting the general theory of algebras of
operators on a Hilbert space and the modules over such algebras
All the basic tools and constructions in one comprehensive volume
with detailed notes
Authoritative first-hand account from major contributors to the
field
Description
This invaluable reference tool is the first to present the
general theory of algebras of operators on a Hilbert space, and
the modules over such algebras. The new theory of operator spaces
is presented early on and the text assembles the basic concepts,
theory and methodologies needed to equip a beginning researcher
in this area.
Readership: Graduate students and researchers in functional
analysis, operator algebras, and operator spaces. Also
researchers in related areas such as Banach algebras, function
spaces, or Banach space theory.
Contents
Preface
1 Operator spaces
2 Basic theory of operator algebras
3 Basic theory of operator modules
4 Some 'extremal theory'
5 Completely isomorphic theory of operator algebras
6 Tensor products of operator algebras
7 Selfadjointness criteria
8 C*-modules and operator spaces
Appendix
References
Index
0-19-852759-4
Publication date: 21 October 2004
Clarendon Press 250 pages, none, 234mm x 156mm
Series: Oxford Mathematical Monographs
An indispensible resource; a unique and essential reference for
researchers in the area
Illustrates the amalgam group method
Description
This unique reference illustrates how different methods of finite
group theory including representation theory, cohomology theory,
combinatorial group theory and local analysis are combined to
construct one of the last of the sporadic finite simple groups -
the fourth Janko group J 4.
Readership: Graduate students and researchers in pure
mathematics, particularly in group theory, geometry and algebra.
Contents
Preface
1 Concrete group theory
2 O 10 + (2) as a prototype
3 Modifying the rank 2 amalgam
4 Pentad group 13+12 . (L 3 (2) x Sym 5)
5 Toward 2 + 1+12 . 3 . Aut (M 22)
6 The 1333-dimensional representation
7 Getting the parabolics together
8 173,067,389-vertex graph triangle
9 History and beyond
Appendices
10 Terminology and notation
11 Matthieu groups and their geometries
References
Index
0-19-853079-X
Publication date: October 2004
250 pages, 234mm x 156mm
A major contribution to the study of reasoning
Numerous diagrams
Provides an introduction to central topics in AI and philosophy
Provides new foundations for computational techniques and new
algorithms for automated reasoning in AI
Description
'This book is a remarkable piece of work by a very talented
author ...' -Don Gillies, Professor of the Philosophy of Science
and Mathematics, King's College, London
'Jon Williamson is the ideal person to do this. The book is
fluent, interesting, knowledgeable, fair but suitably provocative
...' -Jeff Paris, Professor of Pure Mathematics, Department of
Mathematics, University of Manchester
'This book marks an important development ... the whole
exposition is something of a tour de force, Williamson's book
will come to be recognised as a major contribution ' -Colin
Howson, Chair in Philosophy of Science, London School of
Economics
Bayesian nets are widely used in artificial intelligence as a
calculus for causal reasoning, enabling machines to make
predictions, perform diagnoses, take decisions and even to
discover causal relationships. This book, aimed at researchers
and graduate students in computer science, mathematics and
philosophy, brings together two important research topics: how to
automate reasoning in artificial intelligence, and the nature of
causality and probability in philosophy.
Readership: Researchers and graduate students in computer
science, mathematics and philosophy.
Contents
Introduction
Probability
Bayesian Nets
Causal Nets: Foundational Problems
Objective Bayesianism
Two-Stage Bayesian Nets
Causality
Discovering Causal Relationships
Epistemic Causality
Recursive Causality
Logic
Language Change
References
Index
0-19-926325-6
Publication date: November 2004
150 pages, 203mm x 135mm
Description
Does logic help determine whether beliefs are rational? David
Christensen argues that it does - but only once we understand
beliefs as coming in degrees. Avoiding mathematical technicality,
he explains why the degree-of-belief approach offers the key to
understanding how logical arguments work. Philosophers working on
formal epistemology and logic, as well as those in related areas
of cognitive psychology and decision theory, will find much to
stimulate them here.
Readership: Scholars and students of philosophy, particularly in
formal epistemology and logic; also those in related fields such
as cognitive psychology and decision theory
Contents
I Logic and Rational Belief
II Two Models of Belief
III Deductive Constraints: Problem Cases, Possible Solutions
IV Arguments for Deductive Cogency
V Logic, Graded Belief, and Preferences
VI Logic and Idealization
0-19-852869-8
Publication date: 17 December 2004
650 pages, More than 200 line drawings, 240mm x 168mm
Series: Numerical Mathematics and Scientific Computation
Completely revised and expanded new edition -- over 50% new
material covering the recent and significant progress in multi-domain
spectral methods
Broad readership -- in computational fluid mechanics, applied and
numerical mathematics, computational mechanics, aerospace and
mechanical engineering and climate/ocean modelling
Contains theoretical and implementation material and state-of-the
art results
Graded exercises
New to this edition
Coverage of the recent and important developments in
discontinuous Galerkin methods, non-tensorial nodal spectral
element methods in simplex domains and on stabilisation and
filtering techniques
Modelling the spectral/hp element applied to less traditional
fields, such as seismology, climate modelling and magneto-hydro-dynamics
(MHD)
Readership: Students, academics and practitioners in
computational fluid mechanics, applied and numerical mathematics,
computational mechanics, aerospace and mechanical engineering and
climate/ocean modelling.
Contents
Introduction
Fundamental concepts in one dimension
Multi-dimensional expansion bases
Multi-dimensional formulations
Diffusion equation
Advection and advection-diffusion
Non-conforming elements
Algorithms for incompressible flows
Incompressible flow simulations:verification and validation
Hyperbolic conservation laws
Appendices
Jacobi polynomials
Gauss-Type integration
Collocation differentiation
Co discontinuous expansion bases
Characteristic flux decomposition
References
Index