Edited by
G. Meurant, DCSA/EC, CEA Bruyeres le Chatel, BP 12,
91680 Bruyeres le Chatel, France
Included in series
Studies in Mathematics and its Applications, 28
Description
This book deals with numerical methods for solving large sparse
linear systems of equations, particularly those arising from the
discretization of partial differential equations. It covers both
direct and iterative methods. Direct methods which are considered
are
variants of Gaussian elimination and fast solvers for separable
partial differential equations in rectangular domains. The book
reviews the
classical iterative methods like Jacobi, Gauss-Seidel and
alternating directions algorithms. A particular emphasis is put
on the conjugate
gradient as well as conjugate gradient -like methods for non
symmetric problems. Most efficient preconditioners used to speed
up
convergence are studied. A chapter is devoted to the multigrid
method and the book ends with domain decomposition algorithms
that
are well suited for solving linear systems on parallel computers.
Contents
Introductory Material.
Gaussian elimination for general linear systems.
Gaussian elimination for sparse linear systems
Fast solvers for separable PDEs.
Classical iterative methods.
The conjugate gradient and related methods.
Krylov methods for non--symmetric systems.
Preconditioning.
Multigrid methods.
Hardbound
ISBN: 0-444-50169-X
776 pages
Edited by
P.C. Cheshire, University of Reading, UK and
E.S. Mills, Princeton University, NJ, USA
Included in series
Handbooks in Economics
Description
This volume is a follow-up to the earlier Urban Economics, Volume
2 of Handbook of Regional and Urban Economics, edited by Edwin
Mills. The earlier volume, published in 1987, focussed on urban
economic theory. This new handbook, in contrast, focuses on
applied urban research. The difference is of course in emphasis.
The earlier volume was by no means entirely concerned with
theoretical research and this one is by no means entirely
concerned with applied research.
There have certainly been important theoretical developments
during the last decade, and they are surveyed at appropriate
places in this volume. However, there has been an outpouring of
high quality applied research in urban economics, as in other
specialties. The reasons for the rapid growth of applied research
are not difficult to identify; improved theoretical frameworks
within which to do applied research; improved econometric
techniques and software; more and better data; and, probably most
important, ever cheaper computing power, which is being ever more
widely distributed within the research community, providing
increasingly easy access to and analysis of, data.
Selection and classification of topics to include in this
handbook has inevitably depended on the editors' perceptions of
subjects on which important research has been undertaken. It has
also depended on the availability of authors who were able and
willing to write critical surveys of large amounts of
international research. An attempt was made to include authors
and have them survey research from a variety of countries.
However, there is still a US bias in applied urban research,
partly related to the availability of data and computers but also
to the sheer size of the US research community.
For more information on the Handbooks in Economics series, please
see our home page on http://www.elsevier.nl/locate/hes
Contents
34.
Introduction (P. Cheshire, E.S. Mills).
Part 1: Spatial and Related Topics.
35. Trends in sizes and structures of urban areas (P. Cheshire).
36. Urban areas with decentralized employment: theory and
empirical work (M. White).
37. Quality of life and environmental comparisons (J. Gyourko, M.
Kahn, J. Tracy).
38. Agglomeration economies and urban public infrastructure (R.
Eberts, D. McMillen).
Part 2: Urban Markets.
39. Urban labor markets (G. Crampton).
40. Urban housing markets: theory and policy (C. Whitehead).
41. Hedonic analysis of housing markets (S. Sheppard).
42. Land markets and government intervention (A.W. Evans).
Part 3: Developing Countries.
43. Urbanization in transforming economies (C. Becker, A.R.
Morrison).
44. Economic analysis of housing markets in developing and
transition economies (S. Malpezzi).
45. Poverty in developing countries (E. Pernia, M.G. Quibria).
Part 4: Specific Sectors and Problems.
46. Urban transportation (K. Small, J. Gomez-Ibanez).
47. Sorting and voting: A review of the literature on urban
public finance (S. Ross, J. Yinger).
Bibliographic and Ordering Information
For information about conditions of sale, ordering procedures,
and links to our regional sales offices, please read through our
ordering information.
1999
Hardbound
ISBN: 0-444-82138-4
800 pages
Edited by
J.A. Reggia, University of Maryland, Departments of
Computer Science and Neurology, UMIACS, College Park, MD 20742,
USA,
E. Ruppin, Tel-Aviv University, Departments of Physiology and
Computer Science, Schools of Medicine and Mathematics,
Tel-Aviv 69978, Israel and
D.L. Glanzman, National Institute of Mental Health, The
Neuroscience Centre, Theoretical and Computational Neuroscience
Research Program, Bethesda, MD 20892, USA
Included in series
Progress in Brain Research, 121
Description
This book contains selected contributions of papers, many
presented at the Second International Workshop on Neural Modeling
of Brain Disorders, as well as a few additional papers on related
topics, including a wide range of presentations describing
computational models of neurological, neuropsychological and
psychiatric disorders. It is a unique, comprehensive review of
the state-of-the-art of modeling cognitive and brain disorders,
appealing to a multidisciplinary audience of clinicians,
psychologists, neuroscientists, cognitive scientists, computer
scientists, and other neural network researchers.
The rest of the book is organized along four main themes,
involving memory, neuropsychological, neurological and
psychiatric disorders. In general, the cognitive disorders and
these psychiatric diseases traditionally regarded as
"functional" were modeled along functional lines, while
those disorders traditionally viewed as "organic"
neurological diseases generally drew more from knowledge of the
underlying neurobiology and pathophysiology.
Contents
List of contributors.
Acknowledgements.
Introduction: Understanding brain and cognitive disorders: the
computational perspective (E. Ruppin, J.A. Reggia, D.L.
Glanzman).
I. Memory Disorders.
1. Neuromodulation and the hippocampus: memory function and
dysfunction in a network simulation (M.E. Hasselmo).
2. Cholinergic neuromodulation and Alzheimer's disease: from
single cells to network simulations (E.D. Menschik, L.H. Finkel).
3. Episodic memory in semantic dementia: a computational approach
based on the TraceLink model (K.S. Graham, J.M.J. Murre, J.R.
Hodges).
4. Multimodular networks and semantic memory impairments (D.
Horn, N. Levy, E. Ruppin).
II. Neuropsychology.
5. Understanding failures of learning: Hebbian learning,
competition for representational space, and some preliminary
experimental data (J.L. McClelland, A.
Thomas, B.D. McCandliss, J.A. Fiez).
6. Frames of reference in hemineglect: a computational approach
(A. Pouget, S. Deneve, T.J. Sejnowski).
7. Explaining object-based deficits in unilateral neglect without
object-based frames of reference (M.C. Mozer).
8. Inter-hemispheric competition of sub-cortical structures is a
crucial mechanism in paradoxical lesion effects and spatial
neglect (C.-C. Hilgetag, R. K?tter,
M.P. Young) 9. A new model of letter string encoding: simulating
right neglect dyslexia (C. Whitney, R.S. Berndt).
10. Prosopagnosia in modular neural network models (M.N. Dailey,
G.W. Cottrell).
11. Functional brain imaging and modeling of brain disorders
(M.A. Tagamets, B. Horwitz).
III. Neurology.
12. Unmasking unmasked: neural dynamics following stroke (W.W.
Lytton, S.T. Williams, S.J. Sober).
13. Effects of callosal lesions in a computational model of
single-word reading (J. Chhabra, M. Glezer, Y. Shkuro, S.D.
Gittens, J.A. Reggia).
14. Penumbral tissue damage following acute stroke: a
computational investigation (E. Ruppin, K. Revett, E. Ofer, S.
Goodall, J.A. Reggia) 15. The gating
functions of the basal ganglia in movement control (J.L.
Contreras-Vidal).
16. Motor fluctuations in Parkinson's disease: a postsynaptic
mechanism derived from a striatal model (R. K?tter).
17. Thalamic and thalamocortical mechanisms underlying 3 Hz
spike-and-wave discharges (A. Destexhe, D.A. McCormick, T.J.
Sejnowski).
IV. Psychiatry.
18. Using a speech perception neural network simulation to
explore normal neurodevelopment and hallucinated
"voices" in schizophrenia (R.E. Hoffman, T.H.
McGlashan).
19. Dopamine, cognitive control, and schizophrenia: the gating
model (T. Braver, J. Cohen).
20. Modeling prefrontal cortex delay cells: the role of dopamine
in schizophrenia (A. Reid, D. Willshaw).
21. Neural models of normal and abnormal behavior: what do
schizophrenia, parkinsonism, attention deficit disorder, and
depression have in common? (S.
Grossberg).
22. A neural network model of attention biases in depression
(G.J. Siegle).
Subject Index.
Bibliographic and Ordering Information
For information about conditions of sale, ordering procedures,
and links to our regional sales offices, please read through our
ordering information.
1999
Hardbound
ISBN: 0-444-50175-4
460 pages
Brian H. Flowers, Fellow of the Royal Society,
Fellow and former Rector,
Imperial College, London
Suitable for self-study
Tailor-made for students learning about numerical methods
512 pages, line figures, 234mm x 156mm
Details
Paperback, 0-19-850693-7
Publication date: May 2000
Description
Readership: Advanced undergraduate scientists and engineers
needing anintroduction to C++.
Designed for the many applied mathematicians and engineers who
wish to explore computerized numerical methods, this text
communicates an enthusiasm for the power of C++, an
object-oriented language, as a tool for this kind of work. This
revision of the successful first edition includes for the first
time information on programming in Windows-based environments.
From reviews of the first edition: 'If you are interested in
numerical methods or are looking for a course text this book is
worth your attention.' Journal of the Association of C and C++
Users
Contents/contributors
1 Preliminaries
2 Expressions, statements and functions
3 Errors, theorems and speed
4 Roots of non-linear equations
5 Classes
6 Derived classes and streams
7 Integer arithmetic
8 Tests of randomness
9 Vectors and matrices
10 Direct solution of linear equations
11 Errors in matrix manipulation
12 Iterative solutions of systems of equations
13 Matrix eigenvalue problems
14 Interpolation and data fitting
15 Graphics
16 Differentiation and integration
17 Orthogonal polynomials
18 Differential equations
19 More about differential equations
20 Recursive data types - lists
21 Elements of Fourier analysis
A Source Book in the Foundations of Mathematics, Two-volume
Set
Edited by William Bragg Ewald, Assistant Professor of Law and
Philsophy,
University of Pennsylvania
* Acclaimed and successful in hardback.
* Contains the central reference articles from a central field of
study.
* Reliable translations available for the first time.
Two volumes, 1,440 pages, line figures, 234mm x 156mm
Details
0-19-850537-X
Publication date: February 2000
Hardback, 0-19-853271-7
Publication date: 28 Nov 1996
Description
Readership: Graduate students and researchers in the history and
philosophy of mathematics, or more general history of science.
Anyone wishing to gain an insight into the foundations of modern
mathematical research.
This two-volume work brings together a comprehensive selection of
mathematical works from the period 1707-1930. During this time
the foundations of modern mathematics were laid, and From Kant to
Hilbert provides an overview of the foundational work in each of
the main branches of mathematics with narratives showing how they
are linked.
From Reviews of the Hardback '...well prepared and paves the way
to a profound study of the concerned subject.' E. Knobloch in
Zentrallblatt fE
Mathematik '...the book is a wide-ranging and substantial
contribution to the accessibility of writings on the foundation
of various branches of
mathematics.' I. Grattan-Guinness,History and Philosophy of
Logic.
Contents/contributors
VOLUME 1
Introduction
1 George Berkeley (1685-1753)
2 Colin MacLaurin (1698-1746)
3 Jen LeRond D'Alembert (1717-1783)
4 Immanuel Kant (1724-1804)
5 Johann Heinrich Lambert (1728-1777)
6 Bernard Bolzano (1781-1848)
7 Carl Friedrich Gauss (1777-1855)
8 Duncan Gregory (1813-1844)
9 Augustus De Morgan (1806-1871)
10 William Rowan Hamilton (1805-1865)
11 George Boole (1815-1864)
12 James Joseph Sylvester (1814-1897)
13 William Kingdon Clifford (1845-1879)
14 Arthur Cayley (1821-1895)
15 Charles Sanders Peirce (1839-1914)
VOLUME II
16 Georg Friedrich Bernhard Riemann (1826-1866)
17 Hermann von Helmholtz (1821-1894)
18 Julius Wilhelm Richard Dedekind (1831-1916)
19 Georg Cantor (1845-1918)
20 Leopold Kronecker (1823-1891)
21 Christian Felix Klein (1849-1925)
22 Jules Henri PoincarE(1854-1912)
23 The French analysts
24 David Hilbert (1862-1943)
25 Luitzen Egbertus Jean Brouwer (1881-1966)
26 Ernst Zermelo (1871-1953)
27 Godfrey Harold Hardy (1877-1947)
28 Nicolaus Bourbaki
John Heilbron, Professor of History, University of California
at Berkeley,
Emeritus
Unusual historical approach to the subject
Cross-cultural content
Lavishly illustrated
Places high school mathematics in historical context
Considers applications as well as theories
Prepares the way for the teaching of trigonometry and solid
geometry
320 pages, 246mm x 189mm
Details
Paperback, 0-19-850690-2
Publication date: 2 February 2000
Hardback, 0-19-8500785
Publication date: 11 Jun 1998
Description
Readership: Historians of mathematics and science; teachers of
geometry, especially those wishing to introduce cross-cultural
content into lessons; high school or college students of
mathematics and science; anybody with an interest in geometry and
mathematics
Book reviews from the hardback: 'He has written a marvellous tale
of how, throughout much of recorded history, geometrical thinking
and civilisation have been closely intertwined. ...Definitely a
book to dip into and reflect on - a superior form of brainfood
for the beach this summer perhaps? Heilbron's enthusiasm is
contagious.' Ian Stewart, New Scientist
'The book is wonderfully illustrated. There are diagrams on
almost every page, apt illustrations from older books, and well
chosen photographs,
together with eight colour plates. The appearance of the book is
quite seductive, for which Oxford University Press should be
congratulated.'
Jeremy Gray, Nature 'This is a handsome book, well researched and
entertainingly written. It shows how powerfully a historically
informed
account can communicate. If you thought Euclidean geometry was
somethingonly your great-grandparents did - try it, you will be
surprised.' JuneBarrow-Green, THES
Contents/contributors
Preface
1 An old story
1.1 Euclid and his modern rivals
1.2 Geometry in and as culture
1.3 No royal road
2 From points to proof
2.1 Necessary ingredients
2.2 The size of the Earth
2.3 The point of proof
2.4 Exercises
3 Tricks with triangles
3.1 Bridge of asses
3.2 Practice
3.3 Similarity
3.4 Deception
3.5 Exercises
4 Many cheerful facts about the square of the hypoteneuse
4.1 The Theorem of Pythagoras
4.2 The Chinese Pythagoras
4.3 More trigonometry
4.4 Exercises
Addendum: Programming in Windows
Bibliography
Appendix A: standard.h
Appendix B: restring.h
Appendix C: rational.h
Appendix D: random.h
Appendix E: vecmat.h
Appendix F: stdgraph.h
Appendix G: list.h
Appendix H: screen.h
Dov M Gabbay, Department of Computer Science,
King's College London, M.
Finger, Senior Lecturer in Computer Science, Murdoch University,
Australia, and
M. Reynolds, Dept of Ciencia da Computacao, Brazil
624 pages, 234mm x 156mm
Series: Oxford Logic Guides
Details
Hardback, 0-19-853768-9
Publication date: March 2000
Description
Readership: Graduate students and researchers in mathematical
logic and theoretical computer science.
Mathematical logic is an area of interest to workers in
philosophy and computer science as well as mathematics. This
book, the companion to an already successful volume by the same
authors, deals with an area of logic of interest in computer
science, which considers the particularly rich and complex
effects of time.
Contents/contributors
1 Introduction and overview
2 Temporal logic and automata
3 Branching time
4 Labelled deduction presentation of temporal logics
5 Temporal logic programming
6 Combining temporal logic systems
7 Extensional semantics
8 Intervals and planning
9 Many-dimensional systems and generalized quantifiers
10 The declarative past and imperative future
11 The METATEM programming language
12 METATEM in intensive care
13 Nonmonotonic coding of the declarative past
14 A logical view of temporal databases
15 A logical view of temporal database dynamics
16 Temporal conceptual-level databases
17 Temporal active databases: a background for creating and
detecting time paradoxes
18 Calendar logic