History of Mathematics, Volume: 31
2007; approx. 315 pp; hardcover
ISBN-10: 0-8218-3969-1
ISBN-13: 978-0-8218-3969-0
The life of Vito Volterra, one of the finest scientists and
mathematicians Italy ever produced, spans the period from the
unification of the Italian peninsula in 1860 to the onset of the
Second World War--an era of unparalleled progress and
unprecedented turmoil in the history of Europe. Born into an
Italian Jewish family in the year of the liberation of Italy's
Jewish ghettos, Volterra was barely in his twenties when he made
his name as a mathematician and took his place as a leading light
in Italy's modern scientific renaissance. By his early forties,
he was a world-renowned mathematician, a sought-after figure in
European intellectual and social circles, the undisputed head of
Italy's mathematics and physics school--and still living with his
mother, who decided the time was ripe to arrange his marriage.
When Italy entered World War I in 1915, the fifty-five-year-old
Volterra served with distinction and verve as a lieutenant and
did not put on civilian clothes again until the Armistice of 1918.
By 1925, he was president of the world's oldest scientific
society, the Accademia dei Lincei, the founder and president of
Italy's National Research Council, a mentor to the brilliant and
restless Enrico Fermi, and "Mr. Italian Science" to the
rest of the world. But none of this was enough to keep the
government of Benito Mussolini from stripping him of all his
honors and affiliations in 1931, when he was one of only twelve
professors in the entire country to refuse to sign an oath of
loyalty to the Fascist regime.
This book, based in part on unpublished personal letters and
interviews, traces the extraordinary life and times of one of
Europe's foremost scientists and mathematicians, from his teenage
struggles to avoid the stifling life of a "respectable"
bank clerk in Florence, to his seminal mathematical work--which
today influences fields as diverse as economics, physics, and
ecology--and from his spirited support of Italy's scientific and
democratic institutions during his years as an Italian Senator,
to his steadfast defiance of the Fascists and Mussolini. In
recounting the life of this outstanding scientist, European
Jewish intellectual, committed Italian patriot, and devoted if
frequently distracted family man, The Volterra Chronicles depicts
a remarkable individual in a prodigious age and takes the reader
on a vivid and splendidly detailed historical journey.
Copublished with the London Mathematical Society beginning with
Volume 4. Members of the LMS may order directly from the AMS at
the AMS member price. The LMS is registered with the Charity
Commissioners.
Readership
Undergraduates interested in history and the history of
mathematics.
Table of Contents
"The Jewish mathematician"
"A new era is dawning," 1860
"This, above all, I promise," 1863-1870
"That damned passion," 1874-1877
"Long live the republic," 1878-1882
"Professor by deed," 1880-1883
"Our professor of small intervals," 1883-1893
"The life I live," 1887-1895
"Demonstrations of their resentment," 1893-1900
"God liberate us from his symbols"
"It is the greatest desire of my life," 1900
"Most important for our fatherland"
"Will they create a new world?"
"A political man"
"A professor in America"
"Empires die"
Epilogue
Illustrations
Sir Edmund Whittaker, "Vito Volterra, 1860-1940"
On the attempts to apply mathematics to the biological and social
sciences
Science at the present moment and the new Italian society for the
progress of science
Acknowledgments
Selected bibliography
Notes
Index
Contemporary Mathematics, Volume: 422
2007; approx. 234 pp; softcover
ISBN-10: 0-8218-4201-3
ISBN-13: 978-0-8218-4201-0
This volume contains the proceedings of the Korea-Japan
Conference on Algebraic Geometry in honor of Igor Dolgachev on
his sixtieth birthday. The articles in this volume explore a wide
variety of problems that illustrate interactions between
algebraic geometry and other branches of mathematics. Among the
topics covered by this volume are algebraic curve theory,
algebraic surface theory, moduli space, automorphic forms,
Mordell-Weil lattices, and automorphisms of hyperkahler manifolds.
This book is an excellent and rich reference source for
researchers.
Readership
Graduate students and research mathematicians interested in
algebraic geometry.
Table of Contents
L. A. Borisov -- Holomorphic Eisenstein series with Jacobian
twists
E. Dardanelli and B. van Geemen -- Hessians and the moduli space
of cubic surfaces
M. Gizatullin -- On covariants of plane quartic associated to its
even theta characteristic
J. Keum -- A rationality criterion for projective surfaces-Partial
solution to Kollar's conjecture
S. Kondo -- The moduli space of 8 points on mathbb{P}^1 and
automorphic forms
E. Looijenga -- Invariants of quartic plane curves as automorphic
forms
V. V. Nikulin -- On correspondences of a K3 surface with itself.
II
K. Oguiso -- Automorphisms of hyperkahler manifolds in the view
of topological entropy
I. Shimada and D.-Q. Zhang -- K3 surfaces with ten cusps
T. Shioda -- Classical Kummer surfaces and Mordell-Weil lattices
D.-Q. Zhang -- Niemeier lattices and K3 groups
The first book on Geometric Algebra for programmers in
computer graphics and entertainment computing
Written by leaders in the field providing essential information
on this new technique for 3D graphics
This full colour book includes a website with GAViewer, a program
to experiment with GA
Contents
Preface; 1 Introduction; 2 The Spanning Product of Geometric
Algebra; 3 The Metric Products of Geometric Algebra; 4 Linear
Transformations of Subspaces; 5 The Fundamental Product of
Geometric Algebra; 6 Rotations and Reflections as Versors; 7
Homogeneous Models of Geometry; 8 The Conformal Model of
Euclidean Geometry; 9 Structure; 10 Using the Geometry; 11 Using
the Geometry in a Ray Tracing Application; 12 Implementation;
Appendices; A. Glossary; B. Matrices; C. Inferior Inner Products;
D. GaViewer
Readership: Professionals working in fields requiring complex
geometric computation such as robotics, computer graphics, and
computer games. Students in graduate or advanced undergraduate
programs in computer science.
Series: The Morgan Kaufmann Series in Computer Graphics
ISBN: 0-12-369465-5 Hardback
Measurements: 7 1/2 X 9 1/4 in
Pages: 500
Description
In an age where the amount of data collected from brain imaging
is increasing constantly, it is of critical importance to analyse
those data within an accepted framework to ensure proper
integration and comparison of the information collected. This
book describes the ideas and procedures that underlie the
analysis of signals produced by the brain. The aim is to
understand how the brain works, in terms of its functional
architecture and dynamics. This book provides the background and
methodology for the analysis of all types of brain imaging data,
from functional magnetic resonance imaging to
magnetoencephalography. Critically, Statistical Parametric
Mapping provides a widely accepted conceptual framework which
allows treatment of all these different modalities. This rests on
an understanding of the brain's functional anatomy and the way
that measured signals are caused experimentally. The book takes
the reader from the basic concepts underlying the analysis of
neuroimaging data to cutting edge approaches that would be
difficult to find in any other source. Critically, the material
is presented in an incremental way so that the reader can
understand the precedents for each new development. This book
will be particularly useful to neuroscientists engaged in any
form of brain mapping; who have to contend with the real-world
problems of data analysis and understanding the techniques they
are using. It is primarily a scientific treatment and a didactic
introduction to the analysis of brain imaging data. It can be
used as both a textbook for students and scientists starting to
use the techniques, as well as a reference for practicing
neuroscientists. The book also serves as a companion to the
software packages that have been developed for brain imaging data
analysis.
Contents
INTRODUCTION
A short history of SPM.
Statistical parametric mapping.
Modelling brain responses.
SECTION 1: COMPUTATIONAL ANATOMY
Rigid-body Registration.
Nonlinear Registration.
Segmentation.
Voxel-based Morphometry.
SECTION 2: GENERAL LINEAR MODELS
The General Linear Model.
Contrasts & Classical Inference.
Covariance Components.
Hierarchical models.
Random Effects Analysis.
Analysis of variance.
Convolution models for fMRI.
Efficient Experimental Design for fMRI.
Hierarchical models for EEG/MEG.
SECTION 3: CLASSICAL INFERENCE
Parametric procedures for imaging.
Random Field Theory & inference.
Topological Inference.
False discovery rate procedures.
Non-parametric procedures.
SECTION 4: BAYESIAN INFERENCE
Empirical Bayes & hierarchical models.
Posterior probability maps.
Variational Bayes.
Spatiotemporal models for fMRI.
Spatiotemporal models for EEG.
SECTION 5: BIOPHYSICAL MODELS
Forward models for fMRI.
Forward models for EEG and MEG.
Bayesian inversion of EEG models.
Bayesian inversion for induced responses.
Neuronal models of ensemble dynamics.
Neuronal models of energetics.
Neuronal models of EEG and MEG.
Bayesian inversion of dynamic models
Bayesian model selection & averaging.
SECTION 6: CONNECTIVITY
Functional integration.
Functional Connectivity.
Effective Connectivity.
Nonlinear coupling and Kernels.
Multivariate autoregressive models.
Dynamic Causal Models for fMRI.
Dynamic Causal Models for EEG.
Dynamic Causal Models & Bayesian selection.
APPENDICES
Linear models and inference.
Dynamical systems.
Expectation maximisation.
Variational Bayes under the Laplace approximation.
Kalman Filtering.
Random Field Theory.
Readership: Scientists actively involved in neuroimaging research
and the analysis of data, as well as students at a masters and
doctoral level studying cognitive neuroscience and brain imaging.
ISBN: 0-12-372560-7 Book/Hardback
Measurements: 8 1/2 X 11 in
Pages: 656