Series: Advanced Courses in Mathematics - CRM Barcelona
2015, VII, 104 p. 50 illus., 16 illus. in color.
Softcover
ISBN 978-3-0348-0914-6
* Develops concrete examples
* Features specific interplay between various areas in Algebraic
Geometry
* Focusses on the higher-dimensional case
This book focuses on a large class of geometric objects in moduli theory and provides
explicit computations to investigate their families. Concrete examples are developed that
take advantage of the intricate interplay between Algebraic Geometry and Combinatorics.
Compactifications of moduli spaces play a crucial role in Number Theory, String
Theory, and Quantum Field Theory * to mention just a few. In particular, the notion of
compactification of moduli spaces has been crucial for solving various open problems and
long-standing conjectures. Further, the book reports on compactification techniques for
moduli spaces in a large class where computations are possible, namely that of weighted
stable hyperplane arrangements.
Series: Trends in Mathematics
2015, Approx. 310 p.
Hardcover
ISBN 978-3-319-18211-7
* Provides an overview of the current state of application of geometry
in modern physics
* Presents mathematically precise discussions of important topics in
physics
* Features contributions by leading scientists in the field
This book presents a selection of papers based on the XXXIII Bia*owie*a Workshop on
Geometric Methods in Physics, 2014. The Bia*owie*a Workshops are among the most
important meetings in the field and attract researchers from both mathematics and
physics. The articles gathered here are mathematically rigorous and have important
physical implications, addressing the application of geometry in classical and quantum
physics. Despite their long tradition, the workshops remain at the cutting edge of ongoing
research. For the last several years, each Bia*owie*a Workshop has been followed by a
School on Geometry and Physics, where advanced lectures for graduate students and
young researchers are presented; some of the lectures are reproduced here. The unique
atmosphere of the workshop and school is enhanced by its venue, framed by the natural
beauty of the Bia*owie*a forest in eastern Poland.
The volume will be of interest to researchers and graduate students in mathematical
physics, theoretical physics and mathematmtics.
Series: Studies in History and Philosophy of Science, Vol. 40
2015, VII, 268 p.
Hardcover
ISBN 978-3-319-19380-9
* Is an original assessment of Mandeville's work from an
interdisciplinary perspective
* Brings together some of the leading figures in Mandevillean
scholarship
* Fills the need for a comprehensive approach to Mandeville's work in
European philosophical literature
This books brings together new studies on the thought of Bernard de Mandeville.
The chapters reflect a rethinking of de Mandevillefs legacy and, together, present a
comprehensive approach to de Mandevillefs work. The book is published on the occasion
of the 300 years that have passed since the publication of the Fable of the Bees. Bernard
de Mandeville disassembled the dichotomies of traditional moral thinking to show
that the outcomes of the social action emerge as new, non-intentional effects from the
combination of moral opposites, vice and virtue, in such a form that they lose their moral
significance. The work of this great writer, philosopher and physician is interwoven with
an awareness of the paradoxical nature of modern society and the challenges that this
recognition brings to an adequate perspective on the historical world of modernity.
Series: Probability and Its Applications
2015, XXI, 660 p. 17 illus.
Hardcover
ISBN 978-1-4939-2866-8
* Unique resource for rigorous study of stochastic integration theory,
discontinuous processes, and many applications in filtering and
control
* Useful for a wide range of researchers, practicioners, and students
in mathematics, statistics, and engineering Updated and revised to
approach topics with a modern perspective
* New edition includes end of chapter exercises, new chapters,
reworked examples, and an extensive topical index
Completely revised and greatly expanded, the new edition of this text takes readers who
have been exposed to only basic courses in analysis through the modern general theory
of random processes and stochastic integrals as used by systems theorists, electronic
engineers and, more recently, those working in quantitative and mathematical finance.
Building upon the original release of this title, this text will be of great interest to research
mathematicians and graduate students working in those fields, as well as quants in the
finance industry.
End of chapter exercises; New chapters on basic measure theory and Backward SDEs;
Reworked proofs, examples and explanatory material; Increased focus on motivating the
mathematics; Extensive topical index.
"Such a self-contained and complete exposition of stochastic calculus and applications fills
an existing gap in the literature. The book can be recommended for first-year graduate
studies. It will be useful for all who intend to work with stochastic calculus as well as with
its applications."*Zentralblatt (from review of the First Edition)
Series: Springer Series in Statistics
2015, XXII, 558 p. 156 illus., 53 illus.
in color.
Hardcover
ISBN 978-3-319-19424-0
* Fully revised new edition features new material and color figures
* Published with mature, supplementary R package: rms
* New chapters and sections on generalized least squares for analysis
of serial response data, redundancy analysis, bootstrap confidence
intervals for rankings of predictors, expanded material on multiple
imputation and predictive mean matching and more
This highly anticipated second edition features new chapters and sections, 225 new
references, and comprehensive R software. In keeping with the previous edition, this
book is about the art and science of data analysis and predictive modeling, which entails
choosing and using multiple tools. Instead of presenting isolated techniques, this text
emphasizes problem solving strategies that address the many issues arising when
developing multivariable models using real data and not standard textbook examples.
It includes imputation methods for dealing with missing data effectively, methods for
fitting nonlinear relationships and for making the estimation of transformations a formal
part of the modeling process, methods for dealing with "too many variables to analyze
and not enough observations," and powerful model validation techniques based on the
bootstrap. The reader will gain a keen understanding of predictive accuracy, and the
harm of categorizing continuous predictors or outcomes. This text realistically deals
with model uncertainty, and its effects on inference, to achieve "safe data mining." It also
presents many graphical methods for communicating complex regression models to nonstatisticians.
Regression Modeling Strategies presents full-scale case studies of non-trivial datasets
instead of over-simplified illustrations of each method. These case studies use freely
available R functions that make the multiple imputation, model building, validation, and
interpretation tasks described in the book relatively easy to do. Most of the methods
in this text apply to all regression models, but special emphasis is given to multiple
regression using generalized least squares for longitudinal data, the binary logistic
model, models for ordinal responses, parametric survival regression models, and the
Cox semiparametric survival model. A new emphasis is given to the robust analysis of
continuous dependent variables using ordinal regression.
As in the first edition, this text is intended for Masters' or Ph.D. level graduate students
who have had a general introductory probability and statistics course and who are well
versed in ordinary multiple regression and intermediate algebra.