1st ed. 2016, VIII, 383 p. 36 illus., 18 illus. in color.
Hardcover
ISBN 978-3-319-32855-3
Series: Springer Proceedings in Mathematics & Statistics, Vol. 164
Aimed at the community of mathematicians working on ordinary and partial differential
equations, difference equations, and functional equations, this book contains selected
papers based on the presentations at the International Conference on Differential and
Difference Equations and Applications (ICDDEA) 2015, dedicated to the memory of
Professor Georg Sell.
Contributions include new trends in the field of differential and
difference equations, applications of differential and difference equations, as well as
high-level survey results. The main aim of this recurring conference series is to promote,
encourage, cooperate, and bring together researchers in the fields of differential and
difference equations. All areas of differential and difference equations are represented,
with special emphasis on applications.
2016, X, 490 p. 118 illus., 4 illus. in color.
Hardcover
ISBN 978-3-319-29852-8
Series: Springer Texts in Statistics
* Designed for use in full-year courses introducing univariate
and multivariate time series and forecasting at the advanced
undergraduate and graduate levels
* Exercise problems at the end of each chapter reinforce the methods
through use of the programs to study provided data sets
* Appendix teaches ITSM2000 Professional package (available as a
free download); all material is easily applied to R packages and other programs
This book is aimed at the reader who wishes to gain a working knowledge of time series
and forecasting methods as applied to economics, engineering and the natural and social
sciences. It assumes knowledge only of basic calculus, matrix algebra and elementary
statistics. This third edition contains detailed instructions for the use of the professional
version of the Windows-based computer package ITSM2000, now available as a free
download from the Springer Extras website. The logic and tools of time series modelbuilding
are developed in detail. Numerous exercises are included and the software
can be used to analyze and forecast data sets of the user's own choosing.
The book can also be used in conjunction with other time series packages such as those included in
R. The programs in ITSM2000 however are menu-driven and can be used with minimal
investment of time in the computational details.
The core of the book covers stationary processes, ARMA and ARIMA processes,
multivariate time series and state-space models, with an optional chapter on spectral
analysis. Many additional special topics are also covered.
* A chapter devoted to Financial Time Series
* Introductions to Brownian motion, Levy processes and Ito calculus
* An expanded section on continuous-time ARMA processes
Peter J. Brockwell and Richard A.
X, 380 p. 76 illus., 59 illus. in color.
Hardcover
ISBN 978-3-319-32012-0
Series: SEMA SIMAI Springer Series, Vol. 8
* Reviews in detail major recent advances in PDEs, ODEs, Numerical
Analysis and Numerical Simulation
* All contributions written by authoritative experts
* Comprehensive bibliographies at the end of each chapter support
further research
This work collects the most important results presented at the Congress on Differential
Equations and Applications (CEDYA) in Cadiz in 2015. It supports further research in
Differential Equations, Numerical Analysis, Mechanics, Control and Optimization.
In particular, it helps readers gain an overview of specific problems of interest in the
current mathematical research related to Partial Differential Equations, Ordinary
Differential Equations, Numerical Analysis and Numerical Simulation, Control and
Optimization, Numerical Linear Algebra, Dynamical Systems, and Applied Mathematics for
industry.
X, 170 p. 10 illus.
Hardcover
ISBN 978-3-319-32084-7
Series: Springer Proceedings in Mathematics & Statistics, Vol. 161
* Offers a unique collection of contributions on different topics related
to differential geometry and algebra
* Encourages further exploration
* Appeals to readers interested in the applications of geometry and algebra
This volume collects contributions written by different experts in honor of Prof. Jaime
Munoz Masque. It covers a wide variety of research topics, from differential geometry
to algebra, but particularly focuses on the geometric formulation of variational calculus;
geometric mechanics and field theories; symmetries and conservation laws of differential
equations, and pseudo-Riemannian geometry of homogeneous spaces. It also discusses
algebraic applications to cryptography and number theory. It offers state-of-the-art
contributions in the context of current research trends. The final result is a challenging
panoramic view of connecting problems that initially appear distant.
1st ed. 2016, XV, 261 p.
ISBN 978-3-319-32773-0
Series: Ecole d'Ete de Probabilites de Saint-Flour, Vol. 2159
* Starting with the popular Lasso method as its prime example, the
book then extends to a broad family of estimation methods for highdimensional data
* A theoretical basis for sparsity-inducing methods is provided,
together with ways to build confidence intervals and tests
* The focus is on common features of methods for high-dimensional
data and, as such, a potential starting point is given for the analysis
of other methods not treated in the book
Taking the Lasso method as its starting point, this book describes the main ingredients
needed to study general loss functions and sparsity-inducing regularizers. It also provides
a semi-parametric approach to establishing confidence intervals and tests. Sparsityinducing
methods have proven to be very useful in the analysis of high-dimensional data.
Examples include the Lasso and group Lasso methods, and the least squares method
with other norm-penalties, such as the nuclear norm. The illustrations provided include
generalized linear models, density estimation, matrix completion and sparse principal
components. Each chapter ends with a problem section. The book can be used as a
textbook for a graduate or PhD course.
1st ed. 2017, Approx. 240 p.
Softcover
ISBN 978-3-319-33577-3
Series: Advanced Courses in Mathematics - CRM Barcelona
* Presents introductory lectures on different aspects of the modern
perspective on moduli spaces of local systems on surfaces
* Considers both classic and quantum aspects of moduli spaces
* Includes contributions by leading experts in the field
This volume is based on four advanced courses held at the Centre de Recerca Matematica
(CRM), Barcelona.
It presents both background information and recent developments
on selected topics that are experiencing extraordinary growth within the broad research
area of geometry and quantization of moduli spaces.
The lectures focus on the geometry of moduli spaces which are mostly associated to compact
Riemann surfaces and are presented both from classical and quantum perspectives.