Series
Trends in Mathematics
Due 2019-01-31
1st ed. 2018, XVI, 704 p.
Hardcover
ISBN 978-3-030-01161-1
Detailed up-to-date guide to algebraic approaches to general rough sets and
formal algebraic approaches to vagueness.
Bridges important gaps and connects algebraic approaches to rough sets
with those for other forms of approximate reasoning.
Researchers, teachers and AI consultants at all levels of maturity will find
this book invaluable.
This unique collection of research papers offers a comprehensive and up-to-date guide to
algebraic approaches to rough sets and reasoning with vagueness. It bridges important gaps,
outlines intriguing future research directions, and connects algebraic approaches to rough sets
with those for other forms of approximate reasoning. In addition, the book reworks algebraic
approaches to axiomatic granularity. Given its scope, the book offers a valuable resource for
researchers and teachers in the areas of rough sets and algebras of rough sets, algebraic
logic, non classical logic, fuzzy sets, possibility theory, formal concept analysis, computational
learning theory, category theory, and other formal approaches to vagueness and approximate
reasoning. Consultants in AI and allied fields will also find the book to be of great practical
value.
Series
Lecture Notes in Mathematics
Due 2019-02-10
1st ed. 2018, X, 290 p. 4 illus.
Softcover
ISBN 978-3-030-01275-5
Features a self-contained elaboration of the spectral theory for a specific
integrable system
Provides detailed proofs of all necessary asymptotic estimates
Includes a complete treatment of singular spectral curves
This book develops a spectral theory for the integrable system of 2-dimensional, simply
periodic, complex-valued solutions u of the sinh-Gordon equation. Such solutions (if realvalued)
correspond to certain constant mean curvature surfaces in Euclidean 3-space. Spectral
data for such solutions are defined (following ideas of Hitchin and Bobenko) and the space of
spectral data is described by an asymptotic characterization. Using methods of asymptotic
estimates, the inverse problem for the spectral data is solved along a line, i.e. the solution u is
reconstructed on a line from the spectral data. Finally, a Jacobi variety and Abel map for the
spectral curve are constructed and used to describe the change of the spectral data under
translation of the solution u. The book's primary audience will be research mathematicians
interested in the theory of infinite-dimensional integrable systems, or in the geometry of
constant mean curvature surfaces.
Series
Trends in Mathematics
Due 2019-04-08
1st ed. 2019, Approx. 380 p.
Hardcover
ISBN 978-3-030-01155-0
Contains papers from the XXXVI Biaowiea Workshop on Geometric Methods in
Physics, 2017
Includes studies of noncommutative geometry, Poisson geometry, completely
integrable systems,
quantization, innite-dimensional groups, supergroups and supersymmetry,
quantum groups, Lie groupoids and algebroids, and related topics
This book collects papers based on the XXXVI Biaowiea Workshop on Geometric Methods in
Physics, 2017. The Workshop, which attracts a community of experts active at the crossroads of
mathematics and physics, represents a major annual event in the field. Based on presentations
given at the Workshop, the papers gathered here are previously unpublished, at the cutting
edge of current research, and primarily grounded in geometry and analysis, with applications to
classical and quantum physics. In addition, a Special Session was dedicated to S. Twareque Ali,
a distinguished mathematical physicist at Concordia University, Montreal, who passed away in
January 2016. For the past six years, the Biaowiea Workshops have been complemented by a
School on Geometry and Physics, comprising a series ofadvanced lectures for graduate
students and early-careerresearchers.The abstracts of this yearfs lectures series are also
included here. The unique character of the Workshop-and-School series is due in part to the
venue: a famous historical, cultural and environmental site in the Biaowiea forest, a UNESCO
World Heritage Centre in eastern Poland. Lectures are given in the Nature and Forest Museum,
and local traditions are interwoven with the scientific activities.
Pages: 460
ISBN: 978-981-3274-29-7 (hardcover)
This volume contains original, refereed contributions by researchers from institutions and laboratories across the world that are involved in metrology and testing. They were adapted from presentations made at the eleventh edition of the Advanced Mathematical and Computational Tools Metrology conference held at the University of Strathclyde, Glasgow, in September, organized by IMEKO Technical Committee 21, the National Physical Laboratory, UK, and the University of Strathclyde. The papers present new modeling approaches, algorithms and computational methods for analyzing data from metrology systems and evaluation measurement uncertainty, and describe their applications in a wide range of measurement areas.
This volume is useful to all researchers, engineers and practitioners who need to characterize the capabilities of measurement systems and evaluate measurement data. Through the papers written by experts working in leading institutions, it covers the latest computational approaches and describes applications to current measurement challenges in engineering, environment and life sciences.
Uncertainty Evaluation in Metrology
Monte Carlo and MCMC Methods
Bayesian Data Analysis and Inference Methods
Multi-Fidelity Models and Data
Dynamic Measurement
Analysis of Inter-Laboratory Comparison Data
Analysis of Categorical Data
Signal Processing
Computational Geometry
Researchers, graduate students, academics and professionals in metrology.
Pages: 400
ISBN: 978-981-3276-17-8 (hardcover)
This book is a collection of lecture notes for the LIASFMA Shanghai Summer School on "One-dimensional Hyperbolic Conservation Laws and Their Applications" which was held during August 16 to August 27, 2015 at Shanghai Jiao Tong University, Shanghai, China. This summer school is one of the activities promoted by Sino-French International Associate Laboratory in Applied Mathematics (LIASFMA in short). LIASFMA was established jointly by eight institutions in China and France in 2014, which is aimed at providing a platform for some of the leading French and Chinese mathematicians to conduct in-depth researches, extensive exchanges, and student training in the field of applied mathematics. This summer school has the privilege of being the first summer school of the newly established LIASFMA, which makes it significant.
Exact Boundary Controllability for One Dimensional Quasilinear Hyperbolic Systems (Tatsien Li, Bopeng Rao)
BV Solutions to Hyperbolic Conservation Laws (Rinaldo M Colombo)
An Introduction to Controllability Problems for Entropy Solutions of One-Dimensional Systems of Conservation Laws (Olivier Glass)
Numerical Methods for One-Dimensional Hyperbolic Conservation Laws (Huazhong Tang)
Undergraduate and graduate students and researchers in one-dimensional
hyperbolic conservation laws.