Due 2019-12-05
1st ed. 2020, Approx. 600 p.
Printed book
Hardcover
ISBN 978-981-15-0421-1
Discusses recent advances in pure and applied mathematics and their
applications in mathematical modeling
Includes papers in the areas of analysis, topology, dynamical systems
(nonlinear, topological), mathematical modeling, optimization, and mathematical biology
Analyzes recent developments in dynamical systems, with a special emphasis on mathematical biology
This book collects select papers presented at the gInternational Conference on Mathematical
Analysis and Application in Modeling,h held at Jadavpur University, Kolkata, India, on 9?12
January 2018. It discusses new results in cutting-edge areas of several branches of
mathematics and applications, including analysis, topology, dynamical systems (nonlinear,
topological), mathematical modeling, optimization and mathematical biology. The conference
has emerged as a powerful forum, bringing together leading academics, industry experts and
researchers, and offering them a venue to discuss, interact and collaborate in order to
stimulate the advancement of mathematics and its industrial applications.
Due 2019-12-12
1st ed. 2019, XIV, 356 p. 65
illus., 25 illus. in color.
Printed book
Hardcover
ISBN 978-3-030-32010-2
Provides introductory accounts of some of the most active and fascinating
areas of research in modern probability theory
Contains a thorough introduction to each mini-course that will be of value to
both beginners and experts
Presents topics of considerable contemporary interest in a careful and clearmanner
The 2017 PIMS-CRM Summer School in Probability was held at the Pacific Institute for
theMathematical Sciences (PIMS) at the University of British Columbia in Vancouver, Canada,
duringJune 5-30, 2017.It had 125 participants from 20 different countries, and featured two
main courses, three mini-courses, and twenty-nine lectures. The lecture notes contained in this
volume provide introductory accounts of three of the mostactive and fascinating areas of
research in modern probability theory, especially designed for graduate students entering
research: Scaling limits of random trees and random graphs (Christina Goldschmidt) Lectures
on the Ising and Potts models on the hypercubic lattice (Hugo Duminil-Copin) Extrema of the
two-dimensional discrete Gaussian free field (Marek Biskup) Each of these contributions
provides a thorough introduction that will be of value to beginners and experts alike.
Due 2020-01-11
5th ed. 2019, Approx. 535 p.
30 illus.
Printed book
Hardcover
ISBN 978-3-030-32096-6
Features exercises throughout, with additional exercises supplied at the end
of each chapter so that readers can retain theory
Illustrates the practical application of the projective approach to linear models
Includes appendices that with prerequisite background information on linear
algebra and mathematical statistics
Prepared in conjunction with a new edition of Christensen's Advanced Linear
Modeling, so that advanced undergraduate and graduate students have
access to a wealth of revised content in statistical theory
Provides access to accompanying computer code
This textbook provides a wide-ranging introduction to the use and theory of linear models for
analyzing data. The author's emphasis is on providing a unified treatment of linear models,
including analysis of variance models and regression models, based on projections,
orthogonality, and other vector space ideas. Every chapter comes with numerous exercises and
examples that make it ideal for a graduate-level course. All of the standard topics are covered
in depth: estimation including biased and Bayesian estimation, significance testing, ANOVA,
multiple comparisons, regression analysis, and experimental design models. In addition, the
book covers topics that are not usually treated at this level, but which are important in their
own right: best linear and best linear unbiased prediction, split plot models, balanced
incomplete block designs, testing for lack of fit, testing for independence, models with singular
covariance matrices, diagnostics, collinearity, and variable selection. This new edition includes
new sections on alternatives to least squares estimation and the variance-bias tradeoff,
expanded discussion of variable selection, new material on characterizing the interaction space
in an unbalanced two-way ANOVA, Freedman's critique of the sandwich estimator, and much more.
1st ed. 2019, VI, 302 p. 1 illus.
Printed book
Hardcover
9783030328481
Series: PNLDE Subseries in Control
Opens a wide research subject by incorporating the study of synchronization
into the field of control
Introduces a complete theory for treating the exact and approximate
boundary synchronizations for a coupled system of wave equations
Outlines the solutions not only for exact boundary synchronization, but also
for situations where there is further lack of boundary controls for
approximate boundary synchronization
Within this carefully presented monograph, the authors extend the universal phenomenon of
synchronization from finite-dimensional dynamical systems of ordinary differential equations
(ODEs) to infinite-dimensional dynamical systems of partial differential equations (PDEs). By
combining synchronization with controllability, they introduce the study of synchronization to
the field of control and add new perspectives to the investigation of synchronization for
systems of PDEs. With a focus on synchronization for a coupled system of wave equations, the
text is divided into three parts corresponding to Dirichlet, Neumann, and coupled Robin
boundary controls. Each part is then subdivided into chapters detailing exact boundary
synchronization and approximate boundary synchronization, respectively. The core intention is
to give artificial intervention to the evolution of state variables through appropriate boundary
controls for realizing the synchronization in a finite time, creating a novel viewpoint into the
investigation of synchronization for systems of partial differential equations, and revealing
some essentially dissimilar characteristics from systems of ordinary differential equations
Due 2020-01-08
1st ed. 2019, Approx. 220 p.
Printed book
Hardcover
ISBN 978-981-15-0429-7
Showcases fractional calculus as an efficient tool for description, analysis,
modeling, design, and decision making in complex dynamical processes
Discusses recent theories and applications of fractional calculus
Focuses on improvements in physical world models for computer simulation,
analysis, design, and control in practical applications
Is useful to researchers in various fields of mechanics, electricity, chemistry,
biology, medicine, economics, control theory, and signal and image processing
This book collects papers presented at the International Conference on Fractional
Differentiation and its Applications (ICFDA), held at the University of Jordan, Amman, Jordan, on
16?18 July 2018. Organized into 13 chapters, the book discusses the latest trends in various
fields of theoretical and applied fractional calculus. Besides an essential mathematical interest,
its overall goal is a general improvement of the physical world models for the purpose of
computer simulation, analysis, design and control in practical applications. It showcases the
development of fractional calculus as an acceptable tool for a large number of diverse
scientific communities due to more adequate modeling in various fields of mechanics,
electricity, chemistry, biology, medicine, economics, control theory, as well as signal and image
processing. The book will be a valuable resource for graduate students and researchers of
mathematics and engineering.