Santner, T.J., Williams, B.J., Notz, W.I., Ohio State University, Columbus, OH

The Design and Analysis of Computer Experiments, 2nd edition

Due 2018-10-25
2nd ed. 2018, XIV, 461 p.
123 illus., 63 illus. in color.
Hardcover
ISBN 978-1-4939-8845-7

New to this revised and expanded edition:

* An expanded presentation of basic material on computer experiments and
Gaussian processes with additional simulations and examples

* A new comparison of plug-in prediction methodologies for real-valued
simulator output

* An enlarged discussion of space-filling designs including Latin Hypercube
designs (LHDs), near-orthogonal designs, and nonrectangular regions

* A chapter length description of process-based designs for optimization, to
improve good overall fit, quantile estimation, and Pareto optimization

This book describes methods for designing and analyzing experiments that are conducted
using a computer code, a computer experiment, and, when possible, a physical experiment.
Computer experiments continue to increase in popularity as surrogates for and adjuncts to
physical experiments. Since the publication of the first edition, there have been many
methodological advances and software developments to implement these new methodologies.
The computer experiments literature has emphasized the construction of algorithms for various
data analysis tasks (design construction, prediction, sensitivity analysis, calibration among
others), and the development of web-based repositories of designs for immediate application.
While it is written at a level that is accessible to readers with Masters-level training in Statistics,
the book is written in sufficient detail to be useful for practitioners and researchers.


Sastry, N.S. Narasimha, Yadav, Manoj Kumar (Eds.), Indian Institute of Technology
Dharwad, Dharwad, India

Group Theory and Computation

Due 2018-10-22
1st ed. 2018, XI, 206 p. 4 illus.
Hardcover
ISBN 978-981-13-2046-0

Discusses theoretical and computational aspects of group theory

Summarizes state-of-the-art research topics on different aspects of group theory

Appeals to researchers in the area of group theory, the computation aspects
of group theory, and related fields

This book is a blend of recent developments in theoretical and computational aspects of group
theory. It presents the state-of-the-art research topics in different aspects of group theory,
namely, character theory, representation theory, integral group rings, the Monster simple group,
computational algorithms and methods on finite groups, finite loops, periodic groups, Camina
groups and generalizations, automorphisms and non-abelian tensor product of groups.
Presenting a collection of invited articles by some of the leading and highly active researchers
in the theory of finite groups and their representations and the Monster group, with a focus on
computational aspects, this book is of particular interest to researchers in the area of group
theory and related fields of mathematics.

Wang, Xiaochang, Texas Tech University, Lubbock, TX, USA

Lecture Notes in Real Analysis

Due 2018-11-09
1st ed. 2018, VIII, 200 p.
23 illus. in color.
Softcover
ISBN 978-3-319-98955-6

Presents graduate-level material in a compact, more intuitive manner

Combines elements from two classic Real Analysis textbooks to provide a
more concise approach to the material

Includes several color illustrations to aid in the explanation of more difficult concepts

This compact textbook is a collection of the authorfs lecture notes for a two-semester graduatelevel
real analysis course. While the material covered is standard, the authorfs approach is
unique in that it combines elements from both Roydenfs and Follandfs classic texts to provide
a more concise and intuitive presentation. Illustrations, examples, and exercises are included
that present Lebesgue integrals, measure theory, and topological spaces in an original and
more accessible way, making difficult concepts easier for students to understand. This text can
be used as a supplementary resource or for individual study.


Carnielli, Walter, Malinowski, Jacek (Eds.), State University of Campinas (UNICAMP),
Campinas, Brazil

Contradictions, from Consistency to Inconsistency

Series
Trends in Logic

Due 2018-10-10
1st ed. 2018, VI, 311 p. 31
illus.
Hardcover
ISBN 978-3-319-98796-5

Investigates what is beyond the Principle of Non-Contradiction

Details groundbreaking ideas on consistency and inconsistency

Explores the foundations of reasoning, including logical systems and
philosophical considerations

This volume investigates what is beyond the Principle of Non-Contradiction. It features 13
papers on the foundations of reasoning, including logical systems and philosophical
considerations. Coverage brings together a cluster of issues centered upon the variety of
meanings of consistency, contradiction, and related notions. Most of the papers, but not all, are
developed around the subtle distinctions between consistency and non-contradiction, as well as
among contradiction, inconsistency, and triviality, and concern one of the above mentioned
threads of the broadly understood non-contradiction principle and the related principle of
explosion. Some others take a perspective that is not too far away from such themes, but with
the freedom to tread new paths. Readers should understand the title of this book in a broad
way,because it is not so obvious to deal with notions like contradictions, consistency,
inconsistency, and triviality. The papers collected here present groundbreaking ideas related to
consistency and inconsistency.


Cetin, Umut, Danilova, Albina, London School of Economics, London

Dynamic Markov Bridges and Market Microstructure
Theory and Applications

Series
Probability Theory and Stochastic Modelling

Due 2018-11-24
1st ed. 2018, XII, 159 p.
Hardcover
ISBN 978-1-4939-8833-4

Cutting-edge interdisciplinary research in the areas of applied statistics,
mathematics, finance, and economics

First comprehensive text on using Dynamic Markov Bridges to study
asymmetric information among market participants

Offers real-world applications of Markov processes to explain and evaluate
market microstructure models

Examines the case of risk-averse market makers and their implications on
equilibrium pricing

This book undertakes a detailed construction of Dynamic Markov Bridges using a combination
of theory and real-world applications to drive home important concepts and methodologies. In
Part I, theory is developed using tools from stochastic filtering, partial differential equations,
Markov processes, and their interplay. Part II is devoted to the applications of the theory
developed in Part I to asymmetric information models among financial agents, which include a
strategic risk-neutral insider whopossesses a private signal concerning the future value of the
traded asset,non-strategic noise traders, and competitive risk-neutral market makers. A
thorough analysis of optimality conditions for risk-neutral insiders isprovided and the
implications on equilibrium of non-Gaussian extensions are discussed. A Markov bridge, first
considered by Paul Levy in the context of Brownian motion,is a mathematical system that
undergoes changes in value from one state to another when the initial and final states are
fixed. Markov bridges have many applications asstochastic models of real-world processes,
especially within the areas of Economics and Finance.

Kotsireas, I.S., Nagurney, A., Pardalos, P.M. (Eds.), Wilfrid Laurier University Department
of Physics & Computer Science, Waterloo, ON, Canada

Dynamics of Disasters Algorithmic Approaches and Applications

Due 2018-12-15
1st ed. 2018, VIII, 210 p.
58 illus., 44 illus. in color.
Hardcover
ISBN 978-3-319-97441-5

Overviews the tactical points involved in disaster relief

Outlines hurdles from mitigation and preparedness to response and recovery

Uses mathematical models to describe natural and manmade disasters

This book surveys new algorithmic approaches and applications to natural and man-made
disasters such as oil spills, hurricanes, earthquakes and wildfires. Based on the gThird
International Conference on Dynamics of Disastersh held in Kalamata, Greece, July 2017, this
Work includes contributions in evacuation logistics, disaster communications between first
responders, disaster relief, and a case study on humanitarian logistics. Multi-disciplinary
theories, tools, techniques and methodologies are linked with disasters from mitigation and
preparedness to response and recovery. The interdisciplinary approach to problems in
economics, optimization, government, management, business, humanities, engineering,
medicine, mathematics, computer science, behavioral studies, emergency services, and
environmental studies will engage readers from a wide variety of fields and backgrounds.