The first monograph devoted exclusively to Line Graphs and Line Digraphs
Provides a comprehensive, historical and up-to-date reference on the subject
Covers line graphs and line digraphs from their origins to current research
In the present era dominated by computers, graph theory has come into its own as an area of
mathematics, prominent for both its theory and its applications. One of the richest and most
studied types of graph structures is that of the line graph, where the focus is more on the
edges of a graph than on the vertices. A subject worthy of exploration in itself, line graphs are
closely connected to other areas of mathematics and computer science. This book is unique in
its extensive coverage of many areas of graph theory applicable to line graphs.The book has
three parts. Part I covers line graphs and their properties, while Part II looks at features that
apply specifically to directed graphs, and Part III presents generalizations and variations of
both line graphs and line digraphs. Line Graphs and Line Digraphsis the first comprehensive
monograph on the topic.With minimal prerequisites, the book is accessible to most
mathematicians and computer scientists who have had an introduction graph theory, and will
be a valuable reference for researchers working in graph theory and related fields
Due 2021-10-19
1st ed. 2021, XVIII, 290 p. 200 illus., 58 illus. in color.
Hardcover : ISBN 978-3-030-81384-0
Product category : Monograph
Series : Developments in Mathematics
Mathematics : Graph Theory
Features a wide range of topics in exciting and fast-growing fields
Emphasizes clear exposition in order to be accessible to a broad audience of
mathematicians
This book highlights a number of recent research advances in the field of symplectic and
contact geometry and topology, and related areas in low-dimensional topology. This field has
experienced significant and exciting growth in the past few decades, and this volume provides
an accessible introduction into many active research problems in this area. The papers were
written with a broad audience in mind so as to reach a wide range of mathematicians at
various levels. Aside from teaching readers about developing research areas, this book will
inspire researchers to ask further questions to continue to advance the field. The volume
contains both original results and survey articles, presenting the results of collaborative
research on a wide range of topics. These projects began at the Research Collaboration
Conference for Women in Symplectic and Contact Geometry and Topology (WiSCon) in July
2019 at ICERM, Brown University. Each group of authors included female and nonbinary
mathematicians at different career levels in mathematics and with varying areas of expertise.
This paved the way for new connections between mathematicians at all career levels, spanning
multiple continents, and resulted in the new collaborations and directions that are featured in
this work.
Due 2021-11-08
1st ed. 2021, VIII, 200 p.90 illus., 64 illus. in color.
Hardcover : ISBN 978-3-030-80978-2
Product category : Contributed volume
Series : Association for Women in Mathematics
Mathematics : Differential Geometry
Presents modern developments in the methodology and applications of statistics
Features review contributions by international experts
Dedicated to C.R. Rao, one of the most outstanding statisticians
Dedicated to one of the most outstanding researchers in the field of statistics, this volume in
honor of C.R. Rao, on the occasion of his 100th birthday, provides a bird’s-eye view of a broad
spectrum of research topics, paralleling C.R. Rao’s wide-ranging research interests. The book’s
contributors comprise a representative sample of the countless number of researchers whose
careers have been influenced by C.R. Rao, through his work or his personal aid and advice. As
such, written by experts from more than 15 countries, the book’s original and review
contributions address topics including statistical inference, distribution theory, estimation theory,
multivariate analysis, hypothesis testing, statistical modeling, design and sampling, shape and
circular analysis, and applications. The book will appeal to statistics researchers, theoretical and
applied alike, and PhD students. Happy Birthday, C.R. Rao!
Due 2021-11-09
1st ed. 2021, XVI, 436 p. 34 illus., 23 illus. in color.
Hardcover : ISBN 978-3-030-83669-6
Product category : Contributed volume
Series : Contributions to Statistics
Statistics : Statistical Theory and Methods
Discusses reliability theory and simulation methods for complex systems
Gives an introduction to uncertainty quantifcation in engineering
Illustrated with applications in aerospace flight modelling
This open accessbook provides an introduction to uncertainty quantication in engineering.
Starting with preliminaries on Bayesian statistics and Monte Carlo methods, followed by
material on imprecise probabilities, it then focuses on reliability theory and simulation methods
for complex systems. The nal two chapters discuss various aspects of aerospace engineering,
considering stochastic model updating from an imprecise Bayesian perspective, and uncertainty
quantication for aerospace ight modelling. Written by experts in the subject, and based on
lectures given at the Second Training School of the European Research and Training Network
UTOPIAE (Uncertainty Treatment and Optimization in Aerospace Engineering), which took place
at Durham University (United Kingdom) from 2 to 6 July 2018, the book offers an essential
resource for students as well as scientists and practitioners
Due 2021-10-28
1st ed. 2022, VIII, 134 p.34 illus., 19 illus. in color.
Softcover : ISBN 978-3-030-83639-9
Product category : Brief
Series : SpringerBriefs in Statistics
Statistics : Statistical Theory and Methods
This book is unique in the domain of representation theory of solvable Lie groups
Solves many problems in relation with many other research fields
Appears as a perfect tool for researchers and beginners in the fields
The purpose of the book is to discuss the latest advances in the theory of unitary
representations and harmonic analysis for solvable Lie groups. The orbit method created by
Kirillov is the most powerful tool to build the ground frame of these theories. Many problems
are studied in the nilpotent case, but several obstacles arise when encompassing exponentially
solvable settings. The book offers the most recent solutions to a number of open questions
that arose over the last decades, presents the newest related results, and offers an alluring
platform for progressing in this research area. The book is unique in the literature for which
the readership extends to graduate students, researchers, and beginners in the fields of
harmonic analysis on solvable homogeneous spaces.
Due 2021-11-11
1st ed. 2021, X, 590 p.
Hardcover : ISBN 978-3-030-82043-5
Product category : Monograph
Series : Springer Monographs in Mathematics
Mathematics : Analysis
A Study Guide with over 300 Solved Exercises
Targets first-year students of fields in which calculus and its applications have a role
Brings over 330 carefully selected, solved problems on Limits, Derivatives, Integrals and more
Can be used as a rich supplementary reading for self-study and for senior high-school students as well
This textbook covers key topics of Elementary Calculus through selected exercises, in a
sequence that facilitates development of problem-solving abilities and techniques. It opens
with an introduction to fundamental facts of mathematical logic, set theory, and pre-calculus,
extending toward functions, limits, derivatives, and integrals. Over 300 solved problems are
approached with a simple, direct style, ordered in a way that positively challenges students and
helps them build self-confidence as they progress. A special final chapter adds five carefully
crafted problems for a comprehensive recap of the work. The book is aimed at first-year
students of fields in which calculus and its applications have a role, including Science,
Technology, Engineering, Mathematics, Economics, Architecture, Management, and Applied
Social Sciences, as well as students of Quantitative Methods courses. It can also serve as rich
supplementary reading for self-study
Due 2021-11-16
1st ed. 2021, X, 310 p. 107 illus.
Hardcover : ISBN 978-3-030-83339-8
Product category : Undergraduate textbook
Mathematics : Real Functions