Due 2018-08-07
1st ed. 2018, XIV, 398 p. 56 illus.
Printed book
Hardcover
ISBN 978-3-319-92584-4
Illustrates how the theory of distributions can be applied to solve problems in
the physical and engineering sciences
Includes a robust selection of example problems that can arise in real-life
industrial and scientific labs
Will be a valuable resource for researchers and graduate students who would
like more exposure to probabilistic methods
Continuing the authors’ multivolume project, this text considers the theory of distributions from
an applied perspective, demonstrating how effective a combination of analytic and probabilistic
methods can be for solving problems in the physical and engineering sciences. Volume 1
covered foundational topics such as distributional and fractional calculus, the integral
transform, and wavelets, and Volume 2 explored linear and nonlinear dynamics in continuous
media. With this volume, the scope is extended to the use of distributional tools in the theory
of generalized stochastic processes and fields, and in anomalous fractional random dynamics.
Chapters cover topics such as probability distributions; generalized stochastic processes,
Brownian motion, and the white noise; stochastic differential equations and generalized
random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear,
nonlinear, and multiscale anomalous fractional dynamics in continuous media. The needs of
the applied-sciences audience are addressed by a careful and rich selection of examples
arising in real-life industrial and scientific labs and a thorough discussion of their physical
significance. Numerous illustrations generate a better understanding of the core concepts
discussed in the text, and a large number of exercises at the end of each chapter expand on
these concepts.
Due 2018-08-03
1st ed. 2018, VIII, 372 p.
Printed book
Hardcover
ISBN 978-3-319-94660-3
Text, Translation, Commentary
Provides text, translation, and critical commentary of Thbit ibn Qurra's
version of Euclid's work
Contains a new interpretation of the original Greek text
Includes sets of figures for both the text and the translation
This book provides a critical edition, translation, and study of the version of Euclid’streatise
made by Thbit ibn Qurra, which is the earliest Arabic version that we have in its entirety. This
monograph study examines the conceptual differences between the Greek and Arabic versions
of the treatise, beginning with a discussionof the concept of "given" as it was developed by
Greek mathematicians. This is followed by a short account of the various medieval versions of
the text and a discussion of the manuscripts used in this volume. Finally, the Arabic text and
an English translation are provided, followed by a critical commentary
Due 2018-08-04
1st ed. 2018, X, 169 p. 3 illus.
Printed book
Softcover
ISBN 978-3-319-94131-8
Several coarse properties of leaves are shown to hold, either for residually
many or for meagerly many leaves
New coarse concepts are introduced to study this residual-meager dichotomy
Numerous examples illustrate the results
Includes a variety of open problems
This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated
space and describes the cases where the generic leaves have the same quasi-isometric
invariants. Every leaf of a compact foliated space has an induced coarse quasi-isometry type,
represented by the coarse metric defined by the length of plaque chains given by any finite
foliated atlas. When there are dense leaves either all dense leaves without holonomy are
uniformly coarsely quasi-isometric to each other, or else every leaf is coarsely quasi-isometric
to just meagerly many other leaves. Moreover, if all leaves are dense, the first alternative is
characterized by a condition on the leaves called coarse quasi-symmetry. Similar results are
proved for more specific coarse invariants, like growth type, asymptotic dimension, and
amenability. The Higson corona of the leaves is also studied. All the results are richly
illustrated with examples. The book is primarily aimed at researchers on foliated spaces. More
generally, specialists in geometric analysis, topological dynamics, or metric geometry may also
benefit from it.
*
Due 2018-09-02
1st ed. 2018, VIII, 76 p.
Printed book
Softcover
ISBN 978-3-319-94291-9
Presents easy-to-follow self-contained material
Includes examples throughout worked out in great detail, with explanations
for every step
Topic is connected to several areas of mathematics
The purpose of this Brief is to give a quick practical introduction into the subject of Toeplitz
operators on Kahler manifolds, via examples, worked out carefully and in detail. Necessary
background is included. Several theorems on asymptotics of Toeplitz operators are reviewed
and illustrated by examples, including the case of tori and the 2-dimensional sphere.
Applications in the context of multisymplectic and hyperkahler geometry are discussed. The
book is suitable for graduate students, advanced undergraduate students, and any researchers.
Due 2018-09-09
1st ed. 2018, XII, 298 p. 17
illus., 7 illus. in color.
Printed book
Softcover
ISBN 978-3-319-94817-1
Outlines cryptography from its earliest roots to its modern use is daily
transactions
Contains numerous problems to practice techniques
Examines classical ciphers, modern public key cryptosystems, and specialized
topics
This text introduces cryptography, from its earliest roots to cryptosystems used today for
secure online communication. Beginning with classical ciphers and their cryptanalysis, this book
proceeds to focus on modern public key cryptosystems such as Diffie-Hellman, ElGamal, RSA,
and elliptic curve cryptography with an analysis of vulnerabilities of these systems and
underlying mathematical issues such as factorization algorithms. Specialized topics such as
zero knowledge proofs, cryptographic voting, coding theory, and new research are covered in
the final section of this book. Aimed at undergraduate students, this book contains a large
selection of problems, ranging from straightforward to difficult, and can be used as a textbook
for classes as well as self-study. Requiring only a solid grounding in basic mathematics, this
book will also appeal to advanced high school students and amateur mathematicians
interested in this fascinating and topical subject.
Due 2018-09-04
1st ed. 2018, Approx. 900 p.
Printed book
Hardcover
ISBN 978-981-13-0835-2
Comprises a self-contained description of all contents, accessible to readers
familiar with integration theory
Provides the shortest available introduction to the theory of Besov spaces,
beginning with Chapter 1
Covers and summarizes two volumes by Hans Triebel, Theory of Function
Spaces I, II
This is a self-contained textbook of the theory of Besov spaces and Triebel?Lizorkin spaces
oriented toward applications to partial differential equations and problems of harmonic
analysis. These include a priori estimates of elliptic differential equations, the T1 theorem,
pseudo-differential operators, the generator of semi-group and spaces on domains, and the
Kato problem. Various function spaces are introduced to overcome the shortcomings of Besov
spaces and Triebel?Lizorkin spaces as well. The only prior knowledge required of readers is
familiarity with integration theory and some elementary functional analysis. Illustrations are
included to show the complicated way in which spaces are defined. Owing to that complexity,
many definitions are required. The necessary terminology is provided at the outset, and the
theory of distributions, L^p spaces, the Hardy?Littlewood maximal operator, and the singular
integral operators are called upon. One of the highlights is that the proof of the Sobolev
embedding theorem is extremely simple. There are two types for each function space: a
homogeneous one and an inhomogeneous one. The theory of function spaces, which readers
usually learn in a standard course, can be readily applied to the inhomogeneous one. However,
that theory is not sufficient for a homogeneous space; it needs to be reinforced with some
knowledge of the theory of distributions. This topic, however subtle, is also covered within this
volume. Additionally, related function spaces?Hardy spaces, bounded mean oscillation spaces,
and Holder continuous spaces?are defined and discussed, and it is shown that they are
special cases of Besov spaces and Triebel?Lizorkin spaces.
Due 2018-09-06
1st ed. 2018, XVI, 512 p. 85 illus.
Printed book
Hardcover
ISBN 978-3-319-94429-6
Presents the first unified proof of the Hall?Paige conjecture
Discusses the actions of groups on designs derived from latin squares
Includes an extensive list of open problems on the construction and structure
of orthomorphism graphs suitable for researchers and graduate students
This monograph presents a unified exposition of latin squares and mutually orthogonal sets of
latin squares based on groups. Its focus is on orthomorphisms and complete mappings of
finite groups, while also offering a complete proof of the Hall?Paige conjecture. The use of
latin squares in constructions of nets, affine planes, projective planes, and transversal designs
also motivates this inquiry. The text begins by introducing fundamental concepts, like the tests
for determining whether a latin square is based on a group, as well as orthomorphisms and
complete mappings. From there, it describes the existence problem for complete mappings of
groups, building up to the proof of the Hall?Paige conjecture. The third part presents a
comprehensive study of orthomorphism graphs of groups, while the last part provides a
discussion of Cartesian projective planes, related combinatorial structures, and a list of open
problems. Expanding the author’s 1992 monograph, Orthomorphism Graphs of Groups, this
book is an essential reference tool for mathematics researchers or graduate students tackling
latin square problems in combinatorics. Its presentation draws on a basic understanding of
finite group theory, finite field theory, linear algebra, and elementary number theory?more
advanced theories are introduced in the text as needed.
Due 2018-09-01
1st ed. 2018, Approx. 500 p.
Printed book
Hardcover
ISBN 978-3-319-94032-8
PIMS Summer School and Workshop, July 27-August 5, 2016
These proceedings comprise two workshops celebrating the accomplishments of David J.
Benson on the occasion of his sixtieth birthday. The papers presented at the meetings were
representative of the many mathematical subjects he has worked on, with an emphasis on
group prepresentations and cohomology.The first workshop was titled "Groups, Representations,
and Cohomology" and held from June 22 to June 27, 2015 atSabhal Mor Ostaigon the Isle of
Skye, Scotland. The second was a combination of a summer school and workshop on the
subject of "Geometric Methods in the Representation Theory of Finite Groups" and took place at
the Pacific Institute for the Mathematical Sciences at the University of British Columbia in
Vancouver from July 27 to August 5, 2016. The contents of the volume include a composite of
both summer school material and workshop-derived survey articles on geometric and
topological aspects of the representation theory of finite groups. The mission of the annually
sponsored Summer Schools is to train and draw new students, and help Ph.D students
transition to independent research.