Due 2019-10-14
Approx. 350 p.
Printed book
Hardcover
ISBN 978-981-13-9607-6
Features articles on recent theories and applications of mathematical
modelling and numerical simulation
Provides new and efficient numerical approaches for solving linear and nonlinear problems
Contains interdisciplinary approaches to mathematical modelling and its applications
This book contains original research papers presented at the International Conference on
Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur,
India, on 6-8 July, 2018. Organized into 20 chapters, the book focuses on theoretical and
applied aspects of various types of mathematical modelling such as equations of various types,
fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic
nature and the usage of numerical techniques in handling modern problems of science,
engineering and finance. It covers the applications of mathematical modelling in physics,
chemistry, biology, mechanical engineering, civil engineering, computer science, social science
and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous,
discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical
modelling of various problems arising in science and engineering, and also new efficient
numerical approaches for solving linear and nonlinear problems and rigorous mathematical
theories, which can be used to analyze a different kind of mathematical models. The
conference was aimed at fostering cooperation among students and researchers in areas of
applied analysis, engineering and computation with the deliberations to inculcate new research
ideas in their relevant fields. This volume will provide a comprehensive introduction to recent
theories and applications of mathematical modelling and numerical simulation, which will be a
valuable resource for graduate students and researchers of mathematical modelling and
industrial mathematics.
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Due 2019-10-22
1st ed. 2019, VII, 297 p.
Printed book
Hardcover
ISBN 978-3-030-25164-2
Provides the complete ‘Hayman’s List’ of over 500 problems for the first time,
including 31 new problems
Provides research updates on the leading questions in complex analysis
Contains over 1,000 references indexed to the associated problems
In 1967 Walter K. Hayman published ‘Research Problems in Function Theory’, a list of 141
problems in seven areas of function theory. In the decades following, this listwas extended to
include two additional areas of complex analysis, updates on progress in solving existing
problems, and over 520 research problems from mathematicians worldwide.It became known
as ‘Hayman's List’. This Fiftieth Anniversary Edition contains the complete ‘Hayman's List’ for the
first time in book form, along with 31 new problems by leading international mathematicians.
This list has directed complex analysis research for the last half-century, and the new edition
will help guide future research in the subject. The book contains up-to-date information on
each problem, gathered from the international mathematics community, and where possible
suggests directions for further investigation. Aimed at both early career and established
researchers, this book provides the key problems and results needed to progress in the most
important research questions in complex analysis, and documents the developments of the
past 50 years.
Due 2019-10-25
1st ed. 2019, XIV, 478 p. 74
illus., 7 illus. in color.
Printed book
Hardcover
ISBN 978-3-030-25357-8
Emphasizes fundamentals of deductive logic to prepare students for a
coherent collection of core topics in discrete mathematics
Introduces the reading and writing of proofs by using a natural deduction
approach to mathematical logic
Engages students through a wide selection of interesting and novel exercises
Highlights historical developments and connections between topics throughout
This textbook introduces discrete mathematics by emphasizing the importance of reading and
writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic
and proof, this approach suits not only a discrete mathematics course, but can also function as
a transition to proof. Its unique, deductive perspective on mathematical logic provides students
with the tools to more deeply understand mathematical methodology?an approach that the
author has successfully classroom tested for decades. Chapters are helpfully organized so that,
as they escalate in complexity, their underlying connections are easily identifiable. Mathematical
logic and proofs are first introduced before moving onto more complex topics in discrete
mathematics. Some of these topics include: Mathematical and structural induction Set theory
Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions
Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate
undergraduates majoring in mathematics, computer science, engineering, and related subjects
with no formal prerequisites beyond a background in secondary mathematics.
Due 2019-10-16
1st ed. 2019, X, 154 p. 11 illus.
Printed book
Hardcover
ISBN 978-1-4939-9809-8
Features the current state of the art, with elementary models and current
research at the frontiers of the field contained in each chapter
Reviews both common and deadly clinical conditions encountered by neurosurgeons
Expresses a unified approach to modelling brain conditions through the use
of biomechanics and its extensions, giving readers a high-level perspective of
clinical conditions of the brain
This monograph aims to provide a rigorous yet accessible presentation of some fundamental
concepts used in modeling brain mechanics and give a glimpse of the insights and advances
that havearisen as a result of the nascent interaction of the mathematical and neurosurgical
sciences. It begins withsome historical perspective and a brief synopsis of the biomedical
/biological manifestations of the clinical conditions/diseases considered. Each chapter proceeds
with a discussion of thevarious mathematical models of the problems considered, starting with
the simplest models and proceeding tomore complex models where necessary. A detailed list
of relevant references is provided at the end of eachchapter. With the beginningresearch
student in mind, the chapters have been crafted to be as self-contained as possible while
addressing different clinical conditions and diseases. The book is intended as a brief
introduction to both theoreticiansand experimentalists interested in brain mechanics, with
directions and guidance for further reading, for those who wish to pursue particular topics in
greater depth. It can also be used as a complementary textbook in a graduate level course for
neuroscientists and neuroengineers.
Due 2019-11-08
1st ed. 2019, VIII, 430 p. 6 illus., 1 illus. in color.
Printed book
Hardcover
ISBN 978-1-4939-9805-0
Contains pioneering works that establish the "nonlinear steepest descent"
method for solving the Riemann-Hilbert problems at the heart of inverse scattering
Provides an introduction and overview of the completely integral method and
its applications in dynamical systems, probability, statistical mechanics, and other areas
Features a comprehensive survey of results for the Benjamin-Ono and
Intermediate Long-Wave equations
This volume contains lectures and invited papers from the Focus Program on "Nonlinear
Dispersive Partial Differential Equations and Inverse Scattering" held at the Fields Institute
from July 31-August 18, 2017. The conference brought together researchers in completely
integrable systems and PDE with the goal of advancing the understanding of qualitative and
long-time behavior in dispersive nonlinear equations. The program included Percy Deift’s
Coxeter lectures, which appear in this volume together with tutorial lectures given during the
first week of the focus program. The research papers collected here include new results on the
focusing nonlinear Schrodinger (NLS) equation, the massive Thirring model, and the
BenjaminBona-Mahoney equation as dispersive PDE in one space dimension, as well as
theKadomtsevPetviashviliII equation, the Zakharov-Kuznetsov equation, and the
Gross-Pitaevskii equation as dispersive PDE in two space dimensions.
Due 2019-10-01
1st ed. 2019, XX, 100 p. 19 illus., 3 illus. in color.
Printed book
Softcover
ISBN 978-3-030-26698-1
Gives a brief, accessible, modern review of the history of the development of
the mathematical theory of diffraction
Covers techniques applicable to a wide range of problems
Provides a detailed and well-illustrated explanation of an original method,
missing in the present literature
This book presents a new and original method for the solution of boundary value problems in
angles for second-order elliptic equations with constant coefficients and arbitrary boundary
operators. This method turns out to be applicable to many different areas of mathematical
physics, in particular to diffraction problems in angles and to the study of trapped modes on a
sloping beach. Giving the reader the opportunity to master the techniques of the modern
theory of diffraction, the book introduces methods of distributions, complex Fourier transforms,
pseudo-differential operators, Riemann surfaces, automorphic functions, and the Riemann?
Hilbert problem. The book will be useful for students, postgraduates and specialists interested
in the application of modern mathematics to wave propagation and diffraction problems.