Due 2019-11-24
1st ed. 2019, X, 315 p. 59
illus., 24 illus. in color.
Printed book
Hardcover
ISBN 978-3-030-29613-1
Offers a detailed introduction to and advanced theory of fractional calculus
Pursues a step-by-step approach to solve related problems
Includes material that will be of interest to mathematicians, physicists,
chemists, biologists and engineers
Fractional equations and models play an essential part in the description of anomalous
dynamics in complex systems. Recent developments in the modeling of various physical,
chemical and biological systems have clearly shown that fractional calculus is not just an
exotic mathematical theory, as it might have once seemed. The present book seeks to
demonstrate this using various examples of equations and models with fractional and
generalized operators. Intended for students and researchers in mathematics, physics,
chemistry, biology and engineering, it systematically offers them a wealth of useful tools for
fractional calculus
Due 2019-11-04
1st ed. 2019, X, 270 p. 34
illus., 8 illus. in color.
Printed book
Hardcover
ISBN 978-3-030-27643-0
Offers a taste of the main topics in the field through concrete examples and
geometric applications
Motivates further specialized study by building context and familiarity with
examples
Suits graduate students with only a basic background in topology and
algebraic geometry
Provides comprehensive references throughout to help readers navigate
classic and recent literature
This textbook provides a gentle introduction to intersection homology and perverse sheaves,
where concrete examples and geometric applications motivate concepts throughout. By giving a
taste of the main ideas in the field, the author welcomes new readers to this exciting area at
the crossroads of topology, algebraic geometry, analysis, and differential equations. Those
looking to delve further into the abstract theory will find ample references to facilitate
navigation of both classic and recent literature. Beginning with an introduction to intersection
homology from a geometric and topological viewpoint, the text goes on to develop the sheaftheoretical
perspective. Then algebraic geometry comes to the fore: a brief discussion of
constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the
following chapters include a detailed account of the proof of the Beilinson?Bernstein?Deligne?
Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface
singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s
deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literature
surrounding some recent applications. Intersection Homology & Perverse Sheaves is suitable
for graduate students with a basic background in topology and algebraic geometry. By building
context and familiarity with examples, the text offers an ideal starting point for those entering
the field. This classroom-tested approach opens the door to further study and to current
research.
Due 2019-11-01
1st ed. 2019, X, 419 p. 9
illus., 5 illus. in color.
Printed book
Hardcover
ISBN 978-3-030-26747-6
Highlights new results in methods, problems and applications of operator
theory and harmonic analysis, presented by leading researchers
Touches on recent developments in spectral theory with applications to PDEs
and real-world problems
Focuses on new trends in operator theory and function spaces theory, such as
variable exponent spaces and objects of variable nature
This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods,
Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018)
conference, which was held in Rostov-on-Don, Russia, in April 2018. The book covers a diverse
range of topics in advanced mathematics, including harmonic analysis, functional analysis,
operator theory, function theory, differential equations and fractional analysis ? all fields that
have been intensively developed in recent decades. Direct and inverse problems arising in
mathematical physics are studied and new methods for solving them are presented. Complex
multiparameter objects that require the involvement of operators with variable parameters and
functional spaces, with fractional and even variable exponents, make these approaches all the
more relevant. Given its scope, the book will especially benefit researchers with an interest in
new trends in harmonic analysis and operator theory, though it will also appeal to graduate
students seeking new and intriguing topics for further investigation.
Due 2019-11-08
1st ed. 2019, Approx. 400 p.
10 illus.
Printed book
Hardcover
ISBN 978-3-030-26986-9
Devoted to Prof. Juan J. Nieto, on the occasion of his 60th birthday
Covers a variety of topics linked to Nieto’s scientific work
Intended for researchers involved in nonlinear analysis and boundary value problems
This book is devoted to Prof. Juan J. Nieto, on the occasion of his 60th birthday. Juan Jose
Nieto Roig (born 1958, A Coruna) is a Spanish mathematician, who has been a Professor of
Mathematical Analysis at the University of Santiago de Compostela since 1991. His most
influential contributions to date are in the area of differential equations. Nieto received his
degree in Mathematics from the University of Santiago de Compostela in 1980. He was then
awarded a Fulbright scholarship and moved to the University of Texas at Arlington where he
worked with Professor V. Lakshmikantham. He received his Ph.D. in Mathematics from the
University of Santiago de Compostela in 1983. Nieto's work may be considered to fall within
the ambit of differential equations, and his research interests include fractional calculus, fuzzy
equations and epidemiological models. He is one of the world’s most cited mathematicians
according to Web of Knowledge, and appears in the Thompson Reuters Highly Cited
Researchers list. Nieto has also occupied different positions at the University of Santiago de
Compostela, such as Dean of Mathematics and Director of the Mathematical Institute. He has
also served as an editor for various mathematical journals, and was the editor-in-chief of the
journal Nonlinear Analysis: Real World Applications from 2009 to 2012. In 2016, Nieto was
admitted as a Fellow of the Royal Galician Academy of Sciences. This book consists of
contributions presented at the International Conference on Nonlinear Analysis and Boundary
Value Problems, held in Santiago de Compostela, Spain, 4th-7th September 2018.
Due 2019-11-17
1st ed. 2019, Approx. 250 p.
Printed book
Hardcover
ISBN 978-3-030-29076-4
Includes novel contributions pertaining to the field of statistical mechanics at
large as well as its applications in probability, physics, computer science and biology
Reviews the current state of research in key areas of the statistical mechanics
of disordered and non-disordered systems
Features articles by leading researchers in the field
These proceedings of the conference Advances in Statistical Mechanics, held in Marseille,
France, August 2018,focus on fundamental issues ofequilibrium and non-equilibrium dynamics
for classicalmechanical systems, as well ason open problems in statistical mechanics related to
probability, mathematical physics, computer science,and biology. Statistical mechanics, as
envisioned more than a century ago byBoltzmann,Maxwelland Gibbs, has
recentlyundergonestunning twists and developments which haveturned this old disciplineinto
one ofthe mostactiveareas of truly interdisciplinary and cutting-edge research. The contributions
to thisvolume, with theirratheruniqueblend ofrigorous mathematics and applications,outlinethe
state-of-the-art of this success storyin key subject areas of equilibrium and non-equilibrium
classical and quantum statistical mechanics of both disordered and non-disordered systems.
Aimed at researchers in the broad field of applied modern probability theory, this book, and in
particular the review articles, will also be of interest to graduate students looking for a gentle
introduction to active topics of current research
Due 2019-11-20
1st ed. 2019, Approx. 415 p.
24 illus.
Printed book
Hardcover
ISBN 978-3-030-28664-4
Highlights the latest advances in stochastic modeling, statistical inference
and related applications
Features contributions on high-dimensional statistics, machine learning, big
data, econometrics and time series, quality control, reliability and survival
analysis
Addresses the needs of theoretical and applied researchers alike
This volume presents selected and peer-reviewed contributions from the 14thWorkshop on
Stochastic Models, Statistics and Their Applications, held in Dresden, Germany, on March 6-8,
2019. Addressing the needs of theoretical and applied researchers alike, the contributions
provide an overview of the latest advances and trends in the areas of mathematical statistics
and applied probability, and their applications to high-dimensional statistics, econometrics and
time series analysis, statistics for stochastic processes, statistical machine learning, big data
and data science, random matrix theory, quality control, change-point analysis and detection,
finance, copulas, survival analysis and reliability, sequential experiments, empirical processes,
and microsimulations. As the book demonstrates, stochastic models and related statistical
procedures and algorithms are essential to more comprehensively understanding and solving
present-day problems arising in e.g. the natural sciences, machine learning, data science,
engineering, image analysis, genetics, econometrics and finance
Due 2019-11-27
1st ed. 2019, IX, 231 p. 107
illus., 79 illus. in color.
Printed book
Hardcover
ISBN 978-981-32-9831-6
Offers latest contents and developments in dynamical systems and
bifurcation analysis
Maximizes reader insights into selected topics by active and well-known
researchers
Incorporates a wealth of research on the applications in mathematical
biology and ecology
This book is the result of Southeast Asian Mathematical Society(SEAMS) School 2018 on
Dynamical Systems and Bifurcation Analysis (DySBA). It addresses the latest developments in
the field of dynamical systems, and highlights the importance of numerical continuation studies
in tracking both stable and unstable steady states and bifurcation points to gain better
understanding of the dynamics of the systems. The SEAMS School 2018 on DySBA washeld in
Penang from 6th to 13th Augustat the School of Mathematical Sciences,Universiti Sains
Malaysia.The SEAMS Schools are part of series of intensive study programs that aim to provide
opportunities for an advanced learning experience in mathematics via planned lectures,
contributed talks, and hands-on workshop. This book will appeal to those postgraduates,
lecturers and researchers working in the field of dynamical systems and their applications.
Senior undergraduates in Mathematics will also find it useful.