Hardcover
ISBN 978-3-030-01457-5
The book sets out pragmatically and sensibly to introduce to the fast field of
mathematical techniques in solving many specific problems in image processing
Covers also more recent methods based on PDE and variational methods
Has the virtues of a good an handy reference manual
This book addresses the mathematical aspects of modern image processing methods, with a
special emphasis on the underlying ideas and concepts. It discusses a range of modern
mathematical methods used to accomplish basic imaging tasks such as denoising, deblurring,
enhancing, edge detection and inpainting. In addition to elementary methods like point
operations, linear and morphological methods, and methods based on multiscale
representations, the book also covers more recent methods based on partial differential
equations and variational methods. Review of the German Edition:The overwhelming impression
of the book is that of a very professional presentation of an appropriately developed and
motivated textbook for a course like an introduction to fundamentals and modern theory of
mathematical image processing. Additionally, it belongs to the bookcase of any office where
someone is doing research/application in image processing. It has the virtues of a good and
handy reference manual. (zbMATH, reviewer: Carl H. Rohwer, Stellenbosch)
Hardcover
ISBN 978-3-030-01125-3
Provides and excellent introduction to important themes of current research
in differential geometry and theoretical physics
Basis of all contributions are lectures given at a Summer School in Hambrug,2016
Authors are worldwide renowned researchers in their area
This book consists of two lecture notes on geometric flow equations (O. Schnurer) and
Lorentzian geometry - holonomy, spinors and Cauchy Problems (H. Baum and T. Leistner)
written by leading experts in these fields. It grew out of the summer school “Geometric flows
and the geometry of space-time” held in Hamburg (2016) and provides an excellent
introduction for students of mathematics and theoretical physics to important themes of
current research in global analysis, differential geometry and mathematical physics
Softcover
ISBN 978-3-030-01776-7
Development of an intuitive understanding that complements rigorous mathematics
Makes advanced mathematical tools and concepts accessible to non-experts
Presentations in all Chapters is supplied with exercises
The objective of this book is to navigate beginning graduate students in mathematics and
engineeringthrough amature field of multiscale problems in homogenization theory and to
provide an idea of its broad scope.An overview of a wide spectrum of homogenization
techniques ranging from classical two-scale asymptotic expansions toGamma convergence and
the rapidly developing field of stochastic homogenization is presented. The mathematical
proofs and definitions are supplemented with intuitive explanations and figures to make them
easier to follow.A blend of mathematics and examples from materialsscience and engineeringis
designedto teach a mixed audience of mathematicaland non-mathematical students.
Softcover
ISBN 978-3-030-01976-1
Thompson's, Self-similar, Lamplighter, and Baumslag-Solitar
Explores an interesting sampling of groups typically not encountered until
later in a student’s career
Provides a concise and accessible introduction to more advanced topics in
group theory
Contains numerous exercises of varying difficulty to reinforce the material
This textbook offers students with a basic understanding of group theory a preview of several
interesting groups they would not typically encounter until later in their academic careers. By
presenting these advanced concepts at this stage, they will gain a deeper understanding of the
subject and be motivated to explore more of it. Groups covered include Thompson’s groups,
self-similar groups, Lamplighter groups, and Baumslag-Solitar groups. Each chapter focuses on
one of these groups, and begins by discussing why they are interesting, how they originated,
and why they are important mathematically. A collection of specific references for additional
reading, topics for further research, and exercises are included at the end of every chapter to
encourage students’ continued education. With its accessible presentation and engaging style, A
Sampling of Remarkable Groups is suitable for students in upper-level undergraduate or
beginning graduate abstract algebra courses. It will also be of interest to researchers in
mathematics, computer science, and related fields.
Softcover
ISBN 978-3-030-01430-8
Reviews classical results on the solution of saddle problems that appeared in
books, articles and proceedings papers
Covers recent results on this subject achieved by the author and his
colleagues
Presents a case study of the application of theoretical results in underground
water flow modeling
This book provides essential lecture notes on solving large linear saddle-point systems, which
arise in a wide range of applications and often pose computational challenges in science and
engineering. The focus is on discussing the particular properties of such linear systems, and a
large selection of algebraic methods for solving them, with an emphasis on iterative methods
and preconditioning. The theoretical results presented here are complemented by a case study
on potential fluid flow problem in a real world-application. This book is mainly intended for
students of applied mathematics and scientific computing, but also of interest for researchers
and engineers working on various applications. It is assumed that the reader has completed a
basic course on linear algebra and numerical mathematics.
Hardcover
ISBN 978-981-13-3012-4
Presents a collection of original research and survey articles on mathematical
inequalities and their applications
Bridges the gap between the existing literature on inequalities and
applications
Introduces the topic in a concrete way, discussing all the basic definitions and
notations
Is useful to researchers and professionals in mathematics and engineering
This book is a collection of original research and survey articles on mathematical inequalities
and their numerous applications in diverse areas of mathematics and engineering. It includes
chapters on convexity and related concepts; inequalities for mean values, sums, functions,
operators, functionals, integrals and their applications in various branches of mathematics and
related sciences; fractional integral inequalities; and weighted type integral inequalities. It also
presents their wide applications in biomathematics, boundary value problems, mechanics,
queuing models, scattering, and geomechanics in a concise, but easily understandable way that
makes the further ramifications and future directions clear. The broad scope and high quality
of the contributions make this book highly attractive for graduates, postgraduates and
researchers. All the contributing authors are leading international academics, scientists,
researchers and scholars.
Hardcover
ISBN 978-3-030-02649-3
Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday
Tributes the excellent achievements of Heinrich Begehr
Contains several important research contributions from the different
branches of analysis
Provides stories about the scientific life of Heinrich Begehr
This is a book comprising selected papers of colleagues and friends of Heinrich Begehr on the
occasion of his 80th birthday. It aims at being a tribute to the excellent achievements of
Heinrich Begehr in complex analysis and complex differential equations, and especially to his
prominent role as one of the creators and long-time leader of the International Society for
Analysis, its Applications and Computation (ISAAC).
Softcover
ISBN 978-3-030-02903-6
Thorough guide to the coupling of Stokes and Darcy equations
Includes numerical analysis and scientific computing
Almost all intermediate results are given with a rigorous proof
Special care is taken to analyze the difficult cases of non-smooth interfaces
which are not completely enclosed in one subdomain
This book offers a thorough guide starting from fundamental functional analysis leading to the
coupling of Stokes and Darcy equations, including numerical analysis and scientific computing.
Almost all intermediate results are given with complete, rigorous proofs,including theorems
which can be rarely found in the literaturesuch that this book serves well as a reference on
the topic. Special care is taken to analyze the difficult cases of non-smooth interfaces which
are not completely enclosed in one subdomain, i.e, intersect with the outer boundary. This can
hardly be found in the literature. Additionally, known and new subdomain iterative methods are
introduced, analyzed and applied to standard examples as well as one example motivated by a
geoscientific setting