Hardback
April 15, 2019 Forthcoming
Reference - 282 Pages - 44 B/W Illustrations
ISBN 9780367223755 - CAT# K421543
Series: Discrete Mathematics and Its Applications
Volume of geometric objects has been studied by the ancient Greek mathematicians. Even today volume continues to play an important role in applied as well as pure mathematics. In discrete geometry, which is a relatively new branch of geometry, volume plays a significant role in generating new topics for research. The author’s goal is to demonstrate the recent aspects of volume in particular, volumetric method within discrete geometry. Part I consists of survey chapters of selected topics on volume and Part II consisting of chapters of selected proofs of theorems stated in Part I.
Preface xiii
List of Figures xvii
Authors xix
Symbols xxi
I Selected Topics
1 Volumetric Properties of (m; d)-scribed Polytopes
2 Volume of the Convex Hull of a Pair of Convex Bodies
3 The Kneser-Poulsen conjecture revisited
4 Volumetric Bounds for Contact Numbers
5 More on Volumetric Properties of Separable Packings
II Selected Proofs
6 Proofs on Volume Inequalities for Convex Polytopes
7 Proofs on the Volume of the Convex Hull of a Pair of Convex
Bodies
8 Proofs on the Kneser{Poulsen conjecture
9 Proofs on Volumetric Bounds for Contact Numbers
10 More Proofs on Volumetric Properties of Separable Packings
11 Open Problems: An Overview
Bibliography
Index
Hardback
July 18, 2019 Forthcoming
Reference - 336 Pages
ISBN 9780367235482 - CAT# K422558
Series: Chapman & Hall/CRC Monographs and Research Notes in Mathematics
Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a comprehensive exposition of the mathematical analysis of coagulation-fragmentation models. Initially, an in-depth survey of coagulation-fragmentation processes is presented, together with an account of relevant early results obtained on the associated model equations. These provide motivation for the subsequent detailed treatment of more up-to-date investigations which have led to significant theoretical developments on topics such as solvability and the long-term behaviour of solutions. To make the account as self-contained as possible, the mathematical tools that feature prominently in these modern treatments are introduced at appropriate places. The main theme of Volume I is the analysis of linear fragmentation models, with Volume II devoted to processes that involve the nonlinear contribution of coagulation.
Features of Volume II:
A primer on weak compactness in L 1 and dynamical systems
A comprehensive theory of solvability of the coagulation-fragmentation equation by both the semigroup and weak compactness methods, including a thorough analysis of the gelation and shattering phenomena
A detailed analysis of the long-term dynamics of the coagulation-fragmentation equations with a state-of-the-art discussion on self-similar solutions
6 Introduction to Volume II
7 Mathematical Toolbox II
8 Solvability of Coagulation-Fragmentation Equations
9 Gelation and Shattering
10 Long-Term Behaviour
11 Miscellanea
This revised and extended edition of a well-established monograph in function
theory contains a study on various function classes on the disc, a number of new
results and new or easy proofs of old but interesting theorems (for example, the
Fefferman?Stein theorem on subharmonic behavior or the theorem on conjugate
functions in Bergman spaces), a full discussion on g-functions, and a treatment
of lacunary series with values in quasi-Banach spaces.
* Second revised and extended edition of a standard book in function theory
* Presents new, shorter proofs of classical results along with new developments
* Of interest to graduate students and reseachers working in complex analysis
Approx. xii, 530 pages
Hardcover:
ISBN 978-3-11-062844-9
Date of Publication: October 2019
Language of Publication: English
Subjects: Analysis
Of interest to: Graduate students and researchers in mathematic
Banach algebras is a multilayered area in mathematics with many ramifications.
With a diverse coverage of different schools working on the subject, this
proceedings volume reflects recent achievements in areas such as Banach
algebras over groups, abstract harmonic analysis, group actions, amenability,
topological homology, Arens irregularity, C*-algebras and dynamical systems,
operator theory, operator spaces, and locally compact quantum groups.
* A collection of up-to-date research contributions in Banach algebras
* Documents the presentations in the main international conference in the area
* Covers topics such as operator algebras, group actions, abstract harmonic analysis, etc.
Mahmoud Filali, University of Oulu, Finland.
De Gruyter Proceedings in Mathematics
Approx. xii, 250 pages
Hardcover:
ISBN 978-3-11-060132-9
Date of Publication: May 2019
Language of Publication: English
Subjects: Analysis
Of interest to: Researchers and graduate students in mathematics.
This monograph presents in a unified manner the use of the Morse index, and
especially its connections to the maximum principle, in the study of nonlinear
elliptic equations. The knowledge or a bound on the Morse index of a solution is
a very important qualitative information which can be used in several ways for
different problems, in order to derive uniqueness, existence or nonexistence,
symmetry, and other properties of solutions.
* An in-depth monograph on Morse index techniques for nonlinear elliptic
equations
* Discusses the connections of the Morse index with the maximum principle
* Studies several qualitative properties of solutions like well-posedness, symmetry, etc.
Lucio Damascelli, University of Rome “Tor Vergata”, Italy;Filomena Pacella,
University of Rome “La Sapienza”, Italy
De Gruyter Series in Nonlinear Analysis and Applications
30 Approx. xii, 280 pages, 8 Figures (bw)
Hardcover:
ISBN 978-3-11-053732-1
Date of Publication: August 2019
Language of Publication: English
Subjects: Analysis
Differential Equations and Dynamical Systems
Geometry and Topology
Of interest to: Reseachers and graduate students in nonlinear analysis and physics