Due 2020-02-23
1st ed. 2020, XVII, 334 p.
39 illus., 6 illus. in color.
Hardcover
ISBN 978-3-030-35255-4
Series : Springer Proceedings in Mathematics & Statistics
Covers myriad topics in algebraic, analytic, homological and categorical
methods, and history of mathematics
Showcases the fruitful mathematical collaboration between south European
and north African countries
Offers extensive material for young researchers searching for new areas of
study and cooperation in algebra and mathematical analysis
This book gathers together selected contributions presented at the 3rd Moroccan Andalusian
Meeting on Algebras and their Applications, held in Chefchaouen, Morocco, April 12-14, 2018,
and which reflects the mathematical collaboration between south European and north African
countries, mainly France, Spain, Morocco, Tunisia and Senegal. The book is divided in three
parts and features contributions from the following fields: algebraic and analytic methods in
associative and non-associative structures; homological and categorical methods in algebra;
and history of mathematics. Covering topics such as rings and algebras, representation theory,
number theory, operator algebras, category theory, group theory and information theory, it
opens up new avenues of study for graduate students and young researchers. The findings
presentedalso appeal to anyone interested in the fields of algebra and mathematical analysis.
Due 2020-02-21
1st ed. 2020, VIII, 33 p. 42
illus., 38 illus. in color.
Hardcover
ISBN 978-3-030-35501-2
Series : Springer Proceedings in Mathematics & Statistics
Presents the proceedings of the 24th International Conference on Difference
Equations and Applications (ICDEA), held in Dresden, Germany, May 2018,
under the auspices of the International Society of Difference Equations (ISDE)
Covers difference equations and discrete dynamical systems and their
applications
Appeals to researchers and scientists working in theory and applications of
difference equations and discrete dynamical systems
This book presents the proceedings of the 24th International Conference on Difference
Equations and Applications, which was held at the Technical University in Dresden, Germany, in
May 2018, under the auspices of the International Society of Difference Equations (ISDE). The
conference brought together leading researchers working in the respective fields to discuss the
latest developments, and to promote international cooperation on the theory and applications
of difference equations. This book appeals to researchers and scientists working in the fields of
difference equations and discrete dynamical systems and their applications.
Due 2020-03-03
1st ed. 2020, XXI, 322 p. 1illus. in color.
Hardcover
ISBN 978-981-15-1610-8
Series : Indian Statistical Institute Series
Offers a comprehensive introduction to Leavitt path algebras and graph C*-
algebras and their connection with classical K-theory
Gathers survey articles on Leavitt path algebras to provide an introduction to the subject
Presents new results and expository articles on K-theory
The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-
algebras. Highlighting their significant connection with classical K-theory?which plays an
important role in mathematics and its related emerging fields?this book allows readers from
diverse mathematical backgrounds to understand and appreciate these structures. The articles
on LPAs are mostly of an expository nature and the ones dealing with K-theory provide new
proofs and are accessible to interested students and beginners of the field. It is a useful
resource for graduate students and researchers working in this field and related areas, such as
C*-algebras and symbolic dynamics.
Due 2020-03-11
1st ed. 2020, VIII, 177 p.
Hardcover
ISBN 978-981-15-1513-2
Presents geometrical and classical techniques to study the class groups of number fields
Features a chapter on Kummer?Vandiver conjecture
Explores various techniques to work toward Gauss class number one problem
Includes a survey on Lebesgue-Ramanujan-Nagell type equations
Provides a rich history of cyclotomic numbers and Jacobi sums
This book gathers original research papers and survey articles presented at the gInternational
Conference on Class Groups of Number Fields and Related Topics,h held at Harish-Chandra
Research Institute, Allahabad, India, on September 4?7, 2017. It discusses the fundamental
research problems that arise in the study of class groups of number fields and introduces new
techniques and tools to study these problems. Topics in this book include class groups and
class numbers of number fields, units, the Kummer-Vandiver conjecture,
class number one
problem, Diophantine equations, Thue equations, continued fractions, Euclidean number fields,
heights, rational torsion points on elliptic curves, cyclotomic numbers, Jacobi sums, and
Dedekind zeta values. This book is a valuable resource for undergraduate and graduate
students of mathematics as well as researchers interested in class groups of number fields
and their connections to other branches of mathematics. New researchers to the field will also
benefit immensely from the diverse problems discussed. All the contributing authors are
leading academicians, scientists, researchers, and scholars
Due 2020-03-12
1st ed. 2020, XX, 430 p.
Softcover
ISBN 978-3-030-36225-6
Series : C.I.M.E. Foundation Subseries
Provides an accessible introduction to the basic results and major open
questions related to the Navier?Stokes initial-value problem
Gives applications to difficult and still unresolved questions, like free boundary problems
Describes the general theory of R-boundedness and maximal regularity for
quasilinear evolution equations in Banach spaces
This book collects together a unique set of articles dedicated to several fundamental aspects
of the Navier?Stokes equations. As is well known, understanding the mathematical properties
of these equations, along with their physical interpretation, constitutes one of the most
challenging questions of applied mathematics. Indeed, the Navier-Stokes equations feature
among the Clay Mathematics Institute's seven Millennium Prize Problems (existence of global
in time, regular solutions corresponding to initial data of unrestricted magnitude). The text
comprises three extensive contributions covering the following topics: (1) Operator-Valued Hcalculus,
R-boundedness, Fourier multipliers and maximal Lp-regularity theory for a large,
abstract class of quasi-linear evolution problems with applications to Navier?Stokes equations
and other fluid model equations; (2) Classical existence, uniqueness and regularity theorems of
solutions to the Navier?Stokes initial-value problem, along with space-time partial regularity
and investigation of the smoothness of the Lagrangean flow map; and (3) A complete
mathematical theory of R-boundedness and maximal regularity with applications to free
boundary problems for the Navier?Stokes equations with and without surface tension
Due 2020-04-01
1st ed. 2020, XX, 480 p. 6
illus., 1 illus. in color.
Softcover
ISBN 978-3-030-36019-1
Series : Lecture Notes in Mathematics
Features a unique mixture of papers on convex geometry and highdimensional analysis
Describes state-of-the-art progress in asymptotic geometric analysis
Written from an interdisciplinary perspective, relations to differential
geometry, information theory and computer science are included
Continuing the theme of the previous volume, these seminar notes reflect general trends in the
study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical
topics represented are the Concentration of Measure Phenomenon in the Local Theory of
Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central
Limit Theorem, one of the earliest examples of regularity and order in high dimensions. Central
to the text is the study of the Poincare and log-Sobolev functional inequalities, their reverses,
and other inequalities, in which a crucial role is often played by convexity assumptions such as
Log-Concavity. The concept and properties of Entropy form an important subject, with
Bourgain's slicing problem and its variants drawing much attention. Constructions related to
Convexity Theory are proposed and revisited, as well as inequalities that go beyond the Brunn?
Minkowski theory. One of the major current research directions addressed is the identification
of lower-dimensional structures with remarkable properties in rather arbitrary high-dimensional
objects. In addition to functional analytic results, connections to Computer Science and to
Differential Geometry are also discussed..