Due 2020-01-14
1st ed. 2019, VIII, 214 p. 1illus.
Hardcover
ISBN 978-3-030-32905-1
Stimulating research papers in a very active research area
Coverage of recent developments in state of the art topics
Postgrad course notes on relationships between vertex algebra theory and
the theory of integrable Hamiltonian equation
This book focuses on recent developments in thetheory of vertex algebras, with particular
emphasis on affine vertex algebras, affine W-algebras, and W-algebras appearing inphysical
theories such as logarithmic conformal field theory. It is widelyaccepted in the mathematical
community that the best way to study the representation theory of affine Kac?Moody algebras
is by investigating the representation theory ofthe associated affine vertex and W-algebras. In
this volume, this general idea can be seen at work from several points of view. Most relevant
state of the art topics are covered, including fusion,relationships with finite dimensional Lie
theory, permutation orbifolds, higher Zhu algebras, connections with combinatorics, and
mathematical physics. The volume is based on the INdAM Workshop Affine, Vertex and Walgebras,
held in Rome from 11 to 15 December 2017. It will be of interest to all researchers
in the field.
Due 2020-01-16
1st ed. 2019, VIII, 460 p.
Hardcover
ISBN 978-1-0716-0262-1
Develops a unified theory of Steinberg groups, independent of matrix
representations, based on the theory of Jordan pairs and the theory of 3-
graded locally finite root systems
Simplifies the case-by-case arguments and explicit matrix calculations made
in much of the existing literature
Offers new approaches and original concepts to add clarity to the study of
Steinberg groups
The present monograph develops a unified theory of Steinberg groups, independent of matrix
representations, based on the theory of Jordan pairs and the theory of 3-graded locally finite
root systems. The development of this approach occurs over six chapters, progressing from
groups with commutator relations and their Steinberg groups, then on to Jordan pairs, 3-
graded locally finite root systems, and groups associated with Jordan pairs graded by root
systems, before exploring the volume's main focus: the definition of the Steinberg group of a
root graded Jordan pair by a small set of relations, and its central closedness. Several original
concepts, such as the notions of Jordan graphs and Weyl elements, provide readers with the
necessary tools from combinatorics and group theory. Steinberg Groups for Jordan Pairsis ideal
for PhD students and researchers in the fields of elementary groups, Steinberg groups, Jordan
algebras, and Jordan pairs. By adopting a unified approach, anybody interested in this area
who seeks an alternative to case-by-case arguments and explicit matrix calculations will find
this book essential.
Due 2020-02-14
1st ed. 2019, XIII, 241 p. 3 illus. in color.
Hardcover
ISBN 978-3-030-32352-3
Harmonic Analysis, Geometric Measure Theory, and Applications
Adapts talks given at the 2017 CIMPA school Harmonic Analysis, Geometric
Measure Theory and Applications
Highlights recent breakthroughs in both harmonic analysis and geometric
measure theory and how they affect various fields, particularly image and
signal processing
Features articles written by leading experts in their respective areas
This contributed volume collects papers based on courses and talks given at the 2017 CIMPA
school Harmonic Analysis, Geometric Measure Theory and Applications, which took place at the
University of Buenos Aires in August 2017. These articles highlight recent breakthroughs in
both harmonic analysis and geometric measure theory, particularly focusing on their impact on
image and signal processing. The wide range of expertise present in these articles will help
readers contextualize how these breakthroughs have been instrumental in resolving deep
theoretical problems. Some topics covered include: Gabor frames Falconer distance problem
Hausdorff dimension Sparse inequalities Fractional Brownian motion Fourier analysis in
geometric measure theory This volume is ideal for applied and pure mathematicians interested
in the areas of image and signal processing. Electrical engineers and statisticians studying
these fields will also find this to be a valuable resource.
Due 2020-02-26
1st ed. 2019, X, 580 p. 45 illus., 12 illus. in color.
Hardcover
ISBN 978-3-030-34439-9
Provides a self-contained introduction to the theory of singularities of
mappings and ends at the frontier of current research
Includes hundreds of exercises, with many designed to help master
techniques of calculation
A self-contained reference with 5 appendices on background material
The first monograph on singularities of mappings for many years, this book provides an
introduction to the subject and an account of recent developments concerning the local
structure of complex analytic mappings. Part I of the book develops the now classical real C
and complex analytic theories jointly. Standard topics such as stability, deformation theory and
finite determinacy, are covered in this part. In Part II of the book, the authors focus on the
complex case. The treatment is centred around the idea of the "nearby stable object"
associated to an unstable map-germ, which includes in particular the images and discriminants
of stable perturbations of unstable singularities. This part includes recent research results,
bringing the reader up to date on the topic. By focusing on singularities of mappings, rather
than spaces, this book provides a necessary addition to the literature. Many examples and
exercises, as well as appendices on background material, make it an invaluable guide for
graduate students and a key reference for researchers. A number of graduate level courses on
singularities of mappings could be based on the material it contains.
Due 2020-05-12
2nd ed. 2020, Approx. 515 p.
Hardcover
ISBN 978-3-662-59361-5
Time-dependent scheduling involves problems in which the processing times
of jobs depend on when those jobs are started
Author includes numerous examples, figures and tables, and different classes
of algorithms presented using pseudocode
Previous edition focused on computational complexity of time-dependent
scheduling problems, this edition concentrates on models of time-dependent
job processing times and algorithms for solving scheduling problems
This is a comprehensive study of complexity results and optimal and suboptimal algorithms
concerning time-dependent scheduling in single-, parallel- and dedicated-machine
environments. In addition to complexity issues and exact or heuristic algorithms which are
typically presented in scheduling books, the author also includes more advanced topics such as
matrix methods in time-dependent scheduling, and time-dependent scheduling with two
criteria. The reader should be familiar with basic notions of calculus, discrete mathematics and
combinatorial optimization theory, while the book offers introductory material on NP-complete
problems, and the basics of scheduling theory. The author includes numerous examples,
figures and tables, he presents different classes of algorithms using pseudocode, and he
completes the book with an extensive bibliography, and author, symbol and subject indexes.
The previous edition of the book focused on computational complexity of time-dependent
scheduling problems. In this edition, the author concentrates on models of time-dependent job
processingtimes and algorithms for solving scheduling problems. The book is suitable for
researchers working on scheduling, problem complexity, optimization, heuristics and local
search algorithms.
https://doi.org/10.1142/11553 |
December 2019
Pages: 684
This is a text that develops calculus "from scratch", with complete rigorous arguments. Its aim is to introduce the reader not only to the basic facts about calculus but, as importantly, to mathematical reasoning. It covers in great detail calculus of one variable and multivariable calculus. Additionally it offers a basic introduction to the topology of Euclidean space. It is intended to more advanced or highly motivated undergraduates.
The Basics of Mathematical Reasoning
The Real Number System
Special Classes of Real Numbers
Limits of Sequences
Limits of Functions
Continuity
Differential Calculus
Applications of Differential Calculus
Integral Calculus
Complex Numbers and Some of Their Applications
The Geometry and the Topology of Euclidean Spaces
Continuity
Multi-variable Differential Calculus
Applications of Multi-variable Differential Calculus
Multidimensional Riemann Integration
Integration over Submanifolds
More advanced undergraduate students and professionals who is interested in calculus and mathematical analysis.