Due 2020-03-25
1st ed. 2020, VIII, 170 p. 51 illus., 44 illus. in color.
Hardcover
ISBN 978-3-030-35201-1
Series : Applied and Numerical Harmonic Analysis
Contains chapters based on talks given at the inaugural Technology,
Engineering and Mathematics Conference (TEM18), held from March 26-27,
2018 in Kenitra, Morocco
Includes papers written by experts in mathematical modeling and smart
technologies, making it ideal for a broad audience of pure mathematicians
and engineers
Emphasizes applications to cutting-edge technologies like augmented, mixed,
and virtual realities
The chapters in this volume are based on talks given at the inaugural Technology, Engineering
and Mathematics Conference (TEM18), held from March 26 to 27, 2018 in Kenitra, Morocco.
Advances in mathematical modeling, optimization, numerical analysis, signal processing, and
computer science are presented by leading experts in these fields. There is a particular
emphasis on stochastic analysis, machine learning algorithms, and deep learning models,
which are highly relevant to the state-of-the-art in augmented, virtual, and mixed realities.
Topics include: Harmonic analysis Big data analytics and applications Biomathematics
Computer engineering and applications Economics and financial engineering Medical imaging
and non-destructive testing This volume is ideal for engineers and researchers working in
technological fields that need to be modeled and simulated using the tools of modern
mathematics.
Due 2020-03-17 1st ed. 2020, XVIII, 446 p.
Hardcover
ISBN 978-1-0716-0349-9
Series :Springer Monographs in Mathematics
Introduces readers to the amenability of Banach algebras with a
comprehensive overview of the state-of-the-art of the area
Modernizes the authorfs popular volume Lectures on Amenability by detailing
numerous developments in the area of amenable Banach algebras
Includes dozens of exercises tailored toward developing specific concepts
within amenable Banach algebras, dual Banach algebras, operator algebras
on Hilbert spaces, and more
This volume provides readers with a detailed introduction to the amenability of Banach
algebras and locally compact groups. By encompassing important foundational material,
contemporary research, and recent advancements, this monograph offers a state-of-the-art
reference. It will appeal to anyone interested in questions of amenability, including those
familiar with the authorfs previous volume Lectures on Amenability. Cornerstone topics are
covered first: namely, the theory of amenability, its historical context, and key properties of
amenable groups. This introduction leads to the amenability of Banach algebras, which is the
main focus of the book. Dual Banach algebras are given an in-depth exploration, as are Banach
spaces, Banach homological algebra, and more. By covering amenabilityfs many applications,
the author offers a simultaneously expansive and detailed treatment. Additionally, there are
numerous exercises and notes at the end of every chapter that further elaborate on the
chapterfs contents. Because it covers both the basics and cutting edge research, Amenable
Banach Algebras will be indispensable to both graduate students and researchers working in
functional analysis, harmonic analysis, topological groups, and Banach algebras. Instructors
seeking to design an advanced course around this subject will appreciate the student-friendly
elements; a prerequisite of functional analysis, abstract harmonic analysis, and Banach algebra
theory is assumed.
Due 2020-03-24
1st ed. 2020, X, 140 p. 42 illus., 40 illus. in color.
Softcover
ISBN 978-3-030-36398-7
Series : Frontiers in Applied Dynamical Systems:
First of its kind to discuss geometric singular perturbation theory in a
coordinate-independent setting
Serves as an accessible entry point into the study of multiple time-scale
dynamical systems
Covers motivating examples from biochemistry, electronic circuits and
mechanic oscillators and advection-reaction-diffusion problems
This volume providesa comprehensive review of multiple-scale dynamical systems.Mathematical
models of such multiple-scale systems are considered singular perturbation problems, andthis
volumefocuseson the geometric approach known as Geometric Singular Perturbation Theory
(GSPT). It is the first of its kindthat introduces the GSPT in a coordinate-independent manner.
This is motivated by specific examples ofbiochemical reaction networks, electronic circuit and
mechanic oscillator models and advection-reaction-diffusion models, all withan inherent nonuniform
scale splitting, which identifies these examples as singular perturbation problems beyond the standard form.
The contents cover a general framework for thisGSPT beyond the standard form including canard theory,
concrete applications, and instructive qualitative models.
It contains many illustrations andkey pointers to the existing literature. The target audience are
senior undergraduates, graduate students and researchers interested in using the GSPT
toolbox in nonlinear science, either from a theoretical or an application point of view. Martin
Wechselberger is Professor at the School of Mathematics & Statistics, University of Sydney,
Australia. He received the J.D. Crawford Prize in 2017 by the Society for Industrial and Applied
Mathematics (SIAM) for achievements in the field of dynamical systems with multiple timescales.
Due 2020-04-16
1st ed. 2020, X, 190 p. 11illus.
Hardcover
ISBN 978-3-030-37113-5
Series: Springer INdAM Series
Includes high-quality contributions from leading experts
Provides a wide variety of examples and up-to-date surveys
Offers new connections between birational geometry and moduli spaces
This volume collects contributions from speakers at the INdAM Workshop gBirational Geometry
and Moduli Spacesh, which was held in Rome on 11?15 June 2018. The workshop was
devoted to the interplay between birational geometry and moduli spaces and the contributions
of the volume reflect the same idea, focusing on both these areas and their interaction. In
particular, the book includes both surveys and original papers on irreducible holomorphic
symplectic manifolds, Severi varieties, degenerations of Calabi-Yau varieties, uniruled threefolds,
toric Fano threefolds, mirror symmetry, canonical bundle formula, the Lefschetz principle,
birational transformations, and deformations of diagrams of algebras. The intention is to
disseminate the knowledge of advanced results and key techniques used to solve open
problems. The book is intended for all advanced graduate students and researchers interested
in the new research frontiers of birational geometry and moduli spaces.
Due 2020-03-16
1st ed. 2020, XI, 295 p. 25 illus., 17 illus. in color.
Hardcover
ISBN 978-981-15-1591-0
Series: Springer Proceedings in Mathematics & Statistics
Contains contributions by world-leading researchers in their fields
Presents diverse achievements including theories and numerics for inverse problems
Includes descriptions of updated results for inverse problems
This volume contains 13 chapters, which are extended versions of presentations at the
International Conference on Inverse Problems at Fudan University, Shanghai, China, October 12-
14, 2018, in honor of Masahiro Yamamoto on the occasion of his 60th birthday. The chapters
are authored by world-renowned researchers and rising young talents, and are updated
accounts of various aspects of the research on inverse problems. The volume covers theories
of inverse problems for partial differential equations, regularization methods, and related topics
from control theory. This book addresses a wide audience of researchers and young post-docs
and graduate students who are interested in mathematical sciences as well as mathematics.
Due 2020-03-22
1st ed. 2020, VIII, 603 p. 41 illus., 12 illus. in color.
Hardcover
ISBN 978-3-030-37030-5
Series : Springer Proceedings in Mathematics & Statistics
Contains articles from distinguished experts in both Theoretical Physics and
Pure Mathematics
Offers a unique perspective on ideas and modern developments at the
interface between quantum field theory, high-energy physics, number theory
and algebraic geometry
Combines surveys and research articles on recent topics in these fields
This book is the outcome of research initiatives formed during the special ``Research
Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory'' at the
ICMAT (Instituto de Ciencias Matematicas, Madrid) in 2014. The activity was aimed at
understanding and deepening recent developments where Feynman and string amplitudes on
the one hand, and periods and multiple zeta values on the other, have been at the heart of
lively and fruitful interactions between theoretical physics and number theory over the past few
decades. In this book, the reader will find research papers as well as survey articles, including
open problems, on the interface between number theory, quantum field theory and string
theory, written by leading experts in the respective fields. Topics include, among others, elliptic
periods viewed from both a mathematical and a physical standpoint; further relations between
periods and high energy physics, including cluster algebras and renormalisation theory;
multiple Eisenstein series and q-analogues of multiple zeta values (also in connection with
renormalisation); double shuffle and duality relations; alternative presentations of multiple zeta
values using Ecalle's theory of moulds and arborification; a distribution formula for generalised
complex and l-adic polylogarithms; Galois action on knots. Given its scope, the book offers a
valuable resource for researchers and graduate students interested in topics related to both
quantum field theory, in particular, scattering amplitudes, and number theory.