Due 2019-07-25
1st ed. 2019, VIII, 270 p.
45 illus., 28 illus. in color.
Hardcover
ISBN 978-3-030-16832-2
This volume presents the proceedings of the meeting New Trends in One-Dimensional
Dynamics, celebrating the 70th anniversary of Welington de Melo, which was held at IMPA, Rio
de Janeiro, in November 2016, and highlights the most recent results in one-dimensional
dynamics and its applications. The volume was intended to be a collection of contributions
celebrating the highly successful meeting, which brought together experts in this field, many of
Welington de Melofs co-authors and all his former doctoral students. Unfortunately Welington
de Melo passed away shortly after the conference, so that the present volume became more a
tribute to him. His role in the development of mathematics was undoubtedly important,
especially in the area of low-level dynamics, and his legacy includes, in addition to many
articles with fundamental contributions, books that are mandatory references for beginners in
this area.
Due 2019-07-15
1st ed. 2019, XIII, 282 p.
13 illus., 5 illus. in color.
Hardcover
ISBN 978-3-030-17375-3
Covers more than 20 active research areas related to descriptive topology
and functional analysis
Presents the current research in various topics
Dedicated to Professor Manuel Lopez-Pellicer's mathematical research
This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to
Professor Manuel Lopez-Pellicer's mathematical research. Covering topics in descriptive
topology and functional analysis, including topological groups and Banach space theory, fuzzy
topology, differentiability and renorming, tensor products of Banach spaces and aspects ofCptheory,
this volume is particularly useful to young researchers wanting to learn about the latest
developements in these areas.
Due 2019-07-01
1ere ed. 2019, X, 157 p.
Avec With a comprehensive
introduction in English.
Softcover
ISBN 978-3-030-17271-8
Semisimple algebraic groups in cohomological dimension 2
Le point de vue des groupes algebriques permet une presentation moins
technique
Propose une synthese de la IIe Conjecture de Serre, traitant le cas des
groupes classiques (Bayer-Fluckiger et Parimala) et les cas connus de
groupes exceptionnels
Presente des applications a la classification des k-groupes semi-simples
Fournit un complement a lfouvrage de Knus, Merkurjev, Tignol, et Rost,
reliant la theorie des groupes algebriques avec les structure algebriques par
la voie de la cohomologiee galoisienne.
La theorie des groupes algebriques sur un corps arbitraire est lfune des branches les plus
merveilleuses des mathematiques modernes. Cette monographie porte sur les groupes
algebriques semi-simples definis sur un corps k de dimension cohomologique separable 2 et
la cohomologie galoisienne dficeux. La question ouverte la plus importante est la conjecture II
de Serre (1962) qui predit lfannulation de la cohomologie galoisienne dfun groupe semi-simple
simplement connexe. Utilisant principalement des techniques de groupes algebriques, on
couvre tous les cas connus de la conjecture: les cas classiques (dus a Bayer-Fluckiger and
Parimala) ainsi que les avancees sur les cas exceptionnels restants (par exemple de type E8).
Ceci sfapplique a la classification des groupes semi-simples. The theory of algebraic groups
over arbitrary fields is one of the most beautiful branches of modern mathematics. This
monograph deals with semisimple algebraic groups over a general field k of separable
cohomological dimension ^ to Bayer-Fluckiger and Parimala), and some perspectives are given
on the remaining exceptional cases (e.g., G of type E8). Applications to the classification of
semisimple k-groups are presented
Due 2019-07-11
1st ed. 2019, X, 134 p.
Softcover
ISBN 978-3-030-17955-7
Presents the first introduction to nonstandard methods geared towards
combinatorics
Includes new nonstandard proofs of classical results in Ramsey theory
Provides a self-contained introduction to the literature of nonstandard
methods in combinatorics
Numerous exercises help readers to familiarize themselves with the material
The goal of this monograph is to give an accessible introduction to nonstandard methods and
their applications, with an emphasis on combinatorics and Ramsey theory. It includes both new
nonstandard proofs of classical results and recent developments initially obtained in the
nonstandard setting. This makes it the first combinatorics-focused account of nonstandard
methods to be aimed at a general (graduate-level) mathematical audience. This book will
provide a natural starting point for researchers interested in approaching the rapidly growing
literature on combinatorial results obtained via nonstandard methods. The primary audience
consists of graduate students and specialists in logic and combinatorics who wish to pursue
research at the interface between these areas.
Due 2019-07-13
XXVI, 401 p. 89 illus.
Hardcover
ISBN 978-3-030-17855-0
Offers readers a deeper, more intuitive understanding of applied mathematics
by introducing linear algebra and group theory together
Adopts an interdisciplinary approach, making it flexible enough to appeal to
engineers, physicists, chemists, computer scientists, and more
Provides an array of examples throughout, perfect for practicing what is taught
This textbook demonstrates the strong interconnections between linear algebra and group
theory by presenting them simultaneously, a pedagogical strategy ideal for an interdisciplinary
audience. Being approached together at the same time, these two topics complete one another,
allowing students to attain a deeper understanding of both subjects. The opening chapters
introduce linear algebra with applications to mechanics and statistics, followed by group theory
with applications to projective geometry. Then, high-order finite elements are presented to
design a regular mesh and assemble the stiffness and mass matrices in advanced applications
in quantum chemistry and general relativity. This text is ideal for undergraduates majoring in
engineering, physics, chemistry, computer science, or applied mathematics. It is mostly selfcontained?readers
should only be familiar with elementary calculus. There are numerous
exercises, with hints or full solutions provided. A series of roadmaps are also provided to help
instructors choose the optimal teaching approach for their discipline
XX, 260 p. 4 illus.
Printed book
Softcover
9783030186371
Series: Lecture Notes of the Unione Matematica Italiana
Describes the most intriguing Hodge-theoretic aspects of cubic fourfolds
Presents well-written surveys by leading experts on recent developments on
rationality questions for hypersurfaces
Provides a comprehensive and state-of-the-art introduction to the new and
exciting subject of non-commutative K3 surfaces
Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on
the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces
inprojective spaces, and provides a large number of open questions, techniques and
spectacular results. The aim of the school was to shed light on this vast area of research by
concentrating on two main aspects: (1) Approaches focusing on (stable) rationality using
deformation theory and Chow-theoretic tools like decomposition of the diagonal; (2) The
connection between K3 surfaces, hyperkahler geometry and cubic fourfolds, which has both a
Hodge-theoretic and a homological side. Featuring the beautiful lectures given at the school by
Jean-Louis Colliot-Thelene, Daniel Huybrechts, Emanuele Macri, and Claire Voisin, the volume
also includes additional notes by Janos Kollar and an appendix by Andreas Hochenegger.
Series: Springer Undergraduate Mathematics Series
1st ed. 2019, Approx. 555 p. 10 illus.
Printed book
Softcover
9783030187460
Supplements the abstract theory with a great amount of motivation,
explanations and concrete examples
Includes background on metric spaces and mathematical analysis
Over 300 exercises with hints
This textbook provides a thorough introduction tomeasure and integration theory, fundamental
topics of advanced mathematical analysis. Proceeding at a leisurely, student-friendly pace, the
authors begin by recalling elementary notions of real analysis before proceeding to measure
theory and Lebesgue integration. Further chapters cover Fourier series, differentiation, modes of
convergence, and product measures. Noteworthy topics discussed in the text includeLp spaces,
the Radon?Nikodym Theorem, signed measures, the Riesz Representation Theorem, and the
Tonelli and Fubini Theorems. This textbook, based on extensive teaching experience, is written
for senior undergraduate and beginning graduate students in mathematics. With each topic
carefully motivated and hints to more than 300 exercises, it is the ideal companion for selfstudy
or use alongside lecture courses.
Series: Operator Theory: Advances and Applications
1st ed. 2019, Approx. 330 p.
Printed book
Hardcover
9783030164089
Contains a new theory for evolution operators
Allows defining new classes of fractional diffusion and evolution problems
Inspires to explore new research directions
This book presents a new theory for evolution operators and a new method for defining
fractional powers of vector operators.This new approach allows to define new classes of
fractional diffusion and evolution problems. These innovative methods and techniques, based
on the concept of S-spectrum,can inspire researchers from various areas of operator theory
and PDEsto explore new research directions in their fields. This monograph is the natural
continuation of the book: Spectral Theory on the S-Spectrum for Quaternionic Operators by
Fabrizio Colombo, Jonathan Gantner, and David P. Kimsey (Operator Theory: Advances and
Applications, Vol. 270).