The first book introducing topological methods of the theory of real algebraic
varieties to non-specialists
Presents a panorama of classical knowledge as well as major developments of
the last twenty years in terms of the topology and geometry of varieties of
dimension two and three, without forgetting the curves, the central subject of
Hilbert's famous sixteenth problem
Contains various level exercises and solutions to many of them are provided
at the end of each chapter
This book gives a systematic presentation of real algebraic varieties. Real algebraic varieties are
ubiquitous.They are the first objects encountered during the learning of coordinates then
equations,but the systematic study of these objects, however elementary they may be, is
formidable. The book is intended for two kinds of audiences; It accompanies the reader
familiar with algebra and geometry at the master level, in learning the basics of this rich
theory, as much as it brings to the most advanced readermany fundamental results often
missing from the available literature, the ≪folklore≫. In particular, the introduction oftopological
methods of the theory to non-specialists is one of the original features of the book. The first
three chapters introduce the basics and classical methods of real and complex algebraic
geometry. The last threechapters each focus on one more specific aspect of real algebraic
varieties. A panorama of classical knowledge is presented, as well as major developments of
the last twenty years in terms of topology and geometry of varieties of dimension twoand
three, without forgetting the curves, the central subject of Hilbert's famous sixteenth problem.
Exercises of various levels are given, and the solutions of many of them are provided at the
end of each chapter.
Due 2020-06-10
1st ed. 2020, XIX, 496 p. 50
illus., 28 illus. in color
Hardcover
ISBN 978-3-030-43103-7
Product category : Monograph
Series : Springer Monographs in Mathematics
This is a volume originating from the Conference on Partial Differential Equations and
Applications, which was heldin Moscow in November 2018 in memory of professor Boris
Sternin and attracted more than a hundred participants from eighteen countries. The
conference was mainly dedicated to partial differential equations on manifoldsand their
applications in mathematical physics, geometry, topology, and complex analysis. The volume
contains selected contributions by leading experts in these fields and presents the current
state of the art in several areas of PDE. It will be of interest to researchers and
graduatestudents specializing in partial differential equations, mathematical physics, topology,
geometry, and their applications. The readers will benefit from the interplay between these
various areasof mathematics.
Due 2020-06-23
1st ed. 2020, Approx. 400 p.
Hardcover
ISBN 978-3-030-37325-2
Product category : Proceedings
Series : Trends in Mathematics
Provides a comprehensive survey of significant aspects of linear timeinvariant systems theory
Presents new methods to obtain complete and exact proofs of results
Features results accompanied by constructive algorithms that are
demonstrated by nontrivial computer examples
This book comprehensively examines various significant aspects of linear time-invariant
systems theory, both for continuous-time and discrete-time. Using a number of new
mathematical methods it provides complete and exact proofs of all the systems theoretic and
electrical engineering results, as well as important results and algorithms demonstrated with
nontrivial computer examples. The book is intended for readers who have completed the first
two years of a university mathematics course. All further mathematical results required are
proven in the book.
Due 2020-06-27
1st ed. 2020, XII, 640 p. 15 illus.
Softcover
ISBN 978-3-030-43935-4
Product category : Monograph
Series : Differential-Algebraic Equations Forum
Focuses on a rapidly evolving field, emphasizing integrality questions
Contains articles that survey recent developments
Includes research articles, which advance the field
This proceedings volume contains articles related to the research presented at the 2017
Simons Symposium on p-adic Hodge theory. This symposium was focused on recent
developments in p-adic Hodge theory, especially those concerning integral questions and their
connections to notions in algebraic topology. This volume features original research articles as
well as articles that contain new research and survey some of these recent developments. It is
the first of three volumes dedicated to p-adic Hodge theory
Due 2020-06-16
1st ed. 2020, VIII, 296 p.
Hardcover
ISBN 978-3-030-43843-2
Product category : Proceedings
Series : Simons Symposia
Provides the state of the art on numerical semigroups and related subjects
Offers different perspectives on research in the field
Covers results and examples that are very difficult to find in a structured exposition
This book presents the state of the art on numerical semigroups and related subjects, offering
different perspectives on research in the field and including results and examples that are very
difficult to find in a structured exposition elsewhere. The contents comprise the proceedings of
the 2018 INdAM “International Meeting on Numerical Semigroups”, held in Cortona, Italy. Talks
at the meeting centered not only on traditional types of numerical semigroups, such as Arf or
symmetric, and their usual properties, but also on related types of semigroups, such as affine,
Puiseux, Weierstrass, and primary, and their applications in other branches of algebra, including
semigroup rings, coding theory, star operations, and Hilbert functions. The papers in the book
reflect the variety of the talks and derive from research areas including Semigroup Theory,
Factorization Theory, Algebraic Geometry, Combinatorics, Commutative Algebra, Coding Theory,
and Number Theory. The book is intended for researchers and students who want to learn
about recent developments in the theory of numerical semigroups and its connections with
other research fields
Due 2020-06-26
1st ed. 2020, X, 320 p. 24 illus., 15 illus. in color.
Hardcover
ISBN 978-3-030-40821-3
Product category : Contributed volume
Series : Springer INdAM Series
Addresses both theory and applications
Features mathematical methods and models applied to important problems
in science and engineering
Presents high-quality, peer-reviewed contributed chapters that share a wealth
of new methods and results, review cutting-edge research, and discuss open
problems and directions for future research
Offers a source of inspiration for a broad range of researchers and research
students whose work involves mathematics and its applications in other
subjects
This book explores the latest advances in algebraic structures and applications, and focuses on
mathematical concepts, methods, structures, problems, algorithms and computational methods
important in the natural sciences, engineering and modern technologies. In particular, it
features mathematical methods and models of non-commutative and non-associative algebras,
hom-algebra structures, generalizations of differential calculus, quantum deformations of
algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra,
matrix analysis and its interplay with topology, knot theory, dynamical systems, functional
analysis, stochastic processes, perturbation analysis of Markov chains, and applications in
network analysis, financial mathematics and engineering mathematics. The book addresses
both theory and applications, which are illustrated with a wealth of ideas, proofs and examples
to help readers understand the material and develop new mathematical methods and concepts
of their own. The high-quality chapters share a wealth of new methods and results, review
cutting-edge research and discuss open problems and directions for future research. Taken
together, they offer a source of inspiration for a broad range of researchers and research
students whose work involves algebraic structures and their applications, probability theory and
mathematical statistics, applied mathematics, engineering mathematics and related areas.
Due 2020-06-02
1st ed. 2020, XXVIII, 852 p.
33 illus., 28 illus. in color.
Hardcover
ISBN 978-3-030-41849-6
Product category : Proceedings
Series : Springer Proceedings in Mathematics & Statistics
Gathers in a single volume the latest research conducted by an international
group of experts on affine and projective algebraic geometry
Covers topics like the Cancellation Problem, the Embedding Problem, the
Dolgachev-Weisfeiler Conjecture, and more
Offers a valuable source of information and inspiration for researchers and
students pursuing new problems and research paths
This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial
Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan
University on February 12-16, 2018. Readers will find some of the latest research conducted
by an international group of experts on affine and projective algebraic geometry. The topics
covered include group actions and linearization, automorphism groups and their structure as
infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding
Problem, Mathieu spaces and the Jacobian Conjecture, the Dolgachev-Weisfeiler Conjecture,
classification of curves and surfaces, real forms of complex varieties, and questions of
rationality, unirationality, and birationality. These papers will be of interest to all researchers
and graduate students working in the fields of affine and projective algebraic geometry, as well
as on certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein
manifolds.
Due 2020-06-05
1st ed. 2020, X, 315 p. 9
illus., 3 illus. in color.
Hardcover
ISBN 978-3-030-42135-9
Product category : Proceedings
Series : Springer Proceedings in Mathematics & Statistics