Series
Lecture Notes of the Unione Matematica
1st ed. 2018, X, 90 p. 3 illus.
Softcover
ISBN 978-3-319-99482-6
Winner of the 2017 Book Prize of the Unione Matematica Italiana
Covers topics not surveyed before in the literature
Requires only basic knowledge of complex and Kahler geometry
Exercises at the end of each chapter
The aim of this book is to describe Calabi's original work on Kahler immersions of Kahler
manifolds into complex space forms, to provide a detailed account of what is known today on
the subject and to point out some open problems. Calabi's pioneering work, making use of the
powerful tool of the diastasis function, allowed him to obtain necessary and sufficient
conditions for a neighbourhood of a point to be locally Kahler immersed into a finite or infinitedimensional
complex space form. This led to a classification of (finite-dimensional) complex
space forms admitting a Kahler immersion into another, and to decades of further research on
the subject. Each chapter begins with a brief summary of the topics to be discussed and ends
with a list of exercises designed to test the reader's understanding. Apart from the section on
Kahler immersions of homogeneous bounded domains into the infinite complex projective
space, which could be skipped without compromising the understanding of the rest of the
book, the prerequisites to read this book are a basic knowledge of complex and Kahler
geometry.
1st ed. 2018, X, 202 p. 137 illus.
Printed book
Softcover
ISBN 978-3-319-98136-9
First book to provide a unified category theoretical description of apparently
different generalizations of Hopf algebras (including Hopf algebroids, weak
Hopf algebras, and Hopf bimonoids in duoidal categories)
Includes fully worked solutions to the exercises
Enjoys a rigorous Bourbaki-style presentation, supplemented with various
examples
These lecture notes provide a self-contained introduction to a wide range of generalizations of
Hopf algebras. Multiplication of their modules is described by replacing the category of vector
spaces with more general monoidal categories, thereby extending the range of applications.
Since Sweedler's work in the 1960s, Hopf algebras have earned a noble place in the garden of
mathematical structures. Their use is well accepted in fundamental areas such as algebraic
geometry, representation theory, algebraic topology, and combinatorics. Now, similar to having
moved from groups to groupoids, it is becoming clear that generalizations of Hopf algebras
must also be considered. This book offers a unified description of Hopf algebras and their
generalizations from a category theoretical point of view. The author applies the theory of
liftings to Eilenberg?Moore categories to translate the axioms of each considered variant of a
bialgebra (or Hopf algebra) to a bimonad (or Hopf monad) structure on a suitable functor.
Covered structures include bialgebroids over arbitrary algebras, in particular weak bialgebras,
and bimonoids in duoidal categories, such as bialgebras over commutative rings, semi-Hopf
group algebras, small categories, and categories enriched in coalgebras.
1st ed. 2018, LX, 3400 p.
839 illus., 628 illus. in color.
In 4 volumes, not available separately.
Hardcover
ISBN 978-3-319-55332-0
Offers complete up-to-date coverage of emerging exoplanet studies, touching
on every possible topic on the subject
Includes contributions by outstanding scholars in the field and young
researchers who have made exoplanets one of the fastest growing branches
of modern astronomy
Frequent updates will ensure that the work will continue to serve as an
indispensable reference in this field, which overlaps with many other scientific
disciplines, such as geology, meteorology, and atmospheric chemistry
This state-of-the-art reference work includes over 15 sections dealing with all aspects of
exoplanets and exobiology research, including historic aspects, the Solar System as a template,
objects at the planet-to-star transition, exoplanet detection and characterization with related
instrumentation, technology and software tools, planet and planet-system statistics with recent
and planned surveys, their atmosphere and formation and evolution processes, habitability and
exobiology implications, and outlooks for future exploration and science development, including
visionary contributions. Each section has 10-20 contributions written by thetop experts in their
subject, including both senior researchers as well as young, smart researchers who represent
the future of the discipline. All in all, this handbook comprehensively tackles one of the most
challenging and dynamic fields of modern astronomy and astrophysics.
Pages: 5000
ISBN: 978-981-3272-87-3 (hardcover)
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.
Logic and Foundations
Algebra
Number Theory
Algebraic and Complex Geometry
Geometry
Topology
Lie Theory and Generalizations
Analysis and Operator Algebras
Dynamical Systems and Ordinary Differential Equations
Partial Differential Equations
Mathematical Physics
Probability and Statistics
Combinatorics
Mathematical Aspects of Computer Science
Numerical Analysis and Scientific Computing
Control Theory and Optimization
Mathematics in Science and Technology
Mathematics Education and Popularization of Mathematics
History of Mathematics
Students, researchers and academics who are keen on the current and leading developments in mathematics.
816 pp
Paperback
ISBN : 9780198824732
Hardback
ISBN : 9780198824725
189 x 246 mm
This textbook is rich with real-life data sets, uses RStudio to streamline computations, builds Mathematical Modeling and Applied Calculus will develop the insights and skills needed to describe and model many different aspects of our world. This textbook provides an excellent introduction to the process of mathematical modeling, the method of least squares, and both differential and integral calculus, perfectly meeting the needs of today's students.
Mathematical Modeling and Applied Calculus provides a modern outline of the ideas of Calculus and is aimed at those who do not intend to enter the traditional calculus sequence. Topics that are not traditionally taught in a one-semester Calculus course, such as dimensional analysis and the method of least squares, are woven together with the ideas of mathematical modeling and the ideas of calculus to provide a rich experience and a large toolbox of mathematical techniques for future studies. Additionally, multivariable functions are interspersed throughout the text, presented alongside their single-variable counterparts. This text provides a fresh take on these ideas that is ideal for the modern student.
ISBN : 9780198802006
800 pp
Multiple Copy Pack
156 x 234 mm
2018”N11ŒŽ
Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997. Geometry and Physics: A Festschrift in honour of Nigel Hitchin contain the proceedings of the conferences held in September 2016 in Aarhus, Oxford, and Madrid to mark Nigel Hitchin's 70th birthday, and to honour his far-reaching contributions to geometry and mathematical physics.
These texts contain 29 articles by contributors to the conference and other distinguished mathematicians working in related areas, including three Fields Medallists. The articles cover a broad range of topics in differential, algebraic and symplectic geometry, and also in mathematical physics. These volumes will be of interest to researchers and graduate students in geometry and mathematical physics.