Sort by:

Geometric Modeling and Algebraic Geometry, though closely
related, are traditionally represented by two almost disjoint
scientific communities. Both fields deal with objects defined by
algebraic equations, but the objects are studied in different
ways. In 12 chapters written by leading experts, this book
presents recent results which rely on the interaction of both
fields. Some of these results have been obtained from a major
European... more...

The book provides an introduction to sub-Riemannian geometry
and optimal transport and presents some of the recent progress in
these two fields. The text is completely self-contained: the linear
discussion, containing all the proofs of the stated results, leads
the reader step by step from the notion of distribution at the very
beginning to the existence of optimal transport maps for Lipschitz
sub-Riemannian structure. The combination of... more...

The Liber mahameleth is a work in Latin written in the mid-12th
century based (mainly) on Arabic sources from Islamic Spain. It
is now our principal source on mathematics in Islamic Spain at
that time; There are few extant Arabic texts and no one is as
complete as the LM. It is also the second largest mathematical
work from the Latin Middle Ages (the other is by Fibonacci, some
50 years later).
Since the three main manuscripts... more...

* Learn how complex numbers may be used to solve algebraic
equations, as well as their geometric interpretation
* Theoretical aspects are augmented with rich exercises and
problems at various levels of difficulty
* A special feature is a selection of outstanding Olympiad
problems solved by employing the methods presented
* May serve as an engaging supplemental text for an introductory
undergrad course on complex numbers or number... more...

In this book the authors present a number of examples which lead to
ill-posed problems arising with the processing and interpretation
of data of physical measurements. Basic postulates and some results
in the general theory of ill-posed problems follow. The exposition
also includes problems of analytic continuation from continua and
discrete sets, analogous problems of continuation of solutions of
elliptic and parabolic equations, the main ill-posed... more...

Outer billiards is a basic dynamical system defined relative to a
convex shape in the plane. B. H. Neumann introduced this system
in the 1950s, and J. Moser popularized it as a toy model for
celestial mechanics. All along, the so-called Moser-Neumann
question has been one of the central problems in the field. This
question asks whether or not one can have an outer billiards
system with an unbounded orbit. The Moser-Neumann question is... more...

* Devoted to the motion of surfaces for which the normal velocity
at every point is given by the mean curvature at that point; this
geometric heat flow process is called mean curvature flow.
* Mean curvature flow and related geometric evolution equations
are important tools in mathematics and mathematical physics.

These volumes are based on lecture courses and seminars given at
the LMS Durham Symposium on the geometry of low-dimensional
manifolds. This area has been one of intense research recently,
with major breakthroughs that have illuminated the way a number of
different subjects (topology, differential and algebraic geometry
and mathematical physics) interact.

This volume includes articles that are a sampling of modern day
algebraic geometry with associated group actions from its leading
experts. There are three papers examining various aspects of
modular invariant theory (Broer, Elmer and Fleischmann, Shank and
Wehlau), and seven papers concentrating on characteristic 0
(Brion, Daigle and Freudenberg, Greb and Heinzner, Helminck,
Kostant, Kraft and Wallach, Traves).