Sort by:

Ricci Flow for Shape Analysis and Surface Registration introduces
the beautiful and profound Ricci flow theory in a discrete setting.
By using basic tools in linear algebra and multivariate calculus,
readers can deduce all the major theorems in surface' Ricci flow by
themselves. The authors adapt the Ricci flow theory to practical
computational algorithms, apply Ricci flow for shape analysis and
surface registration, and demonstrate the power of Ricci... more...

In his "Géométrie" of 1637 Descartes achieved a monumental
innovation of mathematical techniques by introducing what is now
called analytic geometry. Yet the key question of the book was
foundational rather than technical: When are geometrical objects
known with such clarity and distinctness as befits the exact
science of geometry? Classically, the answer was sought in
procedures of geometrical construction, in particular by ruler and
compass, but... more...

This volume covers in a comprehensive way and at an elementary
level essentially all the theorems and techniques which are
commonly used and needed in any branches of mathematics,
particularly in complex and in real analytic geometry, in
commutative algebra, in algebraic geometry and in real algebraic
geometry. In particular it presents Rueckert's complex
nullstellensatz, Risler's real nullstellensatz, Tougeron's implicit
function theorem and Artin's... more...

Start with a single shape. Repeat it in some way—translation,
reflection over a line, rotation around a point—and you have
created symmetry.
Symmetry is a fundamental phenomenon in art, science, and nature
that has been captured, described, and analyzed using
mathematical concepts for a long time. Inspired by the geometric
intuition of Bill Thurston and empowered by his own analytical
skills, John Conway, with his coauthors, has... more...

This publication would not have been what it is without the help of
many institutions and people, which I acknowledge most gratefully.
I thank the Central Library and Documentation Center, Iran, and its
director, Mr. Iraji Afshar, for permission to publish photo graphs
of that part of ms. 392 of the Shrine Library, Meshhed, containing
Diocles' treatise. I also thank the authorities of the Shrine
Library, and especially Mr. Ahmad GolchTn-Ma'anT, for... more...

One service mathematics has rendered the "Et moi, ...si j'a\'ait su
comment en revenir, human race. It has put common sense back je n'y
scrais point alit: Jules Verne where it belongs, on the topmost
shelf next to the dusty canister labc\led 'discarded non- The
series is divergent; therefore we may be sense'. Eric T. 8c\l able
to do something with it. O. Hcaviside Mathematics is a tool for
thought. A highly necessary tool in a world where both feedback... more...

This volume covers semilinear embeddings of vector spaces over
division rings and the associated mappings of Grassmannians. In
contrast to classical books, we consider a more general class of
semilinear mappings and show that this class is important. A large
portion of the material will be formulated in terms of graph
theory, that is, Grassmann graphs, graph embeddings, and isometric
embeddings. In addition, some relations to linear codes will be... more...

Students and professors of an undergraduate course in
differential geometry will appreciate the clear exposition and
comprehensive exercises in this book that focuses on the
geometric properties of curves and surfaces, one- and
two-dimensional objects in Euclidean space. The problems
generally relate to questions of local properties (the properties
observed at a point on the curve or surface) or global properties
(the properties of the... more...

This book provides quick access to the theory of Lie groups and
isometric actions on smooth manifolds, using a concise geometric
approach. After a gentle introduction to the subject, some of its
recent applications to active research areas are explored, keeping
a constant connection with the basic material. The topics discussed
include polar actions, singular Riemannian foliations,
cohomogeneity one actions, and positively curved manifolds with
many... more...

This book focuses on a large class of geometric objects in moduli
theory and provides explicit computations to investigate their
families. Concrete examples are developed that take advantage of
the intricate interplay between Algebraic Geometry and
Combinatorics. Compactifications of moduli spaces play a crucial
role in Number Theory, String Theory, and Quantum Field Theory – to
mention just a few. In particular, the notion of compactification
of... more...