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In recent years, research in K3 surfaces and Calabi–Yau varieties
has seen spectacular progress from both arithmetic and geometric
points of view, which in turn continues to have a huge influence
and impact in theoretical physics—in particular, in string
theory. The workshop on Arithmetic and Geometry of K3
surfaces and Calabi–Yau threefolds, held at the Fields Institute
(August 16-25, 2011), aimed to give a... more...

Diophantine geometry has been studied by number theorists for
thousands of years, since the time of Pythagoras, and has continued
to be a rich area of ideas such as Fermat's Last Theorem, and most
recently the ABC conjecture. This monograph is a bridge between the
classical theory and modern approach via arithmetic geometry. The
authors provide a clear path through the subject for graduate
students and researchers. They have re-examined many results... more...

This book provides a tour of the principal areas and methods of
modern differential geometry. Beginning at the introductory level
with curves in Euclidian space, the sections become more
challenging, arriving finally at the advanced topics that form
the greatest part of the book: transformation groups, the
geometry of differential equations, geometric structures, the
equivalence problem, the geometry of elliptic operators.

This book features recent developments in a rapidly growing
area at the interface of higher-dimensional birational geometry
and arithmetic geometry. It focuses on the geometry of
spaces of rational curves, with an emphasis on applications to
arithmetic questions. Classically, arithmetic is the study
of rational or integral solutions of diophantine equations and
geometry is the study of lines and conics. From the... more...

This original monograph aims to explore the dynamics in the
particular but very important and significant case of
quasi-integrable Hamiltonian systems, or integrable systems
slightly perturbed by other forces. With both analytic and
numerical methods, the book studies several of these
systems—including for example the hydrogen atom or the solar
system, with the associated Arnold web—through modern tools such
as the frequency... more...

This comprehensive and self-contained account of the extrinsic
geometry of algebraic curves applies the theory of linear series to
a number of classical topics, including the geometry of the Reimann
theta divisor, as well as to contemporary research.

This volume contains most of the papers presented at EUCOMES
2008, the Second European Conference on Mechanism Science.
The contributions have been grouped in sessions on Theoretical
and Computational Kinematics, History of Mechanism Science,
Design Algorithms, Mechanism Designs, Mechanical Transmissions,
Gearing Systems, Manipulators, Linkages, Mechanics of Robots,
Experimental Mechanics, Dynamics of Multibody Systems, Industrial... more...

This practical introduction to the techniques needed to produce
high-quality mathematical illustrations is suitable for anyone with
basic knowledge of coordinate geometry. Bill Casselman combines a
completely self-contained step-by-step introduction to the graphics
programming language PostScript with an analysis of the
requirements of good mathematical illustrations. The many small
simple graphics projects can also be used in courses in geometry,... more...

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