A summary of the most important results in the existence and
stability of periodic solutions for ordinary differential equations
achieved in the twentieth century, along with relevant
applications. It differs from standard classical texts on
non-linear oscillations in that it also contains linear theory;
theorems are proved with mathematical rigor; and, besides the
classical applications such as Van der Pol's, Linard's and
Duffing's equations, most... more...

FACHGEB The last decade has seen a tremendous development in
critical point theory in infinite dimensional spaces and its
application to nonlinear boundary value problems. In particular,
striking results were obtained in the classical problem of periodic
solutions of Hamiltonian systems. This book provides a systematic
presentation of the most basic tools of critical point theory:
minimization, convex functions and Fenchel transform, dual least
action... more...

Deformable objects are ubiquitous in the world surrounding us, on
all levels from micro to macro. The need to study such shapes and
model their behavior arises in a wide spectrum of applications,
ranging from medicine to security. In recent years, non-rigid
shapes have attracted growing interest, which has led to rapid
development of the field, where state-of-the-art results from
very different sciences - theoretical and numerical... more...

The book presents new developments in the dynamic modeling and
optimization methods in environmental economics and provides a huge
range of applications dealing with the economics of natural
resources, the impacts of climate change and of environmental
pollution, and respective policy measures. The interrelationship
between economic activities and environmental quality, the
development of cleaner technologies, the switch from fossil to
renewable... more...

This research book provides a comprehensive overview of the
state-of-the-art subspace learning methods for pattern
recognition in intelligent environment. With the fast development
of internet and computer technologies, the amount of available
data is rapidly increasing in our daily life. How to extract core
information or useful features is an important issue. Subspace
methods are widely used for dimension reduction and feature... more...

Mathematical Methods for Signal and Image Analysis and
Representation presents the mathematical methodology for
generic image analysis tasks. In the context of this book an
image may be any m-dimensional empirical signal living on an
n-dimensional smooth manifold (typically, but not necessarily, a
subset of spacetime). The existing literature on image
methodology is rather scattered and often limited to either a
deterministic or a... more...

This work examines the geometrical and thermodynamical properties
of mechanical behavior of metals and many polymeric and
paste-like materials which are indispensable for developing a
rational theory of viscoplasticity. The book is intended for
researchers as well as Ph.D. students in the fields of material
science and continuum mechanics. Anyone involved in the design of
large scale industrial parts will also find this book highly... more...

Integral geometry is a fascinating area where numerous branches of
mathematics meet together. This book is concentrated around the
duality and double fibration, which is realized through the
masterful treatment of a variety of examples.

A new edition of a classical treatment of elliptic and modular
functions with some of their number-theoretic applications, this
text offers an updated bibliography and an alternative treatment
of the transformation formula for the Dedekind eta function. It
covers many topics, such as Hecke’s theory of entire forms with
multiplicative Fourier coefficients, and the last chapter
recounts Bohr’s theory of equivalence of general... more...

Partial dynamical systems, originally developed as a tool to study
algebras of operators in Hilbert spaces, has recently become an
important branch of algebra. Its most powerful results allow for
understanding structural properties of algebras, both in the purely
algebraic and in the C*-contexts, in terms of the dynamical
properties of certain systems which are often hiding behind
algebraic structures. The first indication that the study of an
algebra... more...