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This unique text brings together into a single framework current
research in the three areas of discrete calculus, complex
networks, and algorithmic content extraction. Many example
applications from several fields of computational science are
provided.

Problems with multiple objectives and criteria are generally known
as multiple criteria optimization or multiple criteria
decision-making (MCDM) problems. So far, these types of problems
have typically been modelled and solved by means of linear
programming. However, many real-life phenomena are of a nonlinear
nature, which is why we need tools for nonlinear programming
capable of handling several conflicting or incommensurable
objectives. In this... more...

This book is dedicated to the theory of continuous selections of
multi valued mappings, a classical area of mathematics (as far as
the formulation of its fundamental problems and methods of
solutions are concerned) as well as !'J-n area which has been
intensively developing in recent decades and has found various
applications in general topology, theory of absolute retracts and
infinite-dimensional manifolds, geometric topology, fixed-point
theory,... more...

Calculus without Limits is an original exposition of
single-variable calculususing the classic differential approach.
Written in an engaging, popular styleby an award-winning teacher,
Calculus without Limits is thefirst completely new calculus book
tohit the shelves in 95 years that deliberately minimizes the useof
limits, one of the major stumbling blocks initially standing in the
way ofcalculus students. Calculus without Limits presents its
subject... more...

This book is the first easy-to-read text on nonsmooth
optimization (NSO, not necessarily diﬀerentiable optimization).
Solving these kinds of problems plays a critical role in many
industrial applications and real-world modeling systems, for
example in the context of image denoising, optimal control,
neural network training, data mining, economics and computational
chemistry and physics. The book covers both the theory and the... more...

This textbook is aimed at newcomers to nonlinear dynamics and
chaos, especially students taking a first course in the subject.
The presentation stresses analytical methods, concrete examples,
and geometric intuition. The theory is developed systematically,
starting with first-order differential equations and their
bifurcations, followed by phase plane analysis, limit cycles and
their bifurcations, and culminating with the Lorenz... more...

Macdonald and Morris gave a series of constant term $q$-conjectures
associated with root systems. Selberg evaluated a multivariable
beta type integral which plays an important role in the theory of
constant term identities associated with root systems. Aomoto
recently gave a simple and elegant proof of a generalization of
Selberg's integral. Kadell extended this proof to treat Askey's
conjectured $q$-Selberg integral, which was proved independently by... more...

Electromagnetic complex media are artificial materials that
affect the propagation of electromagnetic waves in surprising
ways not usually seen in nature. Because of their wide range of
important applications, these materials have been intensely
studied over the past twenty-five years, mainly from the
perspectives of physics and engineering. But a body of rigorous
mathematical theory has also gradually developed, and this is the
first... more...

Drawing on their decades of teaching experience, William Briggs and
Lyle Cochran have created a calculus text that carries the
teacher’s voice beyond the classroom. That voice—evident in the
narrative, the figures, and the questions interspersed in the
narrative—is a master teacher leading readers to deeper levels of
understanding. The authors appeal to readers’ geometric intuition
to introduce fundamental concepts and lay the foundation for... more...