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This book provides a lens through which modern society is shown to
depend on complex networks for its stability. One way to achieve
this understanding is through the development of a new kind of
science, one that is not explicitly dependent on the traditional
disciplines of biology, economics, physics, sociology and so on; a
science of networks. This text reviews, in non-mathematical
language, what we know about the development of science in the... more...

Coalgebraic logic is an important research topic in the areas of
concurrency theory, semantics, transition systems and modal logics.
It provides a general approach to modeling systems, allowing us to
apply important results from coalgebras, universal algebra and
category theory in novel ways. Stochastic systems provide important
tools for systems modeling, and recent work shows that categorical
reasoning may lead to new insights, previously not... more...

This book offers an elementary and self-contained introduction to
many fundamental issues concerning approximate solutions of
operator equations formulated in an abstract Banach space setting,
including important topics such as solvability, computational
schemes, convergence stability and error estimates. The operator
equations under investigation include various linear and nonlinear
types of ordinary and partial differential equations, integral... more...

A flexible program with the solid content students
need
Glencoe Algebra 1 strengthens student understanding and
provides the tools students need to succeedâ€”from the first day your
students begin to learn the vocabulary of algebra until the day
they take final exams and standardized tests.

In this volume, an abstract theory of 'forms' is developed, thus
providing a conceptually satisfying framework for the
classification of forms of Fermat equations. The classical results
on diagonal forms are extended to the broader class of all forms of
Fermat varieties. The main topic is the study of forms of the
Fermat equation over an arbitrary field K. Using Galois descent,
all such forms are classified; particularly, a complete and
explicit... more...

This text provides the interval analysis community with surveys of
important recent developments in the creation of validated
numerical algorithms. In addition, the publication informs the
numerical analysts and appliers of numerical software about the
enormous variety of problem-solving algorithms now available, even
for sophisticated problems which were beyond reach at the beginning
of research some two decades ago. Contributions are sourced from a... more...

Published in honor of his 70th birthday, this volume explores and
celebrates the work of G.W. (Pete) Stewart, a world-renowned expert
in computational linear algebra. This volume includes: forty-four
of Stewart's most influential research papers in two subject areas:
matrix algorithms, and rounding and perturbation theory; a
biography of Stewart; a complete list of his publications,
students, and honors; selected photographs; and commentaries on his... more...

Algebraic combinatorics has evolved into one of the most active
areas of mathematics. Its developments have become more interactive
with not only its traditional field representation theory but also
geometry, mathematical physics and harmonic analysis. This book
presents articles from some of the key contributors in the area. It
covers Hecke algebras, Hall algebras, the Macdonald polynomial and
its deviations, and their relations with other fields.

In presenting a detailed study of the geometry and topology of
numerous classes of "generic" singularities, Geometry of
Topological Stability bridges the gap between algebraic
calculations and continuity arguments to detail the necessary and
sufficient conditions for a C (infinity) to be C]0-stable.
Throughout, the authors masterfully examine this important subject
using results culled from a broad range of mathematical
disciplines, including geometric... more...

This book is a festschrift in honor of Professor Anthony Gaglione's
sixtieth birthday. This volume presents an excellent mix of
research and expository articles on various aspects of infinite
group theory. The papers give a broad overview of present research
in infinite group theory in general, and combinatorial group theory
and non-Abelian group-based cryptography in particular. They also
pinpoint the interactions between combinatorial group theory... more...