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This book collects some surveys on current trends in discrete
mathematics and discrete geometry. The areas covered include:
graph representations, structural graphs theory, extremal
graph theory, Ramsey theory and constrained satisfaction problems.

The subject of this book is arithmetic algebraic geometry, an area
between number theory and algebraic geometry. It is about applying
geometric methods to the study of polynomial equations in rational
numbers (Diophantine equations). This book represents the first
complete and coherent exposition in a single volume, of both the
theory and applications of torsors to rational points. Some very
recent material is included. It is demonstrated that torsors... more...

Brings Readers Up to Speed in This Important and Rapidly
Growing Area
Supported by many examples in mathematics, physics, economics,
engineering, and other disciplines, Essentials of
Topology with Applications provides a clear, insightful,
and thorough introduction to the basics of modern topology. It
presents the traditional concepts of topological space, open and
closed sets, separation axioms, and more, along with applications... more...

Building on the success of its first five editions, the Sixth
Edition of the market-leading text explores the important
principles and real-world applications of plane, coordinate, and
solid geometry. Strongly influenced by both NCTM and AMATYC
standards, the text includes intuitive, inductive, and deductive
experiences in its explorations. Goals of the authors for the
students include a comprehensive development of the vocabulary of
geometry, an... more...

This volume deals with various topics around
equivariant holomorphic maps of Hermitian symmetric domains and
is intended for specialists in number theory and algebraic
geometry. In particular, it contains a comprehensive exposition
of mixed automorphic forms that has never yet appeared in
book form. The main goal is to explore connections among
complex torus bundles, mixed automorphic forms, and Jacobi forms... more...

This encyclopedia presents an all-embracing collection of
analytical surface classes. It provides concise
definitions and description for more than 500 surfaces and
categorizes them in 38 classes of analytical surfaces. All classes
are cross references to the original literature in an excellent
bibliography.
The encyclopedia is of particular interest to structural and civil
engineers and serves as valuable reference for mathematicians.

This volume is dedicated to the memory of Shoshichi Kobayashi,
and gathers contributions from distinguished researchers working
on topics close to his research areas. The book is organized into
three parts, with the first part presenting an overview of
Professor Shoshichi Kobayashi’s career. This is followed by two
expository course lectures (the second part) on recent topics in
extremal Kähler metrics and value distribution theory,... more...

The present volume is a collection of a dozen survey articles,
dedicated to the memory of the famous Hungarian geometer, László
Fejes Tóth, on the 99th anniversary of his birth. Each article
reviews recent progress in an important field in intuitive,
discrete, and convex geometry. The mathematical work and
perspectives of all editors and most contributors of this volume
were deeply influenced by László Fejes Tóth.

This book explores fundamental aspects of geometric network
optimisation with applications to a variety of real world
problems. It presents, for the first time in the literature, a
cohesive mathematical framework within which the properties of
such optimal interconnection networks can be understood across a
wide range of metrics and cost functions. The book makes use of
this mathematical theory to develop efficient algorithms for... more...

This collection of surveys and research articles explores a
fascinating class of varieties: Beauville surfaces. It is the
first time that these objects are discussed from the points of
view of algebraic geometry as well as group theory. The book also
includes various open problems and conjectures related to these
surfaces.
Beauville surfaces are a class of rigid regular surfaces of
general type, which can be described in a purely... more...