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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...

Across the centuries, the development and growth of mathematical
concepts have been strongly stimulated by the needs of mechanics.
Vector algebra was developed to describe the equilibrium of force
systems and originated from Stevin's experiments (1548-1620).
Vector analysis was then introduced to study velocity fields and
force fields. Classical dynamics required the differential calculus
developed by Newton (1687). Nevertheless, the concept of... more...

This book illustrates the broad range of Jerry Marsden’s
mathematical legacy in areas of geometry, mechanics, and
dynamics, from very pure mathematics to very applied, but always
with a geometric perspective. Each contribution develops its
material from the viewpoint of geometric mechanics beginning at
the very foundations, introducing readers to modern issues via
illustrations in a wide range of topics. The twenty refereed
papers... more...

This invaluable monograph has arisen in part from E Witten's
lectures on topological quantum field theory in the spring of 1989
at Princeton University. At that time Witten unified several
important mathematical works in terms of quantum field theory, most
notably the Donaldson polynomial, the Gromov-Floer homology and the
Jones polynomials. In his lectures, among other things, Witten
explained his intrinsic three-dimensional construction of Jones... more...