Sort by:

This book focuses on a large class of geometric objects in moduli
theory and provides explicit computations to investigate their
families. Concrete examples are developed that take advantage of
the intricate interplay between Algebraic Geometry and
Combinatorics. Compactifications of moduli spaces play a crucial
role in Number Theory, String Theory, and Quantum Field Theory – to
mention just a few. In particular, the notion of compactification
of... more...

This book details the heart and soul of modern commutative and
algebraic geometry. It covers such topics as the Hilbert Basis
Theorem, the Nullstellensatz, invariant theory, projective
geometry, and dimension theory. In addition to enhancing the text
of the second edition, with over 200 pages reflecting changes to
enhance clarity and correctness, this third edition of Ideals,
Varieties and Algorithms includes: a significantly updated... more...

The Way of Analysis gives a thorough account of real analysis in
one or several variables, from the construction of the real number
system to an introduction of the Lebesgue integral. The text
provides proofs of all main results, as well as motivations,
examples, applications, exercises, and formal chapter summaries.
Additionally, there are three chapters on application of analysis,
ordinary differential equations, Fourier series, and curves and... more...

The present volume provides a fascinating overview of geometrical
ideas and perceptions from the earliest cultures to the
mathematical and artistic concepts of the 20th century. It is the
English translation of the 3rd edition of the well-received
German book “5000 Jahre Geometrie,” in which geometry is
presented as a chain of developments in cultural history and
their interaction with architecture, the visual arts, philosophy,... more...

The second part of a two-volume set concerning the field of
Clifford (geometric) algebra, this work consists of thematically
organized chapters that provide a broad overview of cutting-edge
topics in mathematical physics and the physical applications of
Clifford algebras. This volume is a survey of most aspects of
Clifford analysis. Topics range from applications such as
complex-distance potential theory, supersymmetry, and fluid
dynamics to Fourier... more...

This volume presents the cutting-edge contributions to the Seventh
International Workshop on Complex Structures and Vector Fields,
which was organized as a continuation of the high successful
preceding workshops on similar research. The volume includes works
treating ambitious topics in differential geometry, mathematical
physics and technology such as Bezier curves in space forms,
potential and catastrophy of a soap film, computer-assisted studies
of... more...

Non-linear elliptic partial differential equations are an important
tool in the study of Riemannian metrics in differential geometry,
in particular for problems concerning the conformal change of
metrics in Riemannian geometry. In recent years the role played by
the second order semi-linear elliptic equations in the study of
Gaussian curvature and scalar curvature has been extended to a
family of fully non-linear elliptic equations associated with... more...

This book is a study of how a particular vision of the unity of
mathematics, often called geometric function theory, was created
in the 19th century. The central focus is on the convergence of
three mathematical topics: the hypergeometric and related linear
differential equations, group theory, and on-Euclidean geometry.
The text for this second edition has been greatly expanded and
revised, and the existing appendices enriched. The... more...

The three-volume set, consisting of LNCS 9008, 9009, and 9010,
contains carefully reviewed and selected papers presented at 15
workshops held in conjunction with the 12th Asian Conference on
Computer Vision, ACCV 2014, in Singapore, in November 2014. The 153
full papers presented were selected from numerous submissions. LNCS
9008 contains the papers selected for the Workshop on Human Gait
and Action Analysis in the Wild, the Second International... more...