Geometry

This work investigates how different fifth-grade students solve spatial-verbal tasks and the role of language in this process.

This 1985 book covers from first principles the theory of Syzygies.

In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface.

As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis.

Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics.

In this book we study Hilbert schemes of zero-dimensional subschemes of smooth varieties and several related parameter varieties of interest in enumerative geometry.

The articles in this volume study various cohomological aspects of algebraic varieties:- characteristic classes of singular varieties;- geometry of flag varieties;- cohomological computations for homogeneous spaces;- K-theory of algebraic varieties;- quantum cohomology and Gromov-Witten theory.

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory.

The book is the second volume of a collection which consists of surveys that focus on important topics in geometry which are at the heart of current research.

Federico Gaeta (1923-2007) was a Spanish algebraic geometer who was a student of Severi.

This book describes the rapidly developing field of interior point methods (IPMs).

Bifurcation of Maps and Applications

The literature on the spectral analysis of second order elliptic differential operators contains a great deal of information on the spectral functions for explicitly known spectra.

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field.

This book documents the results of a workshop held at the Geometry Center (University of Minnesota, Minneapolis) and captures the excitement of the week.

Das vorliegende Lehrbuch bietet eine moderne Einführung in die Differentialgeometrie etwa im Umfang einer einsemestrigen Vorlesung.

The main focus of this unique book is an in-depth examination of the polygonal technique; the primary method used by master artists of the past in creating Islamic geometric patterns.

Hermitian symmetric spaces are an important class of manifolds that can be studied with methods from Kahler geometry and Lie theory.

Explores the beautifully intricate dynamics of pop-up cards using high school mathematics, making tangible what is often dry and abstract.

Integrable Hamiltonian systems have been of growing interest over the past 30 years and represent one of the most intriguing and mysterious classes of dynamical systems.

The theory presented in this work merges many concepts from mathematical optimization and real algebraic geometry.

Lattices are discrete subgroups of maximal rank in a Euclidean space.

The present text is an introduction to the theory of association schemes.

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

The Third International Workshop on Complex Structures and Vector Fields was held to exchange information on current topics in complex analysis, differential geometry and mathematical physics, and to find new subjects in these fields.

Algebraic geometry is, loosely speaking, concerned with the study of zero sets of polynomials (over an algebraically closed field).

Collecting together contributed lectures and mini-courses, this book details the research presented in a special semester titled "e;Geometric mechanics - variational and stochastic methods"e; run in the first half of 2015 at the Centre Interfacultaire Bernoulli (CIB) of the Ecole Polytechnique Federale de Lausanne.

A geometric process is a simple monotone process that was first introduced by the author in 1988.

This book presents cutting-edge research, advanced techniques, and practical applications of Algebra Analysis and Topology.

Many of the modern variational problems in topology arise in different but overlapping fields of scientific study: mechanics, physics and mathematics.

Cuts and metrics are well-known objects that arise - independently, but with many deep and fascinating connections - in diverse fields: in graph theory, combinatorial optimization, geometry of numbers, combinatorial matrix theory, statistical physics, VLSI design etc.

The aim of this work is to present in a unified approach a series of results concerning totally convex functions on Banach spaces and their applications to building iterative algorithms for computing common fixed points of mea- surable families of operators and optimization methods in infinite dimen- sional settings.

"e;Stereotomy"e; is a comprehensive handbook on stereotomy, the art or technique of cutting stone, with chapters on quarrying, cutting, finishing, tools and equipment, masonry, and much more.

This book contains a series of research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields.

This book provides a comprehensive introduction to Submanifold theory, focusing on general properties of isometric and conformal immersions of Riemannian manifolds into space forms.

This book collects recent research papers by respected specialists in the field.

A mathematician unacquainted with tensor calculus is at a serious disadvantage in several fields of pure and applied mathematics.

This EMS volume consists of two parts.

This advanced textbook provides a comprehensive and unified account of the moment problem.