Geometry

This book contains papers given at the International Singularity Conference held in 1991 at Lille.

Coverage includes foundational material as well as current research, authored by top specialists within their fields.

The main goal of this work is to revisit the proof of the global stability of Minkowski space by D.

This paper is a contribution to the topological study of vector fields on manifolds.

Abelian varieties are special examples of projectivevarieties.

In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps.

This book provides an introduction to fundamental methods and techniques of algebra over ordered fields.

This volume deals with the theory of finite topological spaces and itsrelationship with the homotopy and simple homotopy theory of polyhedra.

A quick introduction to foliations and Lie groupoids with numerous examples and exercises to aid the reader.

Fields Medal-winning mathematician John Milnor's classic treatment of singular points of complex hypersurfacesOne of the greatest mathematicians of the twentieth century, John Milnor has made fundamental discoveries in diverse areas of mathematics, from topology and dynamical systems to algebraic K-theory.

A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school.

The topics in this survey volume concern research done on the differential geom- etry of foliations over the last few years.

Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones.

This handsome book is aimed towards those with an intermediate skill level, but the origami basics included at the start of the book make it accessible to beginners.

47 brauchen nur den Nenner n so groß zu wählen, daß das Intervall [0, IJn] kleiner wird als das fragliche Intervall [A, B], dann muß mindestens einer der Brüche m/n innerhalb des Intervalls liegen.

A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.

This book is a posthumous publication of a classic by Prof.

Based on the Simons Symposia held in 2015, the proceedings in this volume focus on rational curves on higher-dimensional algebraic varieties and applications of the theory of curves to arithmetic problems.

The Center and Focus Problem: Algebraic Solutions and Hypotheses, M.

This book deals with fractals in understanding problems encountered in earth science, and their solutions.

The main goal of the two authors is to help undergraduate students understand the concepts and ideas of combinatorics, an important realm of mathematics, and to enable them to ultimately achieve excellence in this field.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

This book consists of a series of introductory lectures on mirror symmetry and its surrounding topics.

This monograph provides a comprehensive introduction to the theory of complex normal surface singularities, with a special emphasis on connections to low-dimensional topology.

Interest in the study of geometry is currently enjoying a resurgence-understandably so, as the study of curves was once the playground of some very great mathematicians.

This book is a first-year graduate text on electromagnetic fields and waves.

In 1988 Shafarevich asked me to write a volume for the Encyclopaedia of Mathematical Sciences on Diophantine Geometry.

The problem of quark confinement is one of the classic unsolved problems of particle physics and is fundamental to our understanding of the physics of the strong interaction and the behaviour of non-Abelian gauge theories in general.

These notes are based on a course of lectures given at Princeton University during the academic year 19661967.

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other.

Singular algebraic curves have been in the focus of study in algebraic geometry from the very beginning, and till now remain a subject of an active research related to many modern developments in algebraic geometry, symplectic geometry, and tropical geometry.

This monograph presents new insights into the perturbation theory of dynamical systems based on the Gromov-Hausdorff distance.

This 2003 book investigates interplay between algebra and geometry.

This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay.

Rigorous descriptions and analyses of the main algorithms for different variations of the Geometric Spanner Network Problem.

Over the past 20 years, the theory of groups - in particular simple groups, finite and algebraic - has influenced a number of diverse areas of mathematics.

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Analytical Geometry contains various topics in analytical geometry, which are required for the advanced and scholarship levels in mathematics of the various Examining Boards.

This book provides an up-to-date presentation of homogeneous pseudo-Riemannian structures, an essential tool in the study of pseudo-Riemannian homogeneous spaces.

In the fall semester of 1979 I gave a course on deformation theory at Berkeley.

This proceedings presents the latest research materials done on group theory from geometrical viewpoint in particular Gromov's theory of hyperbolic groups, Coxeter groups, Tits buildings and actions on real trees.

This established reference work continues to provide its readers with a gateway to some of the most interesting developments in contemporary geometry.