Topology

The articles in the proceedings are closely related to the lectures presented at the topology conference held at the University of Hawaii, August 12-18, 1990.

Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters.

This volume contains the courses and lectures given during the workshop on Differential Geometry and Topology held at Alghero, Italy, in June 1992.

This volume contains the conference on quantum topology, held at Kansas State University, Manhattan, KS, 24 - 28 March 1993.

This volume focuses on the more recent results in computational geometry, such as algorithms for computer pictures of algebraic surfaces, the dimensionality paradigm and medial axis transform in geometric and solid modeling, stationary and non-stationary subdivision schemes for the generation of curves and surfaces, minimum norm networks in CAGD, knot removal and constrained knot removal for spline curves, blossoming in CAGD, triangulation methods, geometric modeling.

In honour of the 65th birthday of Professor M Obata a workshop was held at Keio University.

These lectures introduce some very popular fields in topology.

This book covers recent topics in various aspects of foliation theory and its relation with other areas including dynamical systems, C*-algebras, index theory and low-dimensional topology.

The geometry of almost complex structures is fundamentally concerned with complex analysis and also mathematical physics.

As was already evident from the previous two meetings, the theory of stochastic processes, the study of geometrical structures, and the investigation of certain physical problems are inter-related.

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.

This proceedings volume can be considered as a monograph on the state-of-the-art in the wide range of analysis on infinite-dimensional algebraic-topological structures.

The Proceedings volume is divided into two parts.

One of the ways to understand the complexity in scientific disciplines is through the use of fractal geometry.

This volume reflects the work of the Brazilian topology community.

Recent success with the four-dimensional Poincare conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincare conjecture and other aspects of the problems of classifying three-dimensional manifolds.

This book provides a modern introduction to harmonic analysis and synthesis on topological groups.

The aim of this volume is to offer a set of high quality contributions on recent advances in Differential Geometry and Topology, with some emphasis on their application in physics.

This book presents the relationship between classical theta functions and knots.

This book gives a self-contained fundamental study of the subject.

This volume presents some of the longstanding research problems of Geometry and Topology.

This book focuses on the properties of nonlinear systems of PDE with geometrical origin and the natural description in the language of infinite-dimensional differential geometry.

This is a book of marvelous pictures that illustrates standard examples in low dimensional topology.

This book aims to fill the gap in the available literature on supermanifolds, describing the different approaches to supermanifolds together with various applications to physics, including some which rely on the more mathematical aspects of supermanifold theory.

The subject of geometry has become an important ingredient in condensed matter physics.

This book is an introduction to the role of topology in the quantization of classical systems.

This volume consists of papers written by eminent scientists from the international mathematical community, who present the latest information concerning the problem of Plateau after its classical solution by Jesse Douglas and Tibor Rado.

This book is devoted to the possible applications of spectral analysis and spectral synthesis for convolution type functional equations on topological abelian groups.

These original research papers, written during a period of over a quarter of a century, have two main objectives.

This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations.

A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length.

The book is an introduction to the foundations of Mathematics.

This book stresses the unifying power of the geometrical framework in bringing together concepts from the different areas of physics.

About one and a half decades ago, Feigenbaum observed that bifurcations, from simple dynamics to complicated ones, in a family of folding mappings like quadratic polynomials follow a universal rule (Coullet and Tresser did some similar observation independently).

Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges.

This book brings together twenty essays on diverse topics in the history and science of knots.

This book deals with the qualitative theory of dynamical systems and is devoted to the study of flows and cascades in the vicinity of a smooth invariant manifold.

This book reports recent major advances in automated reasoning in geometry.

The abstract homotopy theory is based on the observation that analogues of much of the topological homotopy theory and simple homotopy theory exist in many other categories (e.

In this second edition, the following recent papers have been added: "e;Gauss Codes, Quantum Groups and Ribbon Hopf Algebras"e;, "e;Spin Networks, Topology and Discrete Physics"e;, "e;Link Polynomials and a Graphical Calculus"e; and "e;Knots Tangles and Electrical Networks"e;.

This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry.

This book recounts the connections between multidimensional hypergeometric functions and representation theory.

Motivated by applications in theoretical computer science, the theory of finite semigroups has emerged in recent years as an autonomous area of mathematics.

This volume is a collection of research papers devoted to the study of relationships between knot theory and the foundations of mathematics, physics, chemistry, biology and psychology.

This volume includes both rigorous asymptotic results on the inevitability of random knotting and linking, and Monte Carlo simulations of knot probability at small lengths.