Topology

The same factors that motivated the writing of our first volume of strategic activities on fractals continued to encourage the assembly of additional activities for this second volume.

Addressed to all readers with an interest in fractals, hyperspaces, fixed-point theory, tilings and nonstandard analysis, this book presents its subject in an original and accessible way complete with many figures.

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

This updated and revised third edition of the leading reference volume on distance metrics includes new items from very active research areas in the use of distances and metrics such as geometry, graph theory, probability theory and analysis.

This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research.

The topic of this book sits at the interface of the theory of higher categories (in the guise of (infinity,1)-categories) and the theory of properads.

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry.

The key geometric objects underlying Morse homology are the moduli spaces of connecting gradient trajectories between critical points of a Morse function.

This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach.

This second edition addresses the question of which finite groups occur as Galois groups over a given field.

The hexaflexagon is a folded paper strip of colored triangles that has long delighted people with how it "e;magically"e; changes its appearance when "e;flexed"e;.

Motility is a fundamental property of living systems, from the cytoplasmic streaming of unicellular organisms to the most highly differentiated and devel- oped contractile system of higher organisms, striated muscle.

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.

In this graduate-level book, leading researchers explore various new notions of ''space'' in mathematical physics.

In 1993, M Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry.

In the long run of a dynamical system, after transient phenomena have passed away, what remains is recurrence.

Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology.

Topology is the mathematical study of the most basic geometrical structure of a space.

An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.

In mathematics, general topology or point-set topology is the branch of topology which studies properties of topological spaces and structures defined on them.

This book delivers stimulating input for a broad range of researchers, from geographers and ecologists to psychologists interested in spatial perception and physicists researching in complex systems.

Calculus Using Mathematica is intended for college students taking a course in calculus.

The subject matter of compact groups is frequently cited in fields like algebra, topology, functional analysis, and theoretical physics.

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

Dynamical Systems is a collection of papers that deals with the generic theory of dynamical systems, in which structural stability becomes associated with a generic property.

The first systematic account of the basic theory of normed algebras, without assuming associativity.

Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as to problems in computer science, biological and medical research, and mathematical physics.

Important monograph on finite group theory.

Algebra, as we know it today, consists of many different ideas, concepts and results.

Nonlinear analysis is a remarkable mixture of topology, analysis and applied mathematics.

Topological Vector Spaces, Distributions and Kernels discusses partial differential equations involving spaces of functions and space distributions.

DYNAMICS REPORTED reports on recent developments in dynamical systems.

Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras.

The theory of Riemann surfaces occupies a very special place in mathematics.

The Unconscious as Space explores the experience of being and the practice of psychoanalysis by thinking of the unconscious in mathematical terms.

This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions.

This book introduces the theory of enveloping semigroups-an important tool in the field of topological dynamics-introduced by Robert Ellis.

Singularities arise naturally in a huge number of different areas of mathematics and science.

This study of hyperbolic geometry has both pedagogy and research in mind, and includes exercises and further reading for each chapter.

This book provides an introduction to the topological classification of smooth structurally stable diffeomorphisms on closed orientable 2- and  3-manifolds.

This book comprises an overview of twelve months of intense activity of the research group Geometry, Topology, Algebra, and Applications (GEOMVAP) at the Universitat Politecnica de Catalunya (UPC).

Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions.

Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject.