Topology

The theory of function spaces endowed with the topology of point wise convergence, or Cp-theory, exists at the intersection of three important areas of mathematics: topological algebra, functional analysis, and general topology.

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

The first instance of pre-computer fractals was noted by the French mathematician Gaston Julia.

This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications.

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

Exercises in Analysis will be published in two volumes.

No detailed description available for "e;Knots 90"e;.

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

At the heart of the topology of global optimization lies Morse Theory: The study of the behaviour of lower level sets of functions as the level varies.

Separate and Joint Continuity presents and summarises the main ideas and theorems that have been developed on this topic, which lies at the interface between General Topology and Functional Analysis (and the geometry of Banach spaces in particular).

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These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of ''Novikov Conjectures, Index Theorems and Rigidity''.

This text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology).

This book examines and explores Jacques Lacan's controversial topologisation of psychoanalysis, and seeks to persuade the reader that this enterprise was necessary and important.

This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject.

This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I.

This book draws on elements from everyday life, architecture, and the arts to provide the reader with elementary notions of geometric topology.

This first volume develops factorization algebras with a focus upon examples exhibiting their use in field theory, which will be useful for researchers and graduates.

This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that 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.

This volume covers many diverse topics related in varying degrees to mathematics in mind including the mathematical and topological structures of thought and communication.

In this richly illustrated book, the contributors describe the Mereon Matrix, its dynamic geometry and topology.

A lucid and self-contained treatment of many key ideas in topological dynamics, achieved by focusing on equivalence relations and automorphisms.

This collection of high-quality articles in the field of combinatorics, geometry, algebraic topology and theoretical computer science is a tribute to Jiri Matousek, who passed away prematurely in March 2015.

This book is a Festschrift for the 90th birthday of the physicist Pierre Noyes.

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations.

How I have (re-)written this book The book the reader has in hand was supposed to be a new edition of [14].

This is an in-depth report on the endotrivial modules, an important class of modular representations for finite groups.

This book contains a collection of papers presented at the 2nd Tbilisi Salerno Workshop on Mathematical Modeling  in March 2015.

Since the last century, the postulational method and an abstract point of view have played a vital role in the development of modern mathematics.

A comprehensive treatment of block theory, emphasising cornerstones of the area which have not appeared in any book before.

Etale Cohomology is one of the most important methods in modern Algebraic Geometry and Number Theory.

Originally published in 1984.

This textbook presents the theory of Metric Spaces necessary for studying analysis beyond one real variable.

This book is an outgrowth of the Workshop on "e;Regulators in Analysis, Geom- etry and Number Theory"e; held at the Edmund Landau Center for Research in Mathematical Analysis of The Hebrew University of Jerusalem in 1996.

The aim of this international conference the third of its type was to survey recent developments in Geometric Topology and Shape Theory with an emphasis on their interaction.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

This book is the fifth and final volume of Raoul Bott's Collected Papers.

This book provides an introduction to some key subjects in algebra and topology.

For Students Congratulations!

This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers.

Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Godel's Theorem, and the Skolem Paradox.