Topology

Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approxi...

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

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

This book is an introduction to several active research topics in Foliation Theory and its connections with other areas. It contains expository lec...

The special semester 'Singularities and low dimensional topology' in the Spring of 2023 at the Erds Center (Budapest) brought together algebraic ge...

The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together s...

This textbook offers a rigorous mathematical introduction to cellular automata (CA). Numerous colorful graphics illustrate the many intriguing phen...

The body of work presented in this book comes from research carried out since 2017 as part of the international Actualité de René Thom project. Thi...

This monograph provides a comprehensive introduction to surgery theory, the main tool in the classification of manifolds.Surgery theory was develop...

It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscill...

In this book Francois De Gandt introduces us to the reading of Newton's Principia in its own terms. The path of access that De Gandt proposes leads...

Mathematics is a concise introduction to six selected areas of 20th century mathematics providing numerous modern mathematical tools used in cont...

Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory. Rather than discuss the subject...

Aimed at graduate students, this textbook provides an accessible and comprehensive introduction to operator theory. Rather than discuss the subject...

This volume contains eight research papers inspired by the 2019 'Equivariant Topology and Derived Algebra' conference, held at the Norwegian Univer...

Complex Analysis is the powerful fusion of the complex numbers (involving the 'imaginary' square root of -1) with ordinary calculus, resulting in a...

The method of using the moduli space of pseudo-holomorphic curves on a symplectic manifold was introduced by Mikhail Gromov in 1985. From the appea...

This book gives a clear introductory account of equivariant cohomology, a central topic in algebraic topology. Equivariant cohomology is concerned ...

This book is devoted to group-theoretic aspects of topological dynamics such as studying groups using their actions on topological spaces, using gr...

After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concept...

After the development of manifolds and algebraic varieties in the previous century, mathematicians and physicists have continued to advance concept...

Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy samp...

This text organizes a range of results in chromatic homotopy theory, running a single thread through theorems in bordism and a detailed understandi...

Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as...

Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discov...

When scientists analyze datasets in a search for underlying phenomena, patterns or causal factors, their first step is often an automatic or semi-a...

These proceedings contain the contributions of some of the participants in the intensive research period held at the De Giorgi Research Center in P...

Volume III of the Collected Works of V.I. Arnold contains papers written in the years 1972 to 1979. The main theme emerging in Arnold's work of thi...

In general terms, a graph decomposition is a partition of a graph into parts satisfying some special conditions. Methods of Graph Decompositions di...

Mathematical No/ex, 27 Originally published in 1981. The Princeton Legacy Library uses the latest print-on-demand technology to again make availa...

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigs...