Topology

Explorations in Topology gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal topology course.

Concise and modern introduction to differential topology with a hands-on approach and plentiful examples and exercises.

The discoveries of the past decade have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology.

Das vorliegende Buch zielt auf eine Vertiefung und Erweiterung geometrischer Kenntnisse von Studierenden der Mathematik und der Physik nach dem Grundstudium, und zwar an Hand unterschiedlicher, attraktiver, elementar-zugänglicher Themen der Geometrie.

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

Algebra, geometry and topology cover a variety of different, but intimately related research fields in modern mathematics.

?

This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel Lopez-Pellicer's mathematical research.

Over the last two decades, topological ideas have found increasingly more applications in quantum field theory.

In 1992 two successive symposia were held in Japan on algorithms, fractals and dynamical systems.

Delivers a broad, conceptual introduction to chromatic homotopy theory, focusing on contact with arithmetic and algebraic geometry.

This book gives a brief treatment of the equivariant cohomology of the classical configuration space F(R^d,n) from its beginnings to recent developments.

Boundary problems constitute an essential field of common mathematical interest.

The monograph is a study of the local bifurcations ofmultiparameter symplectic maps of arbitrary dimension in theneighborhood of a fixed point.

This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics.

This book is a comprehensive study of cyclic homology theory together with its relationship with Hochschild homology, de Rham cohomology, S1 equivariant homology, the Chern character, Lie algebra homology, algebraic K-theory and non-commutative differential geometry.

This book gives a systematic presentation of real algebraic varieties.

The aim of this book is to construct categories of spaces which contain all the C?

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid's Elements.

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics.

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds.

In this work the author extends results of rational homotopy theory to a subring of the rationale.

Combines cutting-edge research and expository articles in Hodge theory.

This popular graduate text has been thoroughly revised and updated to incorporate recent developments in the field.

Etale cohomology is an important branch in arithmetic geometry.

Comprehensive and visual introduction to the geometry of 4-dimensional symplectic manifolds via 2-dimensional almost-toric diagrams.

This book offers a presentation of the special theory of relativity that is mathematically rigorous and yet spells out in considerable detail the physical significance of the mathematics.

Starting at an introductory level, the book leads rapidly to important and often new results in synthetic differential geometry.

Aimed at starting researchers in the field, Realizability gives a rigorous, yet reasonable introduction to the basic concepts of a field which has passed several successive phases of abstraction.

Up-to-date research in metric diffusion along compact foliations is presented in this book.

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

This text is an elementary introduction to differential geometry.

In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them.

This textbook explores the theory behind differentiable manifolds and investigates various physics applications along the way.

A powerful introduction to one of the most active areas of theoretical and applied mathematics This distinctive introduction to one of the most far-reaching and beautiful areas of mathematics focuses on Banach spaces as the milieu in which most of the fundamental concepts are presented.

Topology as a subject, in our opinion, plays a central role in university education.

This unique volume, resulting from a conference at the Chern Institute of Mathematics dedicated to the memory of Xiao-Song Lin, presents a broad connection between topology and physics as exemplified by the relationship between low-dimensional topology and quantum field theory.

This book presents the topology of smooth 4-manifolds in an intuitive self-contained way, developed over a number of years by Professor Akbulut.

Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research.

This anthology aims to present the fundamental philosophical issues and tools required by the reflection within and upon geography and Geographic Information Systems (GIS) .

The most modern and thorough treatment of unstable homotopy theory available.

This volume is devoted to various aspects of Alexandrov Geometry for those wishing to get a detailed picture of the advances in the field.

In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity---including knotting---on the large scale.

This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors.