Topology

A unique presentation of modern geometric methods in quantum field theory for researchers and graduate students in mathematics and physics.

This IMA Volume in Mathematics and its Applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE is based on the proceedings of a very successful one-week workshop with the same title.

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincare conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture.

The book is devoted to algorithmic low-dimensional topology.

In this book we consider deep and classical results of homotopy theory like the homological Whitehead theorem, the Hurewicz theorem, the finiteness obstruction theorem of Wall, the theorems on Whitehead torsion and simple homotopy equivalences, and we characterize axiomatically the assumptions under which such results hold.

A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.

Eine verständliche und vollständige Einführung in die Mengentheoretische Topologie, die als Begleittext zu einer Vorlesung, aber auch zum Selbststudium für Studenten ab dem 3.

This book seeks to construct a consistent fundamental quantum theory of gravity, which is often considered one of the most challenging open problems in present-day physics.

This book is based on notes for a master's course given at Queen Mary, University of London, in the 1998/9 session.

This graduate textbook provides a natural and structured introduction to Continuum Theory, guiding readers from fundamental concepts to advanced topics.

Forming the basis of a second course in algebraic geometry, this book explains key ideas, each illustrated with abundant examples.

This textbook provides a comprehensive course in metric spaces.

This book brings together several directions of work in model theory between the late 1950s and early 1980s.

This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process.

The study of attractors of dynamical systems occupies an important position in the modern qualitative theory of differential equations.

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Originally published in 1984.

Part two of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

This book is the first systematic treatment of this area so far scattered in a vast number of articles.

Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces.

In the first volume of this survey (Arnol'd et al.

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces.

This third edition is addressed to the mathematician or graduate student of mathematics - or even the well-prepared undergraduate - who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis.

The Grothendieck construction provides an explicit link between indexed categories and opfibrations.

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This is the first edited volume that features two important frameworks, Huckel and quantum chemical topological analyses.

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck  theorem.

The conference on Ordered Algebraic Structures held in Curat;ao, from the 26th of June through the 30th of June, 1995, at the Avila Beach Hotel, marked the eighth year of ac- tivities by the Caribbean Mathematics Foundation (abbr.

Basic Real Analysis systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established.

This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer- sity year).

This definitive synthesis of mathematician Gregory Margulis's research brings together leading experts to cover the breadth and diversity of disciplines Margulis's work touches upon.

This book is an elementary introduction to some ideas and techniques that have revolutionized enumerative geometry: stable maps and quantum cohomology.

How a simple equation reshaped mathematicsLeonhard Euler's polyhedron formula describes the structure of many objects-from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules.

Wie bewegt sich ein Massenpunkt in einem Gebiet, an dessen Rand er elastisch zurückprallt?

Praise for George Francis's A Topological Picturebook:Bravo to Springer for reissuing this unique and beautiful book!

This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra.

This book pursues optimal design from the perspective of mechanical properties and resistance to failure caused by cracks and fatigue.

This book is about the smooth classification of a certainclass of algebraicsurfaces, namely regular ellipticsurfaces of geometric genus one, i.

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects.

Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves.